Abstract

While narrow absorption lines (NALs) are relatively stable, broad absorption lines (BALs) and mini-BAL systems usually show violent time variability within a few years via a mechanism that is not yet understood. In this study, we examine the variable ionization state (VIS) scenario as a plausible mechanism, as previously suspected. Over three years, we performed photometric monitoring observations of four mini-BAL and five NAL quasars at zem ∼ 2.0–3.1 using the 105 cm Kiso Schmidt Telescope in u, g, and i bands. We also performed spectroscopic monitoring observation of one of our mini-BAL quasars (HS 1603+3820) using the 188 cm Okayama Telescope over the same period as the photometric observations. Our main results are as follows: (1) Structure function (SF) analysis revealed that the quasar UV flux variability over three years was not large enough to support the VIS scenario, unless the ionization condition of outflow gas is very low. (2) There was no crucial difference between the SFs of mini-BAL and NAL quasars. (3) The variability of the mini-BAL and quasar light curves was weakly synchronized with a small time delay for HS 1603+3820. These results suggest that the VIS scenario may need additional mechanisms such as variable shielding by X-ray warm absorbers.

1 Introduction

Quasars are useful background sources when investigating objects along our lines of sight. The absorption features in quasar spectra (i.e., quasar absorption lines; QALs) are usually classified into intervening QALs, which originate in intervening galaxies and the intergalactic medium, and intrinsic QALs, whose origin is physically associated with background quasars. The latter comprise the accelerated gas outflow from the quasars themselves.

The gas outflow can be accelerated by several possible mechanisms: radiation pressure in the lines and continuum (Murray et al. 1995; Proga et al. 2000), magnetocentrifugal force (Everett 2005), and thermal pressure (Chelouche & Netzer 2005). However, the primary mechanism of the gas outflow is poorly understood. The outflow winds are important, because (1) they eject angular momentum from the quasar accretion disk and promote accretion of new gas (Murray et al. 1995; Proga et al. 2000); (2) they expel large amounts of energy and metallicity, thus contributing to the chemical evolution of the local universe (Moll et al. 2007; Di Matteo et al. 2005); and (3) they regulate star formation in nearby interstellar and intergalactic regions.

Broad absorption lines (BALs), defined as lines with a full width at half maximum (FWHM) exceeding 2000 km s−1 (Weymann et al. 1991), have been routinely used in outflow wind studies. However, the line parameters (e.g., column density and line width) of BALs cannot be measured by model fitting because the line profiles are hopelessly blended and saturated. On the other hand, mini-BALs (with FWHMs of 500–2000 km s−1) and narrow absorption lines (NALs; with FWHMs ≤ 500 km s−1) contain internal structures that can be model-fitted to probe their properties (e.g., Misawa et al. 2005, 2007b). The observed BALs, mini-BALs, or NALs depend on the viewing angle to the outflow stream (Murray et al. 1995; Ganguly et al. 2001). The detection rates of BALs, mini-BALs, and NALs are ∼10%–15%, ∼5%, and ∼50%, respectively (Hamann et al. 2012), which probably indicates the global covering fraction of the absorbers around the continuum sources.

Around 70%–90% of BALs are time-variable within 10 years (Gibson et al. 2008; Capellupo et al. 2011, 2012, 2013). As an extreme case, the measured C iv BAL variability of SDSS J141007.74+541203.3 is only 1.20 d in the quasar rest frame (Grier et al. 2015), representing the shortest timescale of absorption line variability ever reported. Recently, Misawa, Charlton, and Eracleous (2014) monitored the spectra of mini-BAL and NAL quasars, and found that only the former show significant time variability in their absorption lines.

However, the physical mechanisms of the absorption line variability remain unclear. To date, three scenarios have been proposed: (1) gas clouds crossing our line of sight (the gas motion scenario), (2) variable attenuation by flux that is redirected toward our line of sight by scattering material around the quasar (the reflection scenario), and (3) changing ionization levels in the outflow gas [the variable ionization state (VIS) scenario].

Misawa et al. (2005, 2007b) spectroscopically monitored the C iv mini-BAL in the quasar HS 1603+3820 for more than four years. They found multiple troughs in the mini-BAL that vary in concert. This finding eliminates the gas motion scenario (at least in 1603+3820) because it implies simultaneous crossing of gas clouds over our line of sight, which is unlikely. Misawa et al. (2010) also rejected the reflection scenario, because in spectropolarimetric observations of the same mini-BAL system, the fraction of polarized flux (i.e., the flux redirected by scattering material) is only ∼0.6%, too small to support the reflection scenario. Gibson et al. (2008) found no correlations between quasars and absorption line variability in 13 BAL quasars. On the other hand, Trévese et al. (2013) simultaneously monitored the equivalent widths (EWs) of BALs and the ultraviolet (UV) luminosities of their host quasars (i.e., ionizing photon density) and found clear correlations in a single quasar, supporting the VIS scenario. The VIS scenario has not been tested in mini-BAL/NAL quasars and is still being debated.

In this study, we verify the VIS scenario in the light curves of four mini-BAL quasars and five NAL quasars (hereafter, quasar variability).1 We also search for possible correlations between the outflow and quasar parameters, as discussed in the literature [e.g., Giveon et al. 1999 (G99, hereafter); Vanden Berk et al. 2004 (VB04, hereafter); de Vries et al. 2005; Wold et al. 2007; Wilhite et al. 2008 (W08, hereafter); Meusinger & Weiss 2013]. Section 2 of this paper describes the sample selection, observation, and data analysis. In section 3, we present the photometric data of mini-BAL/NAL quasars. Section 4 discusses the viability of the VIS scenario in mini-BAL and NAL quasars and the possible correlations between parameters. Results are summarized in section 5. Throughout, we adopt a cosmological model with H0 = 70 km s−1 Mpc−1, Ωm = 0.27, and ΩΛ = 0.73.

2 Observation and data analysis

2.1 Sample selection

Our samples are selected based on the availability of multi-epoch high dispersion spectroscopic studies in Misawa, Charlton, and Eracleous (2014). We sampled four mini-BAL quasars (HS 1603+3820, Q 1157+014, Q 2343+125, and UM 675) and five NAL quasars (Q 0450−13102 Q 0940−1050, Q 1009+2956, Q 1700+6416, and Q 1946+7658), whose absorption line variabilities (or non-variabilities) have been already studied by Misawa, Charlton, and Eracleous (2014) using Subaru with the High Dispersion Spectrograph (HDS; R ∼ 450000), Keck with the High Resolution Echelle Spectrometer (HIRES; R ∼ 360000), and Very Large Telescope (VLT) with the Ultraviolet and Visual Echelle Spectrograph (UVES; R ∼ 40000) in time intervals of ∼4–12 yr. Our sample quasars are summarized in table 1.

2.2 Imaging observations

Photometric observations were performed by the 105 cm Kiso Schmidt Telescope with a Kiso Wide Field Camera (KWFC: Sako et al. 2012). The eight 2 K × 4 K charge-coupled devices (CCDs) in the KWFC provide a field of view (FoV) of 2| $_{.}^{\circ}$|2 × 2| $_{.}^{\circ}$|2. Since five of our nine quasars are located in the Sloan digital sky survey (SDSS) field, our photometry used the SDSS (u, g, and i) filters instead of the Johnson filters. Moreover, as the u band is less sensitive than the g and i bands, we adopted a 2 × 2 binning mode (1|${^{\prime\prime}_{.}}$|89 pixel−1) for the u-band observations.

The quasars were repeatedly observed from 2012 April 14 to 2014 October 16 with a typical monitoring interval of three months, representing the typical variability timescale of BALs (e.g., Capellupo et al. 2011, 2012, 2013). Observation logs of the individual quasars are summarized in table 2. The log excludes Q 0450−1310 and Q 1946+7658 in the u band, because the continuum fluxes of these quasars are heavily absorbed by the foreground intergalactic medium (i.e., the Lyα forest). Bias subtraction, flat-fielding, sky subtraction, and world coordinate system matching were performed by an automatic analysis pipeline. The same pipeline was used for supernova discoveries in the Kiso Supernova Survey (KISS) project (Morokuma et al. 2014).

2.3 Relative photometry

The extraction and magnitude measurements of quasars and comparison stars were performed by SExtractor (Bertin & Arnouts 1996). Regions crowded with stars were selected by the flux estimation code FLUX_BEST.

Since we mainly investigate the light curves of quasars (i.e., the relative magnitudes between observing epochs), we do not need to measure their true magnitudes. Therefore, we performed relative photometry by simultaneously monitoring the quasars and effective photometric standard stars (hereafter called comparison stars) near the quasars. The comparison stars were selected as follows. We chose two (unsaturated) bright stars near the target quasars in the same CCDs and investigated their relative magnitudes Δm (=|ms1ms2|), where ms1 and ms2 are the magnitudes of the bright stars. If the relative variability between the two stars |Δm −〈Δm〉|, where 〈Δm〉 is the average value of all observations, was always below 0.05 mag and below the 3 σ level of the photometric errors (i.e., Δm was very stable), one of the stars was designated a comparison star. Otherwise, we continued searching for stars that satisfied the above criteria. A single comparison star was used in all epochs, unless different stars in different filters were required.

The quasars were subjected to relative photometry against these comparison stars and were classified as variable stars if their magnitude changed by more than 3 σ and 0.05 mag. The total photometric error σqso in the quasar photometry (in units of magnitude) is defined as
(1)
where σph is the photometric error in the epochs to be compared and σstar is the weighted average of the variability of the comparison star, which is defined as
(2)

In equation (2), σij2 is the sum of squares of the photometric error in the comparison star between epochs i and j.

2.4 Properties of sample quasars

Table 1 lists the properties of our targets, namely, the quasar parameters (coordinates, emission and absorption redshifts, optical magnitudes, radio loudness, bolometric luminosities, black hole masses, and Eddington ratios) and the absorption parameters (ejection velocities, whether lines are variable or not, averaged EWs, and variability amplitude of EWs). The last two parameters are measured for C iv absorption lines. These data were collected from literature or calculated from the reported data. After calculating the monochromatic luminosity at λ = 1450 Å from the V-band magnitude, we applied the bolometric correction Lbol∼ 4.4λLλ, following Narayanan et al. (2004). For the black hole mass, we used the heuristic equation of Vestergaard and Peterson (2006),
(3)
where the FWHM of the C iv broad emission line is measured from VLT/UVES archive spectra.
Table 1.

Sample quasars.

QuasarRA*Decm  V (MV)z  em  §z  abs  v  ej  Variability**|$\langle {\rm EW}_{\rm abs, C\,{\small {I}V}} \rangle {}^{\dagger \dagger}$|〈ΔEW〉‡‡(ΔEW)max§§R  ‖‖log Lbol♯♯log  MBH/M***円†Ref.‡‡‡
(mag)(km s−1)(Å)
mini-BAL quasar
HS 1603+382016:04:55.4+38:12:0115.99 (−30.60)2.542∼2.43∼9500Y13.102.03 ± 0.387.83 ± 2.16<0.248.279.722.871,5,8
Q 1157+01411:59:44.8+01:12:0717.52 (−28.49)2.00∼1.97∼3000Y§§§37.961.09 ± 1.211.41 ± 1.6147147.479.141.702,5,2
Q 2343+12523:46:28.2+12:49:0017.0 (−29.62)2.515∼2.24∼24400N2.480.84 ± 0.481.25 ± 0.821.2747.879.084.9011,5,9
UM 67501:52:27.3−20:01:0617.4 (−28.81)2.15∼2.13∼1900Y4.51‖‖‖1.54 ± 0.3243847.589.520.913,5,10
NAL quasar
Q 0450−131004:53:13.6−13:05:5516.5 (−29.89)2.3002.230737037N<1.6948.019.591.904,12,12
Q 0940−105009:42:53.4−11:04:2516.90 (−30.26)3.0802.834718578N1.640.03 ± 0.040.04 ± 0.06<2.5848.119.483.594,12,12
Q 1009+295610:11:56.6+29:41:4116.05 (−30.71)2.6442.253333879N1.73‖‖‖0.01 ± 0.07<1.5848.499.537.214,6,8
Q 1700+641617:01:00.6+64:12:0916.17 (−30.66)2.7222.7125767N0.300.02 ± 0.010.03 ± 0.02<1.2448.9810.43.024,6,2
Q 1946+765819:44:55.0+77:05:5216.20 (−30.94)3.0512.8928927N0.29♯♯♯♯♯♯<1.3548.3810.231.124,7,7
QuasarRA*Decm  V (MV)z  em  §z  abs  v  ej  Variability**|$\langle {\rm EW}_{\rm abs, C\,{\small {I}V}} \rangle {}^{\dagger \dagger}$|〈ΔEW〉‡‡(ΔEW)max§§R  ‖‖log Lbol♯♯log  MBH/M***円†Ref.‡‡‡
(mag)(km s−1)(Å)
mini-BAL quasar
HS 1603+382016:04:55.4+38:12:0115.99 (−30.60)2.542∼2.43∼9500Y13.102.03 ± 0.387.83 ± 2.16<0.248.279.722.871,5,8
Q 1157+01411:59:44.8+01:12:0717.52 (−28.49)2.00∼1.97∼3000Y§§§37.961.09 ± 1.211.41 ± 1.6147147.479.141.702,5,2
Q 2343+12523:46:28.2+12:49:0017.0 (−29.62)2.515∼2.24∼24400N2.480.84 ± 0.481.25 ± 0.821.2747.879.084.9011,5,9
UM 67501:52:27.3−20:01:0617.4 (−28.81)2.15∼2.13∼1900Y4.51‖‖‖1.54 ± 0.3243847.589.520.913,5,10
NAL quasar
Q 0450−131004:53:13.6−13:05:5516.5 (−29.89)2.3002.230737037N<1.6948.019.591.904,12,12
Q 0940−105009:42:53.4−11:04:2516.90 (−30.26)3.0802.834718578N1.640.03 ± 0.040.04 ± 0.06<2.5848.119.483.594,12,12
Q 1009+295610:11:56.6+29:41:4116.05 (−30.71)2.6442.253333879N1.73‖‖‖0.01 ± 0.07<1.5848.499.537.214,6,8
Q 1700+641617:01:00.6+64:12:0916.17 (−30.66)2.7222.7125767N0.300.02 ± 0.010.03 ± 0.02<1.2448.9810.43.024,6,2
Q 1946+765819:44:55.0+77:05:5216.20 (−30.94)3.0512.8928927N0.29♯♯♯♯♯♯<1.3548.3810.231.124,7,7

*Right ascension.

