Prospects for constraining quasar ages with fibre spectrographs: quasar-induced Ly α emission from the intergalactic medium

Abstract

We present a theoretical framework for linking quasar properties, such as quasar age, to the surrounding Ly α emission intensity. In particular, we focus on a method for mapping the large-scale structure of Ly α emission intensity with galaxy spectra from wide-field spectroscopic surveys, e.g. the Subaru Prime Focus Spectrograph (PFS) or the Dark Energy Spectroscopic Instrument (DESI), and consider the quasar-induced Ly α emission from the intergalactic medium (IGM). To do this, we construct a theoretical model based on two physical processes: resonant scattering of quasar Ly α photons and fluorescence due to quasar ionizing photons, finding that the fluorescence contribution due to optically thick gas clouds is dominant. Taking into account the light-cone effect and assuming a typical quasar spectrum, we calculate the fluorescence contribution to the spectrum stacked within each bin of the separation