Mapping quasar light echoes in 3D with Lyα forest tomography

Abstract

The intense radiation emitted by luminous quasars dramatically alters the ionization state of their surrounding IGM. This so-called proximity effect extends out to tens of Mpc, and manifests as large coherent regions of enhanced Lyman-$\hat{I}\pm$ (Ly$\hat{I}\pm$) forest transmission in absorption spectra of background sightlines. Here we present a novel method based on Ly$\hat{I}\pm$ forest tomography, which is capable of mapping these quasar `light echoes' in three dimensions. Using a dense grid (10-100) of faint ($m_r\approx 24.7\mathrm{mag}$) background galaxies as absorption probes, one can measure the ionization state of the IGM in the vicinity of a foreground quasar, yielding detailed information about the quasar's radiative history and emission geometry. An end-to-end analysis - combining cosmological hydrodynamical simulations post-processed with a quasar emission model, realistic estimates of galaxy number densities, and instrument + telescope throughput - is conducted to explore the feasibility of detecting quasar light echoes. We present a new fully Bayesian statistical method that allows one to reconstruct quasar light echoes from thousands of individual low S/N transmission measurements. Armed with this machinery, we undertake an exhaustive parameter study and show that light echoes can be convincingly detected for luminous ($M_{1450}<-27.5\mathrm{mag}$ corresponding to $m_{1450}<18.4\mathrm{mag}$ at $z\simeq 3.6$) quasars at redshifts $3<z_{\mathrm{QSO}}<5$, and that a relative precision better than $20\%$ on the quasar age can be achieved for individual objects, for the expected range of ages between 1 Myr and 100 Myr. The observational requirements are relatively modest - moderate resolution ($R\gtrsim 750$) multi object spectroscopy at low $S/N>5$ is sufficient, requiring three hour integrations using existing instruments on 8m class telescopes.

22 pages, 21 figures