Declination.

 V-band magnitude (Vega) from Véron-Cetty and Véron (2010). Values in parentheses are absolute magnitudes.

§C iv emission redshift.

Apparent redshift of C iv outflow.

Ejection velocity determined from the quasar emission redshift (in km s −1).

**Absorption line variability (Yes or No). See Misawa, Charlton, and Eracleous (2014).

††Averaged equivalent width of C iv absorption line given by the outflows (in Å), from Misawa, Charlton, and Eracleous (2014).

‡‡Averaged amplitude of C iv absorption variabilities, from Misawa, Charlton, and Eracleous (2014).

§§ Maximum amplitude of C iv absorption variabilities, from Misawa, Charlton, and Eracleous (2014).

‖‖Radio loudness.

♯♯Bolometric luminosity.

***Central black hole mass (in units of solar units).

†††Eddington ratio, Lbol/LEdd.

‡‡‡References for R, log Lbol, and log MBH in numerical order: (1) Just et al. (2007), (2) Shen et al. (2011), (3) Griffith et al. (1994), (4) Misawa et al. (2007a), (5) Misawa, Charlton, and Eracleous (2014), (6) Wu et al. (2010), (7) Kuhn et al. (1995), Różańska et al. (2014), (9) Trainor and Steidel (2012), (10) Dietrich et al. (2009), (11) FIRST survey, and (12) this paper.

§§§Variability is seen only in Si iv mini-BAL with a significance level of ∼2.4 σ (Misawa et al. 2014).

‖‖‖Cannot be calculated because our sample was limited to two epochs.

♯♯♯We cannot calculate these because C iv NAL was observed only once (Misawa et al. 2014).

Table 1.

Sample quasars.

QuasarRA*Decm  V (MV)z  em  §z  abs  v  ej  Variability**|$\langle {\rm EW}_{\rm abs, C\,{\small {I}V}} \rangle {}^{\dagger \dagger}$|〈ΔEW〉‡‡(ΔEW)max§§R  ‖‖log Lbol♯♯log  MBH/M***円†Ref.‡‡‡
(mag)(km s−1)(Å)
mini-BAL quasar
HS 1603+382016:04:55.4+38:12:0115.99 (−30.60)2.542∼2.43∼9500Y13.102.03 ± 0.387.83 ± 2.16<0.248.279.722.871,5,8
Q 1157+01411:59:44.8+01:12:0717.52 (−28.49)2.00∼1.97∼3000Y§§§37.961.09 ± 1.211.41 ± 1.6147147.479.141.702,5,2
Q 2343+12523:46:28.2+12:49:0017.0 (−29.62)2.515∼2.24∼24400N2.480.84 ± 0.481.25 ± 0.821.2747.879.084.9011,5,9
UM 67501:52:27.3−20:01:0617.4 (−28.81)2.15∼2.13∼1900Y4.51‖‖‖1.54 ± 0.3243847.589.520.913,5,10
NAL quasar
Q 0450−131004:53:13.6−13:05:5516.5 (−29.89)2.3002.230737037N<1.6948.019.591.904,12,12
Q 0940−105009:42:53.4−11:04:2516.90 (−30.26)3.0802.834718578N1.640.03 ± 0.040.04 ± 0.06<2.5848.119.483.594,12,12
Q 1009+295610:11:56.6+29:41:4116.05 (−30.71)2.6442.253333879N1.73‖‖‖0.01 ± 0.07<1.5848.499.537.214,6,8
Q 1700+641617:01:00.6+64:12:0916.17 (−30.66)2.7222.7125767N0.300.02 ± 0.010.03 ± 0.02<1.2448.9810.43.024,6,2
Q 1946+765819:44:55.0+77:05:5216.20 (−30.94)3.0512.8928927N0.29♯♯♯♯♯♯<1.3548.3810.231.124,7,7
QuasarRA*Decm  V (MV)z  em  §z  abs  v  ej  Variability**|$\langle {\rm EW}_{\rm abs, C\,{\small {I}V}} \rangle {}^{\dagger \dagger}$|〈ΔEW〉‡‡(ΔEW)max§§R  ‖‖log Lbol♯♯log  MBH/M***円†Ref.‡‡‡
(mag)(km s−1)(Å)
mini-BAL quasar
HS 1603+382016:04:55.4+38:12:0115.99 (−30.60)2.542∼2.43∼9500Y13.102.03 ± 0.387.83 ± 2.16<0.248.279.722.871,5,8
Q 1157+01411:59:44.8+01:12:0717.52 (−28.49)2.00∼1.97∼3000Y§§§37.961.09 ± 1.211.41 ± 1.6147147.479.141.702,5,2
Q 2343+12523:46:28.2+12:49:0017.0 (−29.62)2.515∼2.24∼24400N2.480.84 ± 0.481.25 ± 0.821.2747.879.084.9011,5,9
UM 67501:52:27.3−20:01:0617.4 (−28.81)2.15∼2.13∼1900Y4.51‖‖‖1.54 ± 0.3243847.589.520.913,5,10
NAL quasar
Q 0450−131004:53:13.6−13:05:5516.5 (−29.89)2.3002.230737037N<1.6948.019.591.904,12,12
Q 0940−105009:42:53.4−11:04:2516.90 (−30.26)3.0802.834718578N1.640.03 ± 0.040.04 ± 0.06<2.5848.119.483.594,12,12
Q 1009+295610:11:56.6+29:41:4116.05 (−30.71)2.6442.253333879N1.73‖‖‖0.01 ± 0.07<1.5848.499.537.214,6,8
Q 1700+641617:01:00.6+64:12:0916.17 (−30.66)2.7222.7125767N0.300.02 ± 0.010.03 ± 0.02<1.2448.9810.43.024,6,2
Q 1946+765819:44:55.0+77:05:5216.20 (−30.94)3.0512.8928927N0.29♯♯♯♯♯♯<1.3548.3810.231.124,7,7

*Right ascension.

Declination.

 V-band magnitude (Vega) from Véron-Cetty and Véron (2010). Values in parentheses are absolute magnitudes.

§C iv emission redshift.

Apparent redshift of C iv outflow.

Ejection velocity determined from the quasar emission redshift (in km s −1).

**Absorption line variability (Yes or No). See Misawa, Charlton, and Eracleous (2014).

††Averaged equivalent width of C iv absorption line given by the outflows (in Å), from Misawa, Charlton, and Eracleous (2014).

‡‡Averaged amplitude of C iv absorption variabilities, from Misawa, Charlton, and Eracleous (2014).

§§ Maximum amplitude of C iv absorption variabilities, from Misawa, Charlton, and Eracleous (2014).

‖‖Radio loudness.

♯♯Bolometric luminosity.

***Central black hole mass (in units of solar units).

†††Eddington ratio, Lbol/LEdd.

‡‡‡References for R, log Lbol, and log MBH in numerical order: (1) Just et al. (2007), (2) Shen et al. (2011), (3) Griffith et al. (1994), (4) Misawa et al. (2007a), (5) Misawa, Charlton, and Eracleous (2014), (6) Wu et al. (2010), (7) Kuhn et al. (1995), Różańska et al. (2014), (9) Trainor and Steidel (2012), (10) Dietrich et al. (2009), (11) FIRST survey, and (12) this paper.

§§§Variability is seen only in Si iv mini-BAL with a significance level of ∼2.4 σ (Misawa et al. 2014).

‖‖‖Cannot be calculated because our sample was limited to two epochs.

♯♯♯We cannot calculate these because C iv NAL was observed only once (Misawa et al. 2014).

Table 2.

Log of observations.

QSOObs. dateBandΔtrest*t  EXP  
(d)(s)
HS 1603+3820 (mini-BAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 12i7.960 × 5
2012 May 12g8.260 × 5
2012 May 13u8.2300 × 5
2012 Aug 24u37.3300 × 5
2012 Aug 24g37.360 × 3
2012 Sep 21g45.2180 × 3
2013 Jan 15g77.9180 × 5
2013 Feb 6g84.160 × 5
2013 Feb 7i84.4300 × 3
2013 Mar 4u91.5300 × 3
2013 May 17g112.460 × 5
2013 May 17i112.460 × 5
2013 May 18u112.6420 × 1, 480 × 3, 600 × 1
2013 Sep 27g149.9120 × 5
2013 Sep 27i149.9120 × 5
2013 Sep 29u150.5300 × 5
2014 May 19g215.060 × 5
2014 May 21u216.5300 × 4
2014 Sep 2g245.9120 × 2, 180 × 2, 240 × 1
Q 1157+014 (mini-BAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g0120 × 5
2012 Apr 14i060 × 1, 120 × 4
2012 May 12u9.3300 × 5
2012 May 12g9.3120 × 5
2012 May 12i9.3120 × 5
2013 Jan 15g92180 × 1, 300 × 5
2013 Feb 6g99.3180 × 5
2013 Mar 3g107.7180 × 5
2013 Mar 3i107.7180 × 3
2013 Mar 4u108.0600 × 3
2013 May 17g132.7120 × 5
2013 May 17i132.7120 × 5
2013 Dec 10u201.7600 × 4
2013 Dec 10g201.7360 × 3
2013 Dec 10i201.7180 × 5
2014 May 19g255.0120 × 5
Q 2343+125 (mini-BAL QSO)2012 Aug 25g0120 × 1, 180 × 1, 240 × 1
2012 Sep 8g4.0120 × 5
2012 Oct 21g16.2120 × 5
2012 Oct 21i0120 × 5
2012 Nov 16g23.6120 × 4
2012 Nov 16i7.4120 × 5
2013 Sep 27g113.2120 × 4, 240 × 1
2013 Sep 27i97.0120 × 5
2013 Sep 28u0300 × 5
2014 Sep 2g209.9120 × 1, 180 × 4
2014 Oct 16u109.0300 × 1, 360 × 4
2014 Oct 16g222.5120 × 5
2014 Oct 16i206.2120 × 4
UM 675 (mini-BAL QSO)2012 Aug 26g0300 × 2
2012 Sep 8g4.1120 × 5
2012 Oct 21g17.8120 × 5
2012 Oct 21i0120 × 5
2012 Nov 17g26.0120 × 4
2012 Nov 18i8.9120 × 5
2013 Sep 27g126.0180 × 1, 240 × 3
2013 Sep 28u0420 × 5
2013 Sep 28i108.6120 × 5
2014 Sep 2g234.0180 × 3
2014 Oct 16u121.6300 × 2
2014 Oct 16i230.2120 × 4
Q 0450−1310 (NAL QSO)2012 Sep 9g060 × 2, 120 × 3
2012 Oct 20g12.460 × 3, 120 × 2
2012 Oct 20i0120 × 5
2012 Nov 17g20.9180 × 3
2012 Nov 18i8.860 × 5
2013 Feb 6g45.4180 × 2, 240 × 1
2013 Sep 27g116.0120 × 5
2013 Sep 27i103.660 × 5
2013 Dec 10g138.5240 × 5
2013 Dec 10i126.160 × 5
Q 0940−1050 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14i060 × 5
2012 May 11g060 × 5
2012 May 12i6.960 × 5
2012 May 13u7.1300 × 3
2012 Nov 17g46.6300 × 4, 240 × 1
2013 Jan 15g61.0180 × 5
2013 Feb 6g66.4180 × 5
2013 Mar 3g72.5120 × 5
2013 Mar 4u79.4600 × 2
2013 May 17g90.960 × 5
2013 Dec 10g142.0180 × 5
2013 Dec 10i148.3120 × 5
Q 1009+2956 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 4
2012 May 11u8.0300 × 5
2012 May 11g7.460 × 5
2012 May 12i7.760 × 5
2012 Nov 18g59.8180 × 1, 300 × 4
2012 Nov 18i59.8120 × 5
2013 Jan 15g75.7180 × 6
2013 Feb 6g81.860 × 4, 180 × 1
2013 Feb 7i82.0300 × 5
2013 Mar 3g88.660 × 4, 120 × 1
2013 Mar 3i88.660 × 4, 120 × 1
2013 Mar 4u88.9300 × 3
2013 May 17g109.260 × 5
2013 Dec 10u166.0300 × 5
2013 Dec 10g166.0120 × 5
2013 Dec 10i166.060 × 5
2014 May 19g209.960 × 5
Q 1700+6416 (NAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g7.260 × 5
2012 May 12i7.560 × 5
2012 May 13u7.8300 × 5
2012 Aug 25g35.7120 × 1, 240 × 1, 300 × 1
2012 Aug 25i35.7300 × 3
2012 Sep 9g39.8180 × 2, 300 × 1
2012 Oct 19g50.560 × 5
2012 Oct 20i50.860 × 5
2012 Oct 21u51.0300 × 5
2013 Jan 15g74.2180 × 5
2013 Feb 6g80.160 × 5
2013 Mar 3g86.5180 × 5
2013 Mar 4u87.0300 × 5
2013 May 17g106.960 × 5
2013 May 17i106.960 × 5
2013 May 18u107.2300 × 1, 480 × 1, 600 × 2
2013 Sep 27g142.7120 × 5
2013 Sep 27i142.760 × 4
2013 Sep 28u142.9300 × 5
2014 May 19g205.560 × 5
2014 Sep 2g234.0120 × 5
2014 Oct 16u238.0300 × 5
2014 Oct 16g245.860 × 4, 120 × 1
2014 Oct 16i245.060 × 1, 120 × 3
Q 1946+7658 (NAL QSO)2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g6.760 × 5
2012 May 11i6.760 × 5
2012 Aug 24g32.6300 × 3
2012 Aug 25i32.8120 × 1, 300 × 2
2012 Sep 8g36.360 × 2, 120 × 3
2012 Oct 19g46.460 × 6
2012 Oct 20i46.660 × 5
2013 Nov 18g53.8120 × 5
2012 Nov 18i53.8120 × 5
2013 Feb 6g73.660 × 1, 300 × 2
2013 Mar 3g79.760 × 5
2013 May 17g98.260 × 5
2013 May 17i98.260 × 5
2013 Sep 27g124.4120 × 1, 180 × 2, 240 × 1
2013 Sep 28i131.360 × 5
2014 May 19g188.860 × 5
2014 Sep 2g215.060 × 1, 120 × 4
QSOObs. dateBandΔtrest*t  EXP  
(d)(s)
HS 1603+3820 (mini-BAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 12i7.960 × 5
2012 May 12g8.260 × 5
2012 May 13u8.2300 × 5
2012 Aug 24u37.3300 × 5
2012 Aug 24g37.360 × 3
2012 Sep 21g45.2180 × 3
2013 Jan 15g77.9180 × 5
2013 Feb 6g84.160 × 5
2013 Feb 7i84.4300 × 3
2013 Mar 4u91.5300 × 3
2013 May 17g112.460 × 5
2013 May 17i112.460 × 5
2013 May 18u112.6420 × 1, 480 × 3, 600 × 1
2013 Sep 27g149.9120 × 5
2013 Sep 27i149.9120 × 5
2013 Sep 29u150.5300 × 5
2014 May 19g215.060 × 5
2014 May 21u216.5300 × 4
2014 Sep 2g245.9120 × 2, 180 × 2, 240 × 1
Q 1157+014 (mini-BAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g0120 × 5
2012 Apr 14i060 × 1, 120 × 4
2012 May 12u9.3300 × 5
2012 May 12g9.3120 × 5
2012 May 12i9.3120 × 5
2013 Jan 15g92180 × 1, 300 × 5
2013 Feb 6g99.3180 × 5
2013 Mar 3g107.7180 × 5
2013 Mar 3i107.7180 × 3
2013 Mar 4u108.0600 × 3
2013 May 17g132.7120 × 5
2013 May 17i132.7120 × 5
2013 Dec 10u201.7600 × 4
2013 Dec 10g201.7360 × 3
2013 Dec 10i201.7180 × 5
2014 May 19g255.0120 × 5
Q 2343+125 (mini-BAL QSO)2012 Aug 25g0120 × 1, 180 × 1, 240 × 1
2012 Sep 8g4.0120 × 5
2012 Oct 21g16.2120 × 5
2012 Oct 21i0120 × 5
2012 Nov 16g23.6120 × 4
2012 Nov 16i7.4120 × 5
2013 Sep 27g113.2120 × 4, 240 × 1
2013 Sep 27i97.0120 × 5
2013 Sep 28u0300 × 5
2014 Sep 2g209.9120 × 1, 180 × 4
2014 Oct 16u109.0300 × 1, 360 × 4
2014 Oct 16g222.5120 × 5
2014 Oct 16i206.2120 × 4
UM 675 (mini-BAL QSO)2012 Aug 26g0300 × 2
2012 Sep 8g4.1120 × 5
2012 Oct 21g17.8120 × 5
2012 Oct 21i0120 × 5
2012 Nov 17g26.0120 × 4
2012 Nov 18i8.9120 × 5
2013 Sep 27g126.0180 × 1, 240 × 3
2013 Sep 28u0420 × 5
2013 Sep 28i108.6120 × 5
2014 Sep 2g234.0180 × 3
2014 Oct 16u121.6300 × 2
2014 Oct 16i230.2120 × 4
Q 0450−1310 (NAL QSO)2012 Sep 9g060 × 2, 120 × 3
2012 Oct 20g12.460 × 3, 120 × 2
2012 Oct 20i0120 × 5
2012 Nov 17g20.9180 × 3
2012 Nov 18i8.860 × 5
2013 Feb 6g45.4180 × 2, 240 × 1
2013 Sep 27g116.0120 × 5
2013 Sep 27i103.660 × 5
2013 Dec 10g138.5240 × 5
2013 Dec 10i126.160 × 5
Q 0940−1050 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14i060 × 5
2012 May 11g060 × 5
2012 May 12i6.960 × 5
2012 May 13u7.1300 × 3
2012 Nov 17g46.6300 × 4, 240 × 1
2013 Jan 15g61.0180 × 5
2013 Feb 6g66.4180 × 5
2013 Mar 3g72.5120 × 5
2013 Mar 4u79.4600 × 2
2013 May 17g90.960 × 5
2013 Dec 10g142.0180 × 5
2013 Dec 10i148.3120 × 5
Q 1009+2956 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 4
2012 May 11u8.0300 × 5
2012 May 11g7.460 × 5
2012 May 12i7.760 × 5
2012 Nov 18g59.8180 × 1, 300 × 4
2012 Nov 18i59.8120 × 5
2013 Jan 15g75.7180 × 6
2013 Feb 6g81.860 × 4, 180 × 1
2013 Feb 7i82.0300 × 5
2013 Mar 3g88.660 × 4, 120 × 1
2013 Mar 3i88.660 × 4, 120 × 1
2013 Mar 4u88.9300 × 3
2013 May 17g109.260 × 5
2013 Dec 10u166.0300 × 5
2013 Dec 10g166.0120 × 5
2013 Dec 10i166.060 × 5
2014 May 19g209.960 × 5
Q 1700+6416 (NAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g7.260 × 5
2012 May 12i7.560 × 5
2012 May 13u7.8300 × 5
2012 Aug 25g35.7120 × 1, 240 × 1, 300 × 1
2012 Aug 25i35.7300 × 3
2012 Sep 9g39.8180 × 2, 300 × 1
2012 Oct 19g50.560 × 5
2012 Oct 20i50.860 × 5
2012 Oct 21u51.0300 × 5
2013 Jan 15g74.2180 × 5
2013 Feb 6g80.160 × 5
2013 Mar 3g86.5180 × 5
2013 Mar 4u87.0300 × 5
2013 May 17g106.960 × 5
2013 May 17i106.960 × 5
2013 May 18u107.2300 × 1, 480 × 1, 600 × 2
2013 Sep 27g142.7120 × 5
2013 Sep 27i142.760 × 4
2013 Sep 28u142.9300 × 5
2014 May 19g205.560 × 5
2014 Sep 2g234.0120 × 5
2014 Oct 16u238.0300 × 5
2014 Oct 16g245.860 × 4, 120 × 1
2014 Oct 16i245.060 × 1, 120 × 3
Q 1946+7658 (NAL QSO)2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g6.760 × 5
2012 May 11i6.760 × 5
2012 Aug 24g32.6300 × 3
2012 Aug 25i32.8120 × 1, 300 × 2
2012 Sep 8g36.360 × 2, 120 × 3
2012 Oct 19g46.460 × 6
2012 Oct 20i46.660 × 5
2013 Nov 18g53.8120 × 5
2012 Nov 18i53.8120 × 5
2013 Feb 6g73.660 × 1, 300 × 2
2013 Mar 3g79.760 × 5
2013 May 17g98.260 × 5
2013 May 17i98.260 × 5
2013 Sep 27g124.4120 × 1, 180 × 2, 240 × 1
2013 Sep 28i131.360 × 5
2014 May 19g188.860 × 5
2014 Sep 2g215.060 × 1, 120 × 4

*Time delay from the first observation in the quasar rest frame. Zero denotes the first epoch.

Total exposure time for usable image, which is altered according to the weather.

Table 2.

Log of observations.

QSOObs. dateBandΔtrest*t  EXP  
(d)(s)
HS 1603+3820 (mini-BAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 12i7.960 × 5
2012 May 12g8.260 × 5
2012 May 13u8.2300 × 5
2012 Aug 24u37.3300 × 5
2012 Aug 24g37.360 × 3
2012 Sep 21g45.2180 × 3
2013 Jan 15g77.9180 × 5
2013 Feb 6g84.160 × 5
2013 Feb 7i84.4300 × 3
2013 Mar 4u91.5300 × 3
2013 May 17g112.460 × 5
2013 May 17i112.460 × 5
2013 May 18u112.6420 × 1, 480 × 3, 600 × 1
2013 Sep 27g149.9120 × 5
2013 Sep 27i149.9120 × 5
2013 Sep 29u150.5300 × 5
2014 May 19g215.060 × 5
2014 May 21u216.5300 × 4
2014 Sep 2g245.9120 × 2, 180 × 2, 240 × 1
Q 1157+014 (mini-BAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g0120 × 5
2012 Apr 14i060 × 1, 120 × 4
2012 May 12u9.3300 × 5
2012 May 12g9.3120 × 5
2012 May 12i9.3120 × 5
2013 Jan 15g92180 × 1, 300 × 5
2013 Feb 6g99.3180 × 5
2013 Mar 3g107.7180 × 5
2013 Mar 3i107.7180 × 3
2013 Mar 4u108.0600 × 3
2013 May 17g132.7120 × 5
2013 May 17i132.7120 × 5
2013 Dec 10u201.7600 × 4
2013 Dec 10g201.7360 × 3
2013 Dec 10i201.7180 × 5
2014 May 19g255.0120 × 5
Q 2343+125 (mini-BAL QSO)2012 Aug 25g0120 × 1, 180 × 1, 240 × 1
2012 Sep 8g4.0120 × 5
2012 Oct 21g16.2120 × 5
2012 Oct 21i0120 × 5
2012 Nov 16g23.6120 × 4
2012 Nov 16i7.4120 × 5
2013 Sep 27g113.2120 × 4, 240 × 1
2013 Sep 27i97.0120 × 5
2013 Sep 28u0300 × 5
2014 Sep 2g209.9120 × 1, 180 × 4
2014 Oct 16u109.0300 × 1, 360 × 4
2014 Oct 16g222.5120 × 5
2014 Oct 16i206.2120 × 4
UM 675 (mini-BAL QSO)2012 Aug 26g0300 × 2
2012 Sep 8g4.1120 × 5
2012 Oct 21g17.8120 × 5
2012 Oct 21i0120 × 5
2012 Nov 17g26.0120 × 4
2012 Nov 18i8.9120 × 5
2013 Sep 27g126.0180 × 1, 240 × 3
2013 Sep 28u0420 × 5
2013 Sep 28i108.6120 × 5
2014 Sep 2g234.0180 × 3
2014 Oct 16u121.6300 × 2
2014 Oct 16i230.2120 × 4
Q 0450−1310 (NAL QSO)2012 Sep 9g060 × 2, 120 × 3
2012 Oct 20g12.460 × 3, 120 × 2
2012 Oct 20i0120 × 5
2012 Nov 17g20.9180 × 3
2012 Nov 18i8.860 × 5
2013 Feb 6g45.4180 × 2, 240 × 1
2013 Sep 27g116.0120 × 5
2013 Sep 27i103.660 × 5
2013 Dec 10g138.5240 × 5
2013 Dec 10i126.160 × 5
Q 0940−1050 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14i060 × 5
2012 May 11g060 × 5
2012 May 12i6.960 × 5
2012 May 13u7.1300 × 3
2012 Nov 17g46.6300 × 4, 240 × 1
2013 Jan 15g61.0180 × 5
2013 Feb 6g66.4180 × 5
2013 Mar 3g72.5120 × 5
2013 Mar 4u79.4600 × 2
2013 May 17g90.960 × 5
2013 Dec 10g142.0180 × 5
2013 Dec 10i148.3120 × 5
Q 1009+2956 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 4
2012 May 11u8.0300 × 5
2012 May 11g7.460 × 5
2012 May 12i7.760 × 5
2012 Nov 18g59.8180 × 1, 300 × 4
2012 Nov 18i59.8120 × 5
2013 Jan 15g75.7180 × 6
2013 Feb 6g81.860 × 4, 180 × 1
2013 Feb 7i82.0300 × 5
2013 Mar 3g88.660 × 4, 120 × 1
2013 Mar 3i88.660 × 4, 120 × 1
2013 Mar 4u88.9300 × 3
2013 May 17g109.260 × 5
2013 Dec 10u166.0300 × 5
2013 Dec 10g166.0120 × 5
2013 Dec 10i166.060 × 5
2014 May 19g209.960 × 5
Q 1700+6416 (NAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g7.260 × 5
2012 May 12i7.560 × 5
2012 May 13u7.8300 × 5
2012 Aug 25g35.7120 × 1, 240 × 1, 300 × 1
2012 Aug 25i35.7300 × 3
2012 Sep 9g39.8180 × 2, 300 × 1
2012 Oct 19g50.560 × 5
2012 Oct 20i50.860 × 5
2012 Oct 21u51.0300 × 5
2013 Jan 15g74.2180 × 5
2013 Feb 6g80.160 × 5
2013 Mar 3g86.5180 × 5
2013 Mar 4u87.0300 × 5
2013 May 17g106.960 × 5
2013 May 17i106.960 × 5
2013 May 18u107.2300 × 1, 480 × 1, 600 × 2
2013 Sep 27g142.7120 × 5
2013 Sep 27i142.760 × 4
2013 Sep 28u142.9300 × 5
2014 May 19g205.560 × 5
2014 Sep 2g234.0120 × 5
2014 Oct 16u238.0300 × 5
2014 Oct 16g245.860 × 4, 120 × 1
2014 Oct 16i245.060 × 1, 120 × 3
Q 1946+7658 (NAL QSO)2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g6.760 × 5
2012 May 11i6.760 × 5
2012 Aug 24g32.6300 × 3
2012 Aug 25i32.8120 × 1, 300 × 2
2012 Sep 8g36.360 × 2, 120 × 3
2012 Oct 19g46.460 × 6
2012 Oct 20i46.660 × 5
2013 Nov 18g53.8120 × 5
2012 Nov 18i53.8120 × 5
2013 Feb 6g73.660 × 1, 300 × 2
2013 Mar 3g79.760 × 5
2013 May 17g98.260 × 5
2013 May 17i98.260 × 5
2013 Sep 27g124.4120 × 1, 180 × 2, 240 × 1
2013 Sep 28i131.360 × 5
2014 May 19g188.860 × 5
2014 Sep 2g215.060 × 1, 120 × 4
QSOObs. dateBandΔtrest*t  EXP  
(d)(s)
HS 1603+3820 (mini-BAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 12i7.960 × 5
2012 May 12g8.260 × 5
2012 May 13u8.2300 × 5
2012 Aug 24u37.3300 × 5
2012 Aug 24g37.360 × 3
2012 Sep 21g45.2180 × 3
2013 Jan 15g77.9180 × 5
2013 Feb 6g84.160 × 5
2013 Feb 7i84.4300 × 3
2013 Mar 4u91.5300 × 3
2013 May 17g112.460 × 5
2013 May 17i112.460 × 5
2013 May 18u112.6420 × 1, 480 × 3, 600 × 1
2013 Sep 27g149.9120 × 5
2013 Sep 27i149.9120 × 5
2013 Sep 29u150.5300 × 5
2014 May 19g215.060 × 5
2014 May 21u216.5300 × 4
2014 Sep 2g245.9120 × 2, 180 × 2, 240 × 1
Q 1157+014 (mini-BAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g0120 × 5
2012 Apr 14i060 × 1, 120 × 4
2012 May 12u9.3300 × 5
2012 May 12g9.3120 × 5
2012 May 12i9.3120 × 5
2013 Jan 15g92180 × 1, 300 × 5
2013 Feb 6g99.3180 × 5
2013 Mar 3g107.7180 × 5
2013 Mar 3i107.7180 × 3
2013 Mar 4u108.0600 × 3
2013 May 17g132.7120 × 5
2013 May 17i132.7120 × 5
2013 Dec 10u201.7600 × 4
2013 Dec 10g201.7360 × 3
2013 Dec 10i201.7180 × 5
2014 May 19g255.0120 × 5
Q 2343+125 (mini-BAL QSO)2012 Aug 25g0120 × 1, 180 × 1, 240 × 1
2012 Sep 8g4.0120 × 5
2012 Oct 21g16.2120 × 5
2012 Oct 21i0120 × 5
2012 Nov 16g23.6120 × 4
2012 Nov 16i7.4120 × 5
2013 Sep 27g113.2120 × 4, 240 × 1
2013 Sep 27i97.0120 × 5
2013 Sep 28u0300 × 5
2014 Sep 2g209.9120 × 1, 180 × 4
2014 Oct 16u109.0300 × 1, 360 × 4
2014 Oct 16g222.5120 × 5
2014 Oct 16i206.2120 × 4
UM 675 (mini-BAL QSO)2012 Aug 26g0300 × 2
2012 Sep 8g4.1120 × 5
2012 Oct 21g17.8120 × 5
2012 Oct 21i0120 × 5
2012 Nov 17g26.0120 × 4
2012 Nov 18i8.9120 × 5
2013 Sep 27g126.0180 × 1, 240 × 3
2013 Sep 28u0420 × 5
2013 Sep 28i108.6120 × 5
2014 Sep 2g234.0180 × 3
2014 Oct 16u121.6300 × 2
2014 Oct 16i230.2120 × 4
Q 0450−1310 (NAL QSO)2012 Sep 9g060 × 2, 120 × 3
2012 Oct 20g12.460 × 3, 120 × 2
2012 Oct 20i0120 × 5
2012 Nov 17g20.9180 × 3
2012 Nov 18i8.860 × 5
2013 Feb 6g45.4180 × 2, 240 × 1
2013 Sep 27g116.0120 × 5
2013 Sep 27i103.660 × 5
2013 Dec 10g138.5240 × 5
2013 Dec 10i126.160 × 5
Q 0940−1050 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14i060 × 5
2012 May 11g060 × 5
2012 May 12i6.960 × 5
2012 May 13u7.1300 × 3
2012 Nov 17g46.6300 × 4, 240 × 1
2013 Jan 15g61.0180 × 5
2013 Feb 6g66.4180 × 5
2013 Mar 3g72.5120 × 5
2013 Mar 4u79.4600 × 2
2013 May 17g90.960 × 5
2013 Dec 10g142.0180 × 5
2013 Dec 10i148.3120 × 5
Q 1009+2956 (NAL QSO)2012 Apr 14u0300 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 4
2012 May 11u8.0300 × 5
2012 May 11g7.460 × 5
2012 May 12i7.760 × 5
2012 Nov 18g59.8180 × 1, 300 × 4
2012 Nov 18i59.8120 × 5
2013 Jan 15g75.7180 × 6
2013 Feb 6g81.860 × 4, 180 × 1
2013 Feb 7i82.0300 × 5
2013 Mar 3g88.660 × 4, 120 × 1
2013 Mar 3i88.660 × 4, 120 × 1
2013 Mar 4u88.9300 × 3
2013 May 17g109.260 × 5
2013 Dec 10u166.0300 × 5
2013 Dec 10g166.0120 × 5
2013 Dec 10i166.060 × 5
2014 May 19g209.960 × 5
Q 1700+6416 (NAL QSO)2012 Apr 14u0180 × 5
2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g7.260 × 5
2012 May 12i7.560 × 5
2012 May 13u7.8300 × 5
2012 Aug 25g35.7120 × 1, 240 × 1, 300 × 1
2012 Aug 25i35.7300 × 3
2012 Sep 9g39.8180 × 2, 300 × 1
2012 Oct 19g50.560 × 5
2012 Oct 20i50.860 × 5
2012 Oct 21u51.0300 × 5
2013 Jan 15g74.2180 × 5
2013 Feb 6g80.160 × 5
2013 Mar 3g86.5180 × 5
2013 Mar 4u87.0300 × 5
2013 May 17g106.960 × 5
2013 May 17i106.960 × 5
2013 May 18u107.2300 × 1, 480 × 1, 600 × 2
2013 Sep 27g142.7120 × 5
2013 Sep 27i142.760 × 4
2013 Sep 28u142.9300 × 5
2014 May 19g205.560 × 5
2014 Sep 2g234.0120 × 5
2014 Oct 16u238.0300 × 5
2014 Oct 16g245.860 × 4, 120 × 1
2014 Oct 16i245.060 × 1, 120 × 3
Q 1946+7658 (NAL QSO)2012 Apr 14g060 × 5
2012 Apr 14i060 × 5
2012 May 11g6.760 × 5
2012 May 11i6.760 × 5
2012 Aug 24g32.6300 × 3
2012 Aug 25i32.8120 × 1, 300 × 2
2012 Sep 8g36.360 × 2, 120 × 3
2012 Oct 19g46.460 × 6
2012 Oct 20i46.660 × 5
2013 Nov 18g53.8120 × 5
2012 Nov 18i53.8120 × 5
2013 Feb 6g73.660 × 1, 300 × 2
2013 Mar 3g79.760 × 5
2013 May 17g98.260 × 5
2013 May 17i98.260 × 5
2013 Sep 27g124.4120 × 1, 180 × 2, 240 × 1
2013 Sep 28i131.360 × 5
2014 May 19g188.860 × 5
2014 Sep 2g215.060 × 1, 120 × 4

*Time delay from the first observation in the quasar rest frame. Zero denotes the first epoch.

Total exposure time for usable image, which is altered according to the weather.

Table 3.

Spectroscopic observation log of HS 1603+3820.

Observing epochObs. datet  EXP*
(d)(s)
12012 Sep 191200 × 2
22014 May 301200 × 8
32015 Feb 231200 × 3
42015 May 211200 × 3
Observing epochObs. datet  EXP*
(d)(s)
12012 Sep 191200 × 2
22014 May 301200 × 8
32015 Feb 231200 × 3
42015 May 211200 × 3

*Total exposure time for usable image.

Table 3.

Spectroscopic observation log of HS 1603+3820.

Observing epochObs. datet  EXP*
(d)(s)
12012 Sep 191200 × 2
22014 May 301200 × 8
32015 Feb 231200 × 3
42015 May 211200 × 3
Observing epochObs. datet  EXP*
(d)(s)
12012 Sep 191200 × 2
22014 May 301200 × 8
32015 Feb 231200 × 3
42015 May 211200 × 3

*Total exposure time for usable image.

Table 4.

Detailed variability properties of the light curves of mini-BAL and NAL quasars.

QuasarTypeN*σm〈|Δm|〉mmax|§〈|Δmtrest|〉mtrest|max
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
SDSS u band
HS 1603+3820mini-BAL QSO70.0680.104 ± 0.0150.229 ± 0.0350.387 ±  0.0401.116 ± 0.204
Q 1157+014mini-BAL QSO40.0840.086 ± 0.033††0.189 ± 0.0450.285 ± 0.0700.676 ± 0.196
Q 2343+125mini-BAL QSO2–**–**0.054 ± 0.020††–**0.181 ± 0.068††
UM 675mini-BAL QSO2–**–**0.101 ± 0.040††–**0.304 ± 0.119††
Q 0940−1050NAL QSO30.0800.138 ± 0.0420.236 ± 0.098††0.634 ± 0.4021.191 ± 0.496††
Q 1009+2956NAL QSO40.0230.041 ± 0.0080.056 ± 0.0160.116 ± 0.0280.123 ± 0.035
Q 1700+6416NAL QSO70.0760.128 ± 0.0170.302 ± 0.0190.326 ± 0.0633.546 ± 0.831
SDSS g band
HS 1603+3820mini-BAL QSO100.0490.069 ± 0.0070.193 ± 0.0090.229  ± 0.0212.909 ± 0.451
Q 1157+014mini-BAL QSO80.0300.040 ± 0.0050.094 ± 0.0100.109 ± 0.0201.549 ± 0.358
Q 2343+125mini-BAL QSO70.0200.023 ± 0.0040.067 ± 0.0010.042 ± 0.0144.634 ± 0.058
UM 675mini-BAL QSO60.0830.110 ± 0.0210.220 ± 0.0170.334 ± 0.0410.691 ± 0.045
Q 0450−1310NAL QSO60.0470.070 ± 0.0120.158 ± 0.0100.301 ± 0.0562.568 ± 0.169
Q 0940−1050NAL QSO70.0280.046 ± 0.0060.115 ± 0.0120.304 ± 0.0230.929 ± 0.196
Q 1009+2956NAL QSO90.0140.015 ± 0.0020.054 ± 0.0110.052 ± 0.0090.303 ±0.080
Q 1700+6416NAL QSO130.0440.069 ± 0.0050.170 ± 0.0160.193 ± 0.0199.248 ± 1.545
Q 1946+7658NAL QSO120.0520.076 ± 0.0070.237 ± 0.0170.249 ± 0.03316.900 ± 1.778
SDSS i band
HS 1603+3820mini-BAL QSO50.0240.012 ± 0.005††0.053 ± 0.0160.033 ± 0.020††0.630 ± 0.208
Q 1157+014mini-BAL QSO50.0650.065 ± 0.0130.138 ± 0.0210.145 ± 0.050††5.027 ± 0.4887
Q 2343+125mini-BAL QSO20.0240.044 ± 0.0090.081 ± 0.0110.117 ± 0.040††0.238 ± 0.032
UM 675mini-BAL QSO40.0660.102 ± 0.0270.163 ± 0.0170.273 ± 0.0430.456 ± 0.058
Q 0450−1310NAL QSO40.0100.020 ± 0.0040.035 ± 0.0050.086 ± 0.0090.090 ± 0.019
Q 0940−1050NAL QSO30.0520.083 ± 0.0250.105 ± 0.0070.254 ± 0.0110.260 ± 0.017
Q 1009+2956NAL QSO60.0080.014 ± 0.0020.028 ± 0.0070.049 ± 0.0130.174 ± 0.046
Q 1700+6416NAL QSO70.0240.042 ± 0.0050.092 ± 0.0070.119 ± 0.0181.934 ± 0.392
Q 1946+7658NAL QSO70.0140.020 ± 0.0030.051 ± 0.0140.094 ± 0.0200.674 ± 0.220
QuasarTypeN*σm〈|Δm|〉mmax|§〈|Δmtrest|〉mtrest|max
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
SDSS u band
HS 1603+3820mini-BAL QSO70.0680.104 ± 0.0150.229 ± 0.0350.387 ±  0.0401.116 ± 0.204
Q 1157+014mini-BAL QSO40.0840.086 ± 0.033††0.189 ± 0.0450.285 ± 0.0700.676 ± 0.196
Q 2343+125mini-BAL QSO2–**–**0.054 ± 0.020††–**0.181 ± 0.068††
UM 675mini-BAL QSO2–**–**0.101 ± 0.040††–**0.304 ± 0.119††
Q 0940−1050NAL QSO30.0800.138 ± 0.0420.236 ± 0.098††0.634 ± 0.4021.191 ± 0.496††
Q 1009+2956NAL QSO40.0230.041 ± 0.0080.056 ± 0.0160.116 ± 0.0280.123 ± 0.035
Q 1700+6416NAL QSO70.0760.128 ± 0.0170.302 ± 0.0190.326 ± 0.0633.546 ± 0.831
SDSS g band
HS 1603+3820mini-BAL QSO100.0490.069 ± 0.0070.193 ± 0.0090.229  ± 0.0212.909 ± 0.451
Q 1157+014mini-BAL QSO80.0300.040 ± 0.0050.094 ± 0.0100.109 ± 0.0201.549 ± 0.358
Q 2343+125mini-BAL QSO70.0200.023 ± 0.0040.067 ± 0.0010.042 ± 0.0144.634 ± 0.058
UM 675mini-BAL QSO60.0830.110 ± 0.0210.220 ± 0.0170.334 ± 0.0410.691 ± 0.045
Q 0450−1310NAL QSO60.0470.070 ± 0.0120.158 ± 0.0100.301 ± 0.0562.568 ± 0.169
Q 0940−1050NAL QSO70.0280.046 ± 0.0060.115 ± 0.0120.304 ± 0.0230.929 ± 0.196
Q 1009+2956NAL QSO90.0140.015 ± 0.0020.054 ± 0.0110.052 ± 0.0090.303 ±0.080
Q 1700+6416NAL QSO130.0440.069 ± 0.0050.170 ± 0.0160.193 ± 0.0199.248 ± 1.545
Q 1946+7658NAL QSO120.0520.076 ± 0.0070.237 ± 0.0170.249 ± 0.03316.900 ± 1.778
SDSS i band
HS 1603+3820mini-BAL QSO50.0240.012 ± 0.005††0.053 ± 0.0160.033 ± 0.020††0.630 ± 0.208
Q 1157+014mini-BAL QSO50.0650.065 ± 0.0130.138 ± 0.0210.145 ± 0.050††5.027 ± 0.4887
Q 2343+125mini-BAL QSO20.0240.044 ± 0.0090.081 ± 0.0110.117 ± 0.040††0.238 ± 0.032
UM 675mini-BAL QSO40.0660.102 ± 0.0270.163 ± 0.0170.273 ± 0.0430.456 ± 0.058
Q 0450−1310NAL QSO40.0100.020 ± 0.0040.035 ± 0.0050.086 ± 0.0090.090 ± 0.019
Q 0940−1050NAL QSO30.0520.083 ± 0.0250.105 ± 0.0070.254 ± 0.0110.260 ± 0.017
Q 1009+2956NAL QSO60.0080.014 ± 0.0020.028 ± 0.0070.049 ± 0.0130.174 ± 0.046
Q 1700+6416NAL QSO70.0240.042 ± 0.0050.092 ± 0.0070.119 ± 0.0181.934 ± 0.392
Q 1946+7658NAL QSO70.0140.020 ± 0.0030.051 ± 0.0140.094 ± 0.0200.674 ± 0.220

*Number of observing epochs.

Standard deviation of magnitude of mini-BAL and NAL quasars.

Mean quasar variability.

§Maximum quasar variability.

Mean quasar variability gradient in the quasar rest frame.

Maximum quasar variability gradient in the quasar rest frame.

**Cannot be calculated because our sample was limited to two epochs.

††Confidence level of quasar variability is below than 3 σ.

Table 4.

Detailed variability properties of the light curves of mini-BAL and NAL quasars.

QuasarTypeN*σm〈|Δm|〉mmax|§〈|Δmtrest|〉mtrest|max
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
SDSS u band
HS 1603+3820mini-BAL QSO70.0680.104 ± 0.0150.229 ± 0.0350.387 ±  0.0401.116 ± 0.204
Q 1157+014mini-BAL QSO40.0840.086 ± 0.033††0.189 ± 0.0450.285 ± 0.0700.676 ± 0.196
Q 2343+125mini-BAL QSO2–**–**0.054 ± 0.020††–**0.181 ± 0.068††
UM 675mini-BAL QSO2–**–**0.101 ± 0.040††–**0.304 ± 0.119††
Q 0940−1050NAL QSO30.0800.138 ± 0.0420.236 ± 0.098††0.634 ± 0.4021.191 ± 0.496††
Q 1009+2956NAL QSO40.0230.041 ± 0.0080.056 ± 0.0160.116 ± 0.0280.123 ± 0.035
Q 1700+6416NAL QSO70.0760.128 ± 0.0170.302 ± 0.0190.326 ± 0.0633.546 ± 0.831
SDSS g band
HS 1603+3820mini-BAL QSO100.0490.069 ± 0.0070.193 ± 0.0090.229  ± 0.0212.909 ± 0.451
Q 1157+014mini-BAL QSO80.0300.040 ± 0.0050.094 ± 0.0100.109 ± 0.0201.549 ± 0.358
Q 2343+125mini-BAL QSO70.0200.023 ± 0.0040.067 ± 0.0010.042 ± 0.0144.634 ± 0.058
UM 675mini-BAL QSO60.0830.110 ± 0.0210.220 ± 0.0170.334 ± 0.0410.691 ± 0.045
Q 0450−1310NAL QSO60.0470.070 ± 0.0120.158 ± 0.0100.301 ± 0.0562.568 ± 0.169
Q 0940−1050NAL QSO70.0280.046 ± 0.0060.115 ± 0.0120.304 ± 0.0230.929 ± 0.196
Q 1009+2956NAL QSO90.0140.015 ± 0.0020.054 ± 0.0110.052 ± 0.0090.303 ±0.080
Q 1700+6416NAL QSO130.0440.069 ± 0.0050.170 ± 0.0160.193 ± 0.0199.248 ± 1.545
Q 1946+7658NAL QSO120.0520.076 ± 0.0070.237 ± 0.0170.249 ± 0.03316.900 ± 1.778
SDSS i band
HS 1603+3820mini-BAL QSO50.0240.012 ± 0.005††0.053 ± 0.0160.033 ± 0.020††0.630 ± 0.208
Q 1157+014mini-BAL QSO50.0650.065 ± 0.0130.138 ± 0.0210.145 ± 0.050††5.027 ± 0.4887
Q 2343+125mini-BAL QSO20.0240.044 ± 0.0090.081 ± 0.0110.117 ± 0.040††0.238 ± 0.032
UM 675mini-BAL QSO40.0660.102 ± 0.0270.163 ± 0.0170.273 ± 0.0430.456 ± 0.058
Q 0450−1310NAL QSO40.0100.020 ± 0.0040.035 ± 0.0050.086 ± 0.0090.090 ± 0.019
Q 0940−1050NAL QSO30.0520.083 ± 0.0250.105 ± 0.0070.254 ± 0.0110.260 ± 0.017
Q 1009+2956NAL QSO60.0080.014 ± 0.0020.028 ± 0.0070.049 ± 0.0130.174 ± 0.046
Q 1700+6416NAL QSO70.0240.042 ± 0.0050.092 ± 0.0070.119 ± 0.0181.934 ± 0.392
Q 1946+7658NAL QSO70.0140.020 ± 0.0030.051 ± 0.0140.094 ± 0.0200.674 ± 0.220
QuasarTypeN*σm〈|Δm|〉mmax|§〈|Δmtrest|〉mtrest|max
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
SDSS u band
HS 1603+3820mini-BAL QSO70.0680.104 ± 0.0150.229 ± 0.0350.387 ±  0.0401.116 ± 0.204
Q 1157+014mini-BAL QSO40.0840.086 ± 0.033††0.189 ± 0.0450.285 ± 0.0700.676 ± 0.196
Q 2343+125mini-BAL QSO2–**–**0.054 ± 0.020††–**0.181 ± 0.068††
UM 675mini-BAL QSO2–**–**0.101 ± 0.040††–**0.304 ± 0.119††
Q 0940−1050NAL QSO30.0800.138 ± 0.0420.236 ± 0.098††0.634 ± 0.4021.191 ± 0.496††
Q 1009+2956NAL QSO40.0230.041 ± 0.0080.056 ± 0.0160.116 ± 0.0280.123 ± 0.035
Q 1700+6416NAL QSO70.0760.128 ± 0.0170.302 ± 0.0190.326 ± 0.0633.546 ± 0.831
SDSS g band
HS 1603+3820mini-BAL QSO100.0490.069 ± 0.0070.193 ± 0.0090.229  ± 0.0212.909 ± 0.451
Q 1157+014mini-BAL QSO80.0300.040 ± 0.0050.094 ± 0.0100.109 ± 0.0201.549 ± 0.358
Q 2343+125mini-BAL QSO70.0200.023 ± 0.0040.067 ± 0.0010.042 ± 0.0144.634 ± 0.058
UM 675mini-BAL QSO60.0830.110 ± 0.0210.220 ± 0.0170.334 ± 0.0410.691 ± 0.045
Q 0450−1310NAL QSO60.0470.070 ± 0.0120.158 ± 0.0100.301 ± 0.0562.568 ± 0.169
Q 0940−1050NAL QSO70.0280.046 ± 0.0060.115 ± 0.0120.304 ± 0.0230.929 ± 0.196
Q 1009+2956NAL QSO90.0140.015 ± 0.0020.054 ± 0.0110.052 ± 0.0090.303 ±0.080
Q 1700+6416NAL QSO130.0440.069 ± 0.0050.170 ± 0.0160.193 ± 0.0199.248 ± 1.545
Q 1946+7658NAL QSO120.0520.076 ± 0.0070.237 ± 0.0170.249 ± 0.03316.900 ± 1.778
SDSS i band
HS 1603+3820mini-BAL QSO50.0240.012 ± 0.005††0.053 ± 0.0160.033 ± 0.020††0.630 ± 0.208
Q 1157+014mini-BAL QSO50.0650.065 ± 0.0130.138 ± 0.0210.145 ± 0.050††5.027 ± 0.4887
Q 2343+125mini-BAL QSO20.0240.044 ± 0.0090.081 ± 0.0110.117 ± 0.040††0.238 ± 0.032
UM 675mini-BAL QSO40.0660.102 ± 0.0270.163 ± 0.0170.273 ± 0.0430.456 ± 0.058
Q 0450−1310NAL QSO40.0100.020 ± 0.0040.035 ± 0.0050.086 ± 0.0090.090 ± 0.019
Q 0940−1050NAL QSO30.0520.083 ± 0.0250.105 ± 0.0070.254 ± 0.0110.260 ± 0.017
Q 1009+2956NAL QSO60.0080.014 ± 0.0020.028 ± 0.0070.049 ± 0.0130.174 ± 0.046
Q 1700+6416NAL QSO70.0240.042 ± 0.0050.092 ± 0.0070.119 ± 0.0181.934 ± 0.392
Q 1946+7658NAL QSO70.0140.020 ± 0.0030.051 ± 0.0140.094 ± 0.0200.674 ± 0.220

*Number of observing epochs.

Standard deviation of magnitude of mini-BAL and NAL quasars.

Mean quasar variability.

§Maximum quasar variability.

Mean quasar variability gradient in the quasar rest frame.

Maximum quasar variability gradient in the quasar rest frame.

**Cannot be calculated because our sample was limited to two epochs.

††Confidence level of quasar variability is below than 3 σ.

Table 5.

Observed frame equivalent width of C iv mini-BAL in the HS 1603+3820 spectrum.

Observingv  shiftΔtrest|${\rm EW}_{\rm C\,{\small {I}v}} {}^{\ddagger}$|Detection
epoch*(km s−1)(Å)significance
1∼9500011.3 ± 3.13.6 σ
2180.214.2 ± 1.87.8 σ
3258.617.3 ± 2.86.2 σ
4284.013.2 ± 2.35.6 σ
Observingv  shiftΔtrest|${\rm EW}_{\rm C\,{\small {I}v}} {}^{\ddagger}$|Detection
epoch*(km s−1)(Å)significance
1∼9500011.3 ± 3.13.6 σ
2180.214.2 ± 1.87.8 σ
3258.617.3 ± 2.86.2 σ
4284.013.2 ± 2.35.6 σ

*Defined as in table 3.

Time delay from the first observation in the absorber rest frame. Zero denotes the first observation epoch.

Equivalent width of C iv mini-BAL in the observed frame.

Table 5.

Observed frame equivalent width of C iv mini-BAL in the HS 1603+3820 spectrum.

Observingv  shiftΔtrest|${\rm EW}_{\rm C\,{\small {I}v}} {}^{\ddagger}$|Detection
epoch*(km s−1)(Å)significance
1∼9500011.3 ± 3.13.6 σ
2180.214.2 ± 1.87.8 σ
3258.617.3 ± 2.86.2 σ
4284.013.2 ± 2.35.6 σ
Observingv  shiftΔtrest|${\rm EW}_{\rm C\,{\small {I}v}} {}^{\ddagger}$|Detection
epoch*(km s−1)(Å)significance
1∼9500011.3 ± 3.13.6 σ
2180.214.2 ± 1.87.8 σ
3258.617.3 ± 2.86.2 σ
4284.013.2 ± 2.35.6 σ

*Defined as in table 3.

Time delay from the first observation in the absorber rest frame. Zero denotes the first observation epoch.

Equivalent width of C iv mini-BAL in the observed frame.

The quasar parameters of our targets were compared with those of ∼170000 quasars at zem ∼ 2.0–3.1 from the SDSS Data Release 7 (SDSS DR7; see figure 1). Our quasars demonstrate extremely large luminosity with a mean 〈Lbol〉 = 2.29 × 1048 erg s−1. Eight of our quasars qualify as super Eddington with a mean Eddington ratio of 〈ε〉 = 3.02, although their black hole masses are comparable to those of the SDSS quasars in the same redshift range. The mean quasar luminosity and Eddington ratio of SDSS DR7 (cataloged by Shen et al. 2011) are 5.13 × 1046 erg s−1 and 0.41 respectively.

Distributions of (a) bolometric luminosity, (b) virial black hole mass, and (c) Eddington ratio for our quasars (indicated by downward arrows) and ∼17000 SDSS quasars at 2.0 ≤ z < 3.1 (Shen et al. 2011: histograms). Exact values of these parameters for our nine quasars are presented in table 1. (Color online)
Fig. 1.

Distributions of (a) bolometric luminosity, (b) virial black hole mass, and (c) Eddington ratio for our quasars (indicated by downward arrows) and ∼17000 SDSS quasars at 2.0 ≤ z < 3.1 (Shen et al. 2011: histograms). Exact values of these parameters for our nine quasars are presented in table 1. (Color online)

The radio loudness R = fν(5 GHz)/fν(4400 Å) was also collected from the literature or calculated from FIRST radio measurements. Two quasars (Q 1157+014 and UM 675) are classifiable as radio loud (R > 10; Kellermann et al. 1989), while the other seven quasars are radio quiet.

2.5 Spectroscopic observation for HS 1603+3820

We also performed spectroscopic monitoring observations of a single mini-BAL quasar (HS 1603+3820) using the 188 cm Okayama Telescope with a Kyoto Okayama Optical Low-dispersion Spectrograph (KOOLS: Yoshida 2005). For these observations, we selected a VPH495 prism, which is sensitive to 4500–5400 Å and a 1|${^{\prime\prime}_{.}}$|8 slit (yielding R ∼1100). The CCD was binned every 2 × 2 pixels.

Observations were performed from 2012 September 19 to 2015 May 21 over typical monitoring intervals of three months. Useful data were acquired on 2012 September 19, 2015 May 30, 2015 February 23, and 2015 May 21 (hereafter, these four periods are referred to as epochs 1, 2, 3, and 4). The observing log is listed in table 3.

3 Results

This section presents the photometric variability results of each quasar determined from light curves. The quasar variability properties of the mini-BAL and NAL quasars are then compared by SFs and color variability analysis. The results are summarized in figures 2 and 3 and in table 4.

Light curves of four mini-BAL quasars [(a) HS 1603+3820, (b) Q 1157+014, (c) Q 2343+125, and (d) UM 675], monitored in the u (open squares), g (filled squares), and i bands (open circles). The horizontal axis denotes the observing date (year-month) and the vertical axis Δm is the magnitude difference from the first observation. The Δm first observing epoch is zero by definition.
Fig. 2.

Light curves of four mini-BAL quasars [(a) HS 1603+3820, (b) Q 1157+014, (c) Q 2343+125, and (d) UM 675], monitored in the u (open squares), g (filled squares), and i bands (open circles). The horizontal axis denotes the observing date (year-month) and the vertical axis Δm is the magnitude difference from the first observation. The Δm first observing epoch is zero by definition.

Identical to figure 2, but plotted for the five NAL quasars, (a) Q 0450−1310, (b) Q 0940−1050, (c) Q 1009+2956, (d) Q 1700+6416, and (e) Q 1956+7658.
Fig. 3.

Identical to figure 2, but plotted for the five NAL quasars, (a) Q 0450−1310, (b) Q 0940−1050, (c) Q 1009+2956, (d) Q 1700+6416, and (e) Q 1956+7658.

3.1 Quasar variability

To examine the quasar variability of the nine mini-BAL/NAL quasars, we measured the standard deviation in the magnitude σm, the mean quasar variability 〈|Δm|〉, the maximum magnitude variability |Δm|max, the mean quasar variability gradient 〈|Δmtrest|〉, and the maximum quasar variability gradient |Δmtrest|max, following Borgeest and Schramm (1994) and G99. The mean values were calculated from all combinations of the observing epochs (e.g., from NC2 combinations, where N is the number of observing epochs). The quasar variability gradient was defined as the quasar variability per unit time (year). These parameters are summarized in table 4. The maximum quasar variability and its gradient are listed even if their significance level is below 3 σ.

The most remarkable trend is the larger quasar variabilities in bluer bands than those in redder bands. This well-known property of quasars is repeatedly discussed in the literature (e.g., Cristiani et al. 1997; VB04; Zuo et al. 2012; Guo & Gu 2014). The largest quasar variabilities were exhibited by HS 1603+3820 among the mini-BAL quasars (|Δumax| ∼ 0.23) and by Q 1700+6416 among the NAL quasars (|Δumax| ∼ 0.30), while the largest variability gradients were exhibited by Q 1157+014 among the mini-BAL quasars (|Δitrest|max ∼ 5.0) and by Q 1946+7658 among the NAL quasars (|Δgtrest|max∼ 16.9).

3.2 Notes on individual quasars

3.2.1 HS 1603+3820 (mini-BAL, zem = 2.542, mV = 15.9)

This quasar exhibited a violently variable mini-BAL profile with an ejection velocity v ∼ 9500 km s−1 (Misawa et al. 2007b). Among the mini-BAL quasars in the present study, this quasar showed the largest variability in the u band (|Δu| ∼ 0.23 mag) and the second largest variability in the g band (|Δg| ∼ 0.19 mag) among our mini-BAL quasars. On the other hand, the mean and maximum quasar variability of HS 1603+3820 were surprisingly small in the i band (only ∼0.01 and ∼0.05 mag, respectively). For this quasar alone, we supplemented the photometric observations with spectroscopic observations. The C iv mini-BALs in this quasar obtained in each epoch are summarized in figure 4, and we measured the EW of the C iv mini-BAL and monitored its variability. The results are summarized in figure 5 and table 5. The EW marginally varied between epochs 1 and 3 with absorption variability amplitude ΔEW = 6.0 ± 4.2 Å (significance level ∼1.5 σ).

Normalized spectra of HS 1603+3820 around the C iv mini-BAL in the observed frame taken with the 188 cm Okayama Telescope. Black, magenta, cyan, and green histograms denote spectra taken on 2012 September 19 (epoch 1), 2014 May 30 (epoch 2), 2015 February 23 (epoch 3), and 2015 May 21 (epoch 4), respectively. C iv mini-BALs in (a) epoch 2, (b) epoch 3, and (c) epoch 4 are compared to the C iv mini-BAL in epoch 1. Horizontal dotted lines represent the normalized continuum levels. (Color online)
Fig. 4.

Normalized spectra of HS 1603+3820 around the C iv mini-BAL in the observed frame taken with the 188 cm Okayama Telescope. Black, magenta, cyan, and green histograms denote spectra taken on 2012 September 19 (epoch 1), 2014 May 30 (epoch 2), 2015 February 23 (epoch 3), and 2015 May 21 (epoch 4), respectively. C iv mini-BALs in (a) epoch 2, (b) epoch 3, and (c) epoch 4 are compared to the C iv mini-BAL in epoch 1. Horizontal dotted lines represent the normalized continuum levels. (Color online)

(a) Light curves of SDSS u, g, and i bands (symbols are those of figures 2 and 3); (b) the EW variability of the C iv mini-BAL in HS 1603+3820. To clearly compare the light curves with the EW variability trend, we invert the vertical axis of figure 2 in this figure.
Fig. 5.

(a) Light curves of SDSS u, g, and i bands (symbols are those of figures 2 and 3); (b) the EW variability of the C iv mini-BAL in HS 1603+3820. To clearly compare the light curves with the EW variability trend, we invert the vertical axis of figure 2 in this figure.

3.2.2 Q 1157+014 (mini-BAL, zem = 2.00, mV = 17.6)

This radio-loud quasar (R = 471) was the faintest among our sample quasars. At the start of our monitoring campaign, Q 1157+014 showed a rapid quasar variability in the i band with an amplitude |Δi| ∼ 0.14 mag, much larger than those of the u and g bands, between the first (2012 April) and second (2012 May) epochs. Thereafter, the magnitude variability remained high in the u band and reduced in the i band.

3.2.3 Q 2343+125 (mini-BAL, zem = 2.515, mV = 17.0)

This quasar exhibited the largest Eddington ratio ε among our mini-BAL quasars (ε ∼ 4.90) and the smallest mean quasar variability in the g band (〈|Δg|〉 ∼ 0.02). The quasar variability was only slightly larger in the i band than in the g band. Although Q 2343+125 was observed only twice in the u band, precluding an evaluation of its variability trend in that band, it appears that the quasar variability trends were consistent in all three bands.

3.2.4 UM 675 (mini-BAL, zem = 2.15, mV = 17.1)

This radio-loud quasar (R = 438) has a sub-Eddington luminosity (ε = 0.91) and exhibited the largest variability in the g and i bands among the mini-BAL quasars (|Δg| and |Δi| are ∼ 0.22 and 0.16 mag, respectively). Similar to Q 2343+125, detailed trends in the u band were precluded by the limited number of monitoring epochs.

3.2.5 Q 0450−1310 (NAL, zem = 2.30, mV = 16.5)

The magnitude of this quasar suddenly changed (|Δg| ∼ 0.16 mag) in the g band during the last three months of observations (from 2013 September to 2013 December). The Δm in the g and i bands largely differed from the third to the fifth observing epochs, possibly because there were few observing epochs in the i band.

3.2.6 Q 0940−1050 (NAL, zem = 3.080, mV = 16.6)

The g- and i-band fluxes monotonically decreased during the monitoring campaign. The quasar variability amplitudes of all the bands were almost identical. In this case, the variable trend in the u band was obscured by the large photometric error, especially in the second epoch. These errors were introduced by bad weather.

3.2.7 Q 1009+2956 (NAL, zem = 2.644, mV = 16.0)

Among our samples, this NAL quasar has the largest Eddington ratio (ε = 7.21) and the smallest variability level in all bands (|Δm| ≤ 0.06 mag).

3.2.8 Q 1700+6416 (NAL, zem = 2.722, mV = 16.13)

The bolometric luminosity and black hole mass of this quasar were the largest among our samples. Q 1700+6416 also exhibited the largest u-band variability (|Δu| ∼ 0.3 mag) among our samples.

3.2.9 Q 1946+7658 (NAL, zem = 3.051, mV = 15.85)

This quasar exhibited a cyclic quasar variability pattern with the highest half-year variability of the g-band magnitude in the quasar rest frame (|Δg| ∼ 0.24 mag). Conversely, the i-band magnitude was very stable over the same observation term.

3.3 Structure function analysis

We now examine the effects of timescale and wavelength on the quasar variability properties. These relationships are usually determined through SF analysis. For this purpose, we adopt the structure function proposed by di Clemente et al. (1996),
(4)
where |Δm(Δτ)| and |$\sigma _{n} = \sqrt{\sigma _{m_i}^2+ \sigma _{m_j}^2}$| are the magnitude variability and its photometric error, respectively, between two observing epochs separated by Δτ = tjti in the quasar's rest frame. The bracket denotes the averaged value in paired observing epochs with time lags within a specific range (after separation into four bins). Note that the wavelength coverage of the u, g, and i bands in the rest frame depends on the quasar redshift (see figure 6). However, because the distribution of the emission redshift was ∼2.5 in two-thirds of our samples (six out of nine quasars), we can investigate the wavelength dependence of the SF. Detailed trends are investigated later in this subsection.
Regions of rest-frame wavelength covered by SDSS u (violet), g (green), and i (red) bands for each quasar. The solid and dotted lines represent the wavelength coverage of mini-BAL and NAL quasars, respectively. The quasars covering each wavelength range are labeled 1–9. (Color online)
Fig. 6.

Regions of rest-frame wavelength covered by SDSS u (violet), g (green), and i (red) bands for each quasar. The solid and dotted lines represent the wavelength coverage of mini-BAL and NAL quasars, respectively. The quasars covering each wavelength range are labeled 1–9. (Color online)

Figure 7 plots the SF as a function of time lag in the rest frame for the u, g, and i bands. In all bands, the quasar variability increases with the time lag Δτ. Because the observing epochs were fewer in the u and i bands than in the g band, they introduce larger errors in the SF. The SF is often fitted to a power law (Hook et al. 1994; Enya et al. 2002; VB04; W08):
(5)
where γ is the power-law index and the timescale Δτp is defined such that Sp(Δτp) equals 1 mag. The fitting parameters to this model are summarized in table 6. Note that because Δτp has an extremely large uncertainty, especially for small samples such as ours (see W08), we replace it by Sp(Δτ = 100 d). The SFs were also fitted to the following asymptotic function (e.g., Trévese et al. 1994; Hook et al. 1994; Enya et al. 2002):
(6)
where Va is the asymptotic value at Δτ = ∞. Table 6 lists the best-fit parameters to this function, along with those of W08 and VB04.3 In all cases, the quasar variability is higher at bluer than at redder wavelengths.
Structure functions of (a) u band, (b) g band, and (c) i band of mini-BAL (filled circles) and NAL (open circles) quasars, plotted on a log–log scale. The statistical error in the SF includes the error propagation. Horizontal error bars indicate the variances from the mean time intervals in each bin. In panels (a), (b), and (c), the quasar variabilities of mini-BAL (black dots) and NAL (gray dots) quasars are plotted for all combinations of the observing epochs. The SFs of the mini-BAL (black lines) and NAL (magenta lines) quasars are fitted by a power law (solid line) and an asymptotic function (dotted line), respectively. (d) The SFs of all subsamples including mini-BAL and NAL quasars in the u band (violet), g band (green) and i band (red) are also fitted to power-law and asymptotic functions. The quasar variabilities of all our quasars in the u band (violet dots), g band (green dots), and i band (red dots) are also plotted for all combinations of the observing epochs. Unsatisfactory fitting results are omitted. (Color online)
Fig. 7.

Structure functions of (a) u band, (b) g band, and (c) i band of mini-BAL (filled circles) and NAL (open circles) quasars, plotted on a log–log scale. The statistical error in the SF includes the error propagation. Horizontal error bars indicate the variances from the mean time intervals in each bin. In panels (a), (b), and (c), the quasar variabilities of mini-BAL (black dots) and NAL (gray dots) quasars are plotted for all combinations of the observing epochs. The SFs of the mini-BAL (black lines) and NAL (magenta lines) quasars are fitted by a power law (solid line) and an asymptotic function (dotted line), respectively. (d) The SFs of all subsamples including mini-BAL and NAL quasars in the u band (violet), g band (green) and i band (red) are also fitted to power-law and asymptotic functions. The quasar variabilities of all our quasars in the u band (violet dots), g band (green dots), and i band (red dots) are also plotted for all combinations of the observing epochs. Unsatisfactory fitting results are omitted. (Color online)

Table 6.

Power-law and asymptotic fitting parameters of structure functions.

QuasarsReferenceS  pS  a
γS(Δτ = 100 d)Δτa (Asymptotic)V  a
(mag)(d)(mag)
SDSS u band
mini-BAL quasarsthis work0.785 ± 0.1090.129 ± 0.037
NAL quasarsthis work0.422 ± 0.345–*12.282 ± 10.0900.139 ± 0.026
All of our quasarsthis work0.410 ± 0.1150.135 ± 0.07649.362 ± 15.2100.169 ± 0.019
SDSS 7886 quasarsW080.4350.173 ± 0.001
SDSS g band
mini-BAL quasarsthis work0.426 ± 0.0780.078 ± 0.03637.980 ± 15.6400.090 ± 0.016
NAL quasarsthis work0.210 ± 0.0710.078 ± 0.06713.537 ± 6.9810.076 ± 0.008
All of our quasarsthis work0.264 ± 0.0560.080 ± 0.04320.768 ± 7.4780.082 ± 0.008
SDSS 25710 sampleVB040.293 ±  0.03051.9±6.00.168 ± 0.005
SDSS 7886 quasarsW080.4790.147 ± 0.001
SDSS i band
mini-BAL quasarsthis work0.446 ± 0.263–*18.870 ± 9.0880.073 ± 0.008
NAL quasarsthis work0.432 ± 0.111–*–*–*
All of our quasarsthis work0.432 ± 0.121–*
SDSS 25710 sampleVB040.303 ± 0.03562.6 ± 8.30.139 ± 0.005
SDSS 7886 quasarsW080.4360.108 ± 0.001
QuasarsReferenceS  pS  a
γS(Δτ = 100 d)Δτa (Asymptotic)V  a
(mag)(d)(mag)
SDSS u band
mini-BAL quasarsthis work0.785 ± 0.1090.129 ± 0.037
NAL quasarsthis work0.422 ± 0.345–*12.282 ± 10.0900.139 ± 0.026
All of our quasarsthis work0.410 ± 0.1150.135 ± 0.07649.362 ± 15.2100.169 ± 0.019
SDSS 7886 quasarsW080.4350.173 ± 0.001
SDSS g band
mini-BAL quasarsthis work0.426 ± 0.0780.078 ± 0.03637.980 ± 15.6400.090 ± 0.016
NAL quasarsthis work0.210 ± 0.0710.078 ± 0.06713.537 ± 6.9810.076 ± 0.008
All of our quasarsthis work0.264 ± 0.0560.080 ± 0.04320.768 ± 7.4780.082 ± 0.008
SDSS 25710 sampleVB040.293 ±  0.03051.9±6.00.168 ± 0.005
SDSS 7886 quasarsW080.4790.147 ± 0.001
SDSS i band
mini-BAL quasarsthis work0.446 ± 0.263–*18.870 ± 9.0880.073 ± 0.008
NAL quasarsthis work0.432 ± 0.111–*–*–*
All of our quasarsthis work0.432 ± 0.121–*
SDSS 25710 sampleVB040.303 ± 0.03562.6 ± 8.30.139 ± 0.005
SDSS 7886 quasarsW080.4360.108 ± 0.001

*Unphysical values were obtained.

The data cannot be properly fitted by an asymptotic function.

Data in VB04 not explicitly given to two decimal places.

Table 6.

Power-law and asymptotic fitting parameters of structure functions.

QuasarsReferenceS  pS  a
γS(Δτ = 100 d)Δτa (Asymptotic)V  a
(mag)(d)(mag)
SDSS u band
mini-BAL quasarsthis work0.785 ± 0.1090.129 ± 0.037
NAL quasarsthis work0.422 ± 0.345–*12.282 ± 10.0900.139 ± 0.026
All of our quasarsthis work0.410 ± 0.1150.135 ± 0.07649.362 ± 15.2100.169 ± 0.019
SDSS 7886 quasarsW080.4350.173 ± 0.001
SDSS g band
mini-BAL quasarsthis work0.426 ± 0.0780.078 ± 0.03637.980 ± 15.6400.090 ± 0.016
NAL quasarsthis work0.210 ± 0.0710.078 ± 0.06713.537 ± 6.9810.076 ± 0.008
All of our quasarsthis work0.264 ± 0.0560.080 ± 0.04320.768 ± 7.4780.082 ± 0.008
SDSS 25710 sampleVB040.293 ±  0.03051.9±6.00.168 ± 0.005
SDSS 7886 quasarsW080.4790.147 ± 0.001
SDSS i band
mini-BAL quasarsthis work0.446 ± 0.263–*18.870 ± 9.0880.073 ± 0.008
NAL quasarsthis work0.432 ± 0.111–*–*–*
All of our quasarsthis work0.432 ± 0.121–*
SDSS 25710 sampleVB040.303 ± 0.03562.6 ± 8.30.139 ± 0.005
SDSS 7886 quasarsW080.4360.108 ± 0.001
QuasarsReferenceS  pS  a
γS(Δτ = 100 d)Δτa (Asymptotic)V  a
(mag)(d)(mag)
SDSS u band
mini-BAL quasarsthis work0.785 ± 0.1090.129 ± 0.037
NAL quasarsthis work0.422 ± 0.345–*12.282 ± 10.0900.139 ± 0.026
All of our quasarsthis work0.410 ± 0.1150.135 ± 0.07649.362 ± 15.2100.169 ± 0.019
SDSS 7886 quasarsW080.4350.173 ± 0.001
SDSS g band
mini-BAL quasarsthis work0.426 ± 0.0780.078 ± 0.03637.980 ± 15.6400.090 ± 0.016
NAL quasarsthis work0.210 ± 0.0710.078 ± 0.06713.537 ± 6.9810.076 ± 0.008
All of our quasarsthis work0.264 ± 0.0560.080 ± 0.04320.768 ± 7.4780.082 ± 0.008
SDSS 25710 sampleVB040.293 ±  0.03051.9±6.00.168 ± 0.005
SDSS 7886 quasarsW080.4790.147 ± 0.001
SDSS i band
mini-BAL quasarsthis work0.446 ± 0.263–*18.870 ± 9.0880.073 ± 0.008
NAL quasarsthis work0.432 ± 0.111–*–*–*
All of our quasarsthis work0.432 ± 0.121–*
SDSS 25710 sampleVB040.303 ± 0.03562.6 ± 8.30.139 ± 0.005
SDSS 7886 quasarsW080.4360.108 ± 0.001

*Unphysical values were obtained.

The data cannot be properly fitted by an asymptotic function.

Data in VB04 not explicitly given to two decimal places.

Finally, to examine the wavelength dependence of SF, we fitted the SF to the following equation (VB04):
(7)
where A, B, and λ0 are fit parameters. First, we separated our mini-BAL and NAL samples using a boundary time lag of Δτ = 90 d4 in the rest frame, then fitted the subsamples to the above model. The fitting curves of our data and VB04's data are plotted in figure 8. The quasar variability clearly decreases with wavelength, as noted in the literature (e.g., G99; VB04; de Vries et al. 2005; Zuo et al. 2012). Moreover, the magnitudes of our SF are much lower than those of VB04's data because our mini-BAL/NAL quasars were much brighter than normal SDSS quasars in the same redshift range (figure 1). The trend of the fit reflects the anti-correlation between quasar variability and luminosity. No clear differences are observed between mini-BAL and NAL quasars.
Structure function versus rest-frame wavelength. The samples were first separated into two subsamples with longer and shorter time lags. The separation criterion was Δτ = 90 d in the rest frame. Filled and open circles (magenta: Δτ < 90, black: Δτ > 90) indicate the SFs of mini-BAL and NAL quasars, respectively. For each mini-BAL/NAL quasar, the rest-frame central wavelength denotes the average central (rest-frame) wavelengths among all bands. Horizontal error bars indicate the bandwidth of each filter. Solid black (Δτ > 90) and magenta (Δτ < 90) curves are the fitting results. The black dotted curve is fitted to the ∼25000 normal quasars from VB04 data by equation (7) (A = 0.616 ± 0.056, λ0 = 988 ± 60, B = 0.164 ± 0.003). (Color online)
Fig. 8.

Structure function versus rest-frame wavelength. The samples were first separated into two subsamples with longer and shorter time lags. The separation criterion was Δτ = 90 d in the rest frame. Filled and open circles (magenta: Δτ < 90, black: Δτ > 90) indicate the SFs of mini-BAL and NAL quasars, respectively. For each mini-BAL/NAL quasar, the rest-frame central wavelength denotes the average central (rest-frame) wavelengths among all bands. Horizontal error bars indicate the bandwidth of each filter. Solid black (Δτ > 90) and magenta (Δτ < 90) curves are the fitting results. The black dotted curve is fitted to the ∼25000 normal quasars from VB04 data by equation (7) (A = 0.616 ± 0.056, λ0 = 988 ± 60, B = 0.164 ± 0.003). (Color online)

3.4 Color variability

Color variability is among the most remarkable properties of quasars. Although our relative photometry cannot determine the true magnitudes of quasars (see subsection 2.3), the color variability can be evaluated through the cancellation of photometry shifts (δm). For example, we can write
(8)
where the subscripts on u1 and u2 denote the first and second observing epochs in the comparison.

Figure 9 plots the Δ(ug), Δ(ui), and Δ(gi) color variabilities as functions of quasar variability. The correlation properties of the mini-BAL and NAL quasars are summarized in table 7. The color and magnitude variabilities are positively correlated in both mini-BAL and NAL quasars (namely, brighter quasars tend to be bluer; hereafter called the BWB trend). The same phenomenon has been reported in normal quasars (e.g., G99; Webb & Malkan 2000; VB04; Sakata et al. 2010, 2011; Kokubo et al. 2014). The correlation trends are consistent in the mini-BAL and NAL quasars.

Color variability of Δ(u − g) (top), Δ(u − i ) (middle), and Δ(g − i ) (bottom) versus magnitude variability in mini-BAL [left column: (a), (b), and (c)] and NAL [right column: (d), (e), and (f)] quasars. Magnitude variabilities were determined in the bluer bands. Solid lines are the best fits to the distributions. (Color online)
Fig. 9.

Color variability of Δ(ug) (top), Δ(ui ) (middle), and Δ(gi ) (bottom) versus magnitude variability in mini-BAL [left column: (a), (b), and (c)] and NAL [right column: (d), (e), and (f)] quasars. Magnitude variabilities were determined in the bluer bands. Solid lines are the best fits to the distributions. (Color online)

The standard deviations of the quasar colors, the mean and maximum color variabilities, and the mean and maximum color variability gradients of the mini-BAL and NAL quasars are listed in table 8. Again, no significant differences exist between the mini-BAL and NAL quasars, except for 5.4 σ difference in the maximum color gradient of Δ(u − i).

4 Discussion

4.1 Quasar variability trends of mini-BAL and NAL quasars

4.1.1 Structure function

Comparing the SF fitting parameters of the mini-BAL and NAL quasars to those of normal quasars reported in VB04 and W08 (table 6), we observe the following trends:

  • The power-law indices γ of the mini-BAL and NAL quasars (γ ∼ 0.410 ± 0.115, 0.264 ± 0.056, and 0.436 ± 0.115) were consistent with those of normal quasars reported in W08 (γ ∼ 0.43, 0.48, and 0.44) except in the g band, although the rest-frame wavelength coverage differed among the quasar samples (being dependent on the redshift distribution of the quasar). Similar indices were obtained in a disk instability model5 (γ = 0.41 ∼ 0.49; Kawaguchi et al. 1998). No significant differences were observed between the mini-BAL and NAL quasars.

  • In the asymptotic model Va, the asymptotic value at Δτ = ∞ of mini-BAL/NAL quasars was approximately half that of normal quasars in the g and i bands. The same phenomenon was observed for S(Δτ = 100 d).

4.1.2 Color variability

The mini-BAL and NAL quasars exhibit similar color-magnitude variability (table 7) and color variability (table 8) with one exception: a 5.4 σ difference in the maximum color gradients [MCGs; (|ΔCtrest|)max].

Table 7.

Distribution properties of color variability versus quasar variability.

DistributionN*r  a  
mini-BAL quasar
Δ(ug)–Δu210.8210.527 ± 0.064
Δ(ui)–Δu140.7811.034 ± 0.121
Δ(gi)–Δg260.5700.674 ± 0.048
NAL quasar
Δ(ug)–Δu280.8910.601 ± 0.041
Δ(ui)–Δu220.9620.741 ± 0.042
Δ(gi)–Δg640.8820.830 ± 0.038
DistributionN*r  a  
mini-BAL quasar
Δ(ug)–Δu210.8210.527 ± 0.064
Δ(ui)–Δu140.7811.034 ± 0.121
Δ(gi)–Δg260.5700.674 ± 0.048
NAL quasar
Δ(ug)–Δu280.8910.601 ± 0.041
Δ(ui)–Δu220.9620.741 ± 0.042
Δ(gi)–Δg640.8820.830 ± 0.038

*Number of data points.

Pearson product-moment correlation coefficient.

Slope of regression line.

Table 7.

Distribution properties of color variability versus quasar variability.

DistributionN*r  a  
mini-BAL quasar
Δ(ug)–Δu210.8210.527 ± 0.064
Δ(ui)–Δu140.7811.034 ± 0.121
Δ(gi)–Δg260.5700.674 ± 0.048
NAL quasar
Δ(ug)–Δu280.8910.601 ± 0.041
Δ(ui)–Δu220.9620.741 ± 0.042
Δ(gi)–Δg640.8820.830 ± 0.038
DistributionN*r  a  
mini-BAL quasar
Δ(ug)–Δu210.8210.527 ± 0.064
Δ(ui)–Δu140.7811.034 ± 0.121
Δ(gi)–Δg260.5700.674 ± 0.048
NAL quasar
Δ(ug)–Δu280.8910.601 ± 0.041
Δ(ui)–Δu220.9620.741 ± 0.042
Δ(gi)–Δg640.8820.830 ± 0.038

*Number of data points.

Pearson product-moment correlation coefficient.

Slope of regression line.

Table 8.

Color variability properties of mini-BAL and NAL quasars.

ColorσΔc*〈ΔCCmax|‡Quasar§〈ΔCtrest(|ΔCtrest|)maxQuasar**
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
mini-BAL quasar
Δ(ug)0.0570.058 ± 0.0100.184 ± 0.051Q 1157+0140.161 ± 0.0400.718 ± 0.200UM 675
Δ(ui)0.0690.092 ± 0.0160.241 ± 0.046Q 1157+0140.305 ± 0.0480.482 ± 0.104HS 1603+3820
Δ(gi)0.0380.051 ± 0.0070.136 ± 0.023Q 1157+0140.174 ± 0.0283.952 ± 0.621Q 1157+014
NAL quasar
Δ(ug)0.0470.071 ± 0.0090.182 ± 0.025Q 1700+64160.170 ± 0.0341.956 ± 0.609Q 1700+6416
Δ(ui)0.0600.080 ± 0.0130.218 ± 0.022Q 1700+64160.188 ± 0.0461.374 ± 0.129Q 1700+6416
Δ(gi)0.0490.048 ± 0.0060.208 ± 0.022Q 1946+76580.107 ± 0.0255.329 ± 0.584Q 1946+7658
ColorσΔc*〈ΔCCmax|‡Quasar§〈ΔCtrest(|ΔCtrest|)maxQuasar**
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
mini-BAL quasar
Δ(ug)0.0570.058 ± 0.0100.184 ± 0.051Q 1157+0140.161 ± 0.0400.718 ± 0.200UM 675
Δ(ui)0.0690.092 ± 0.0160.241 ± 0.046Q 1157+0140.305 ± 0.0480.482 ± 0.104HS 1603+3820
Δ(gi)0.0380.051 ± 0.0070.136 ± 0.023Q 1157+0140.174 ± 0.0283.952 ± 0.621Q 1157+014
NAL quasar
Δ(ug)0.0470.071 ± 0.0090.182 ± 0.025Q 1700+64160.170 ± 0.0341.956 ± 0.609Q 1700+6416
Δ(ui)0.0600.080 ± 0.0130.218 ± 0.022Q 1700+64160.188 ± 0.0461.374 ± 0.129Q 1700+6416
Δ(gi)0.0490.048 ± 0.0060.208 ± 0.022Q 1946+76580.107 ± 0.0255.329 ± 0.584Q 1946+7658

*Standard deviation of color amplitude.

Mean amplitude of color variability.

Maximum amplitude of color variability.

§Quasar with maximum color variability amplitude.

Mean color variability gradient (per year).

Maximum color variability gradient (per year).

**Quasar with maximum color variability gradient.

Table 8.

Color variability properties of mini-BAL and NAL quasars.

ColorσΔc*〈ΔCCmax|‡Quasar§〈ΔCtrest(|ΔCtrest|)maxQuasar**
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
mini-BAL quasar
Δ(ug)0.0570.058 ± 0.0100.184 ± 0.051Q 1157+0140.161 ± 0.0400.718 ± 0.200UM 675
Δ(ui)0.0690.092 ± 0.0160.241 ± 0.046Q 1157+0140.305 ± 0.0480.482 ± 0.104HS 1603+3820
Δ(gi)0.0380.051 ± 0.0070.136 ± 0.023Q 1157+0140.174 ± 0.0283.952 ± 0.621Q 1157+014
NAL quasar
Δ(ug)0.0470.071 ± 0.0090.182 ± 0.025Q 1700+64160.170 ± 0.0341.956 ± 0.609Q 1700+6416
Δ(ui)0.0600.080 ± 0.0130.218 ± 0.022Q 1700+64160.188 ± 0.0461.374 ± 0.129Q 1700+6416
Δ(gi)0.0490.048 ± 0.0060.208 ± 0.022Q 1946+76580.107 ± 0.0255.329 ± 0.584Q 1946+7658
ColorσΔc*〈ΔCCmax|‡Quasar§〈ΔCtrest(|ΔCtrest|)maxQuasar**
(mag)(mag)(mag)(mag yr−1)(mag yr−1)
mini-BAL quasar
Δ(ug)0.0570.058 ± 0.0100.184 ± 0.051Q 1157+0140.161 ± 0.0400.718 ± 0.200UM 675
Δ(ui)0.0690.092 ± 0.0160.241 ± 0.046Q 1157+0140.305 ± 0.0480.482 ± 0.104HS 1603+3820
Δ(gi)0.0380.051 ± 0.0070.136 ± 0.023Q 1157+0140.174 ± 0.0283.952 ± 0.621Q 1157+014
NAL quasar
Δ(ug)0.0470.071 ± 0.0090.182 ± 0.025Q 1700+64160.170 ± 0.0341.956 ± 0.609Q 1700+6416
Δ(ui)0.0600.080 ± 0.0130.218 ± 0.022Q 1700+64160.188 ± 0.0461.374 ± 0.129Q 1700+6416
Δ(gi)0.0490.048 ± 0.0060.208 ± 0.022Q 1946+76580.107 ± 0.0255.329 ± 0.584Q 1946+7658

*Standard deviation of color amplitude.

Mean amplitude of color variability.

Maximum amplitude of color variability.

§Quasar with maximum color variability amplitude.

Mean color variability gradient (per year).

Maximum color variability gradient (per year).

**Quasar with maximum color variability gradient.

The 5.4 σ difference in MCGs was observed between a mini-BAL quasar (HS 1603+3820) and a NAL quasar (Q 1700+6416) with BWB trends in Δ(ui). In both quasars, the variability was maximum in the u band and moderate in the i band. However, the ui variability developed over a shorter time frame in Q 1700+6416 than in HS 1603+3820, which might explain the larger color variability gradient in the former than in the latter.

4.1.3 Correlation between EW and quasar variability

As shown in figure 5, the variability trends of the magnitude and EW of the C iv mini-BAL for HS 1603+3820 were marginally synchronized with the quasar variability leading the EW variability. Specifically, the EW first increased from 2012 September (epoch 1) to 2015 February (epoch 3) with a marginal significance level of ∼1.5 σ (ΔEW = 6.0 ± 4.2) and then decreased from 2015 February to 2015 May (epoch 4), while the quasar brightness in the u band first decreased from 2012 September to 2014 May and then increased from 2014 May to 2015 May. The time lag of the marginal synchronizing trend in quasar and absorption line variabilities is about nine months (∼2.6 mon in the quasar rest frame). If we assume the time delay corresponds to the recombination time from C v to C iv, we can place a lower limit on the absorber's gas density of ne ≥ 2.8 × 104 cm−3 by the same prescription as used in Narayanan et al. (2004).

Trévese et al. (2013) reported a similar synchronizing trend in a BAL quasar APM 08279+5255, although one of two NALs detected aside the BAL did not show such a synchronization. They suggested this was due to a larger recombination time for the NAL absorber with smaller electron density compared to the other absorbers. Both of these results are not inconsistent with the VIS scenario.

4.2 The VIS scenario

Assuming the VIS scenario, we now estimate the quasar variability that reproduces the observed absorption line variabilities of BAL and mini-BAL quasars reported in literature. If the VIS scenario holds, the absorption strengths will depend on the ionization condition of the absorber, which is quantified by the ionization parameter, U,
(9)
where Q is the number density of hydrogen-ionizing photons emitted from the continuum source per second, r is the distance between the absorber and the continuum source, and nγ and ne are the volume densities of the ionizing photons and electrons, respectively.

Here, we assume the absorption line variability of (mini-)BALs is attributed to recombination to (or ionization from) C2 + (case A, hereafter) and adopt the optimal ionization parameters for C2 + and C3 + (log U ∼ − 2.8 and − 2.0, respectively; Hamann 1997). Because at least one of our mini-BAL quasars (HS 1603+3820) is unlikely to vary by the gas motion scenario (Misawa et al. 2005, 2007b), we assume constant gas density ne. Therefore, the ionizing photon density nγ should increase/decrease by a factor of ∼6.3 to change log U from/to −2.8 to/from −2.0, corresponding to Δm ∼ 2. For reference, a typical quasar varies by only Δm ∼ 0.1 over several months and maximally varies by Δm ∼ 0.5 over several years (Webb & Malkan 2000). These variabilities are much smaller than the above-required value.6

However, C iv absorbers do not necessarily have an optimal ionization parameter for C3 + (i.e., log U ∼ −2.0). As the other extreme case, if mini-BAL absorbers have log U ∼ −3.0, their ionization fraction f (i.e., the fraction of carbon in ion state C3+) is very sensitive to the ionization parameter (Δlog f/Δlog U ∼ 1.8; case B, hereafter), although it weakly depends on the shape of incident ionizing flux. Indeed, the value of Δlog f/Δlog U for HS 1603+3820, which is the only quasar among our sample for which the magnitude and EW of the C iv mini-BAL were simultaneously monitored over three years, is ∼1.1 between epochs 1 and 2 (Δlog EW ∼Δlog f ∼ 0.1)7 and ∼2.0 between epochs 1 and 3 (Δlog EW ∼ 0.18), assuming Δm ∼ 0.23 (the maximum quasar variability during our monitoring observations). These values are expected for absorbers with ionization parameters of log U ∼ −3–2 (see figure 2 of Hamann 1997). If this is the case, an averaged amplitude of absorption variability in four C iv mini-BALs in our sample (〈Δlog EW〉 ∼ 〈Δlog f〉∼ 0.1) can be caused by only a small change of the ionizing flux, log U ∼ 0.06. This value corresponds to Δm ∼ 0.14, comparable to a typical variability of our sample quasars as well as quasars in the literature (Webb & Malkan 2000). The variability amplitude of C iv ionizing photons in shorter wavelength (λrest ∼ 200 Å) may be even larger because of the anti-correlation between quasar variability and wavelength (see subsection 3.3).

Thus, case B is favorable for explaining the variability trend in HS 1603+3820 with the VIS scenario. However, it has one shortcoming; four mini-BAL systems in our sample have either strong N v absorption lines or no remarkable Si iv absorption lines, which suggests their ionization condition is not as low as log U ∼ −3 (see figure 2 of Hamann 1997). Therefore, it is less likely that case B alone causes the absorption variability of mini-BALs in our sample quasars.

4.3 Additional mechanism to support the VIS scenario

The outflow wind variability may be caused by more than one mechanism. We speculate that the VIS scenario is accompanied by an additional mechanism, such as variable optical depth between the flux source and the absorber. One promising candidates is a warm absorber, which has frequently been detected in X-ray spectroscopy (e.g., Gallagher et al. 2002, 2006; Krongold et al. 2007; Mehdipour et al. 2012). Warm absorbers were originally proposed to avoid over-ionization of the outflow winds (Murray et al. 1995). Because warm absorbers are significantly variable in X-ray monitoring observations (e.g., Chartas et al. 2007; Giustini et al. 2010a, 2010b), the ionization condition of the UV absorber in the downstream might also vary. Indeed, in a photoionization model, Różańska et al. (2014) estimated that the C iv mini-BAL absorber lies within r = 0.1 pc of the quasar center. Similarly, the X-ray warm absorber is estimated to be within 0.1 pc of HS 1603+3820. Ganguly et al. (2001) argued that NAL and BAL absorbers locate at high and low latitudes above the accretion disk equator, respectively. A radiation–MHD simulation by Takeuchi, Ohsuga, and Mineshige (2013) also predicts no warm absorbers at very high latitudes. If this picture is correct, X-ray shielding is ineffective in the NAL outflow directions. Supporting this idea, X-rays are not strongly absorbed in NAL quasars (Misawa et al. 2008). The model of Kurosawa and Proga (2009) supports that NAL absorbers are the interstellar media of host galaxies, which are swept up by the outflow wind. In this case, the absorbers should exhibit little variability because their volume density is very small (corresponding to a very long recombination time). Moreover, they are very distant (of the order of kpcs) from the continuum source, and therefore they should be weakly influenced by the variable flux source. However, Hamann et al. (2013) find no evidence of strong X-ray absorption toward the outflows of either NAL or mini-BAL quasars. Instead of an X-ray warm absorber, they argue that small dense clumpy absorbers avoid over-ionization by self-shielding. In this case, we should expect no correlations between the absorption strengths of the UV and X-ray fluxes.

5 Summary

We performed (i) photometric monitoring observations of four mini-BAL and five NAL quasars over more than three years, and (ii) spectroscopic observation for a single mini-BAL quasar (HS 1603+3820) to investigate whether the VIS scenario can explain the absorption line variability in BALs and mini-BALs. Our main results are summarized below:

  • Quasar variability increases with monitoring time lag but decreases with observed wavelength, as previously reported in normal quasars.

  • Mini-BAL and NAL quasars become bluer as they brighten (the BWB trend), as often observed in normal quasars.

  • The quasar variability properties did not significantly differ between mini-BAL and NAL quasars, indicating that flux and color variabilities alone cannot account for the absorption line variabilities.

  • Quasar magnitude was marginally synchronized with absorption strengths in one mini-BAL quasar HS 1603+3820, with the former temporally leading the latter.

  • The VIS scenario cannot cause the absorption variability of mini-BALs in our sample quasars unless the ionization condition of outflow gas is as low as log U ∼ −3.

  • The VIS scenario may require an additional mechanism that regulates incident flux to the outflow gas. The most promising candidate is X-ray warm absorbers with variable optical depth.

Before conclusively validating the VIS scenario, we need to simultaneously monitor the outflow and shielding material by UV and X-ray spectroscopy. The presented monitoring observations should also be performed on quasars with a wide range of luminosities and Eddington ratios to mask the anti-correlation effect between the luminosity/Eddington ratio and quasar variability.

We thank Ken'ichi Tarusawa, Takao Soyano, and Tsutomu Aoki for supporting our observations at Kiso Observatory for over three years. Ikuru Iwata and Hironori Tsutsui supported our observations with the 188 cm Okayama Telescope with KOOLS. We also thank Noboru Ebizuka, Masami Kawabata, and Takashi Teranishi for producing VPH grisms used in KOOLS and kindly providing them to us, and Rina Okamoto for supporting our observations at Kiso Observatory and Okayama Astrophysical Observatory. The research was supported by JGC-S Scholarship Foundation and the Japan Society for the Promotion of Science through Grant-in-Aid for Scientific Research 15K05020.

1

On the other hand, changes in the absorption strength/feature are referred to as “absorption line variability.”

2

Although this quasar was not studied in Misawa, Charlton, and Eracleous (2014), we sampled it because it hosts a reliable intrinsic NAL confirmed by Misawa et al. (2007a).

3

We emphasize that the rest-frame wavelength regions studied in the current work may differ from those in the literature.

4

The average time lag of all combinations of observing epochs in all bands (used as the criterion).

5

Transient flares or blob formations caused by any instability should alter the luminosity.

6

Even if we attribute the absorption line variability to recombination to (or ionization from) C v (whose optimal ionization parameter is log U ∼ −1.2), the required magnitude variability would be almost the same.

7

If absorbing clouds are optically thin (i.e., absorption lines are at a linear part of the

curve of growth), Δlog EW is close to Δlog f, which is applicable for all mini-BALs in our sample except for one in Q 1157+014.

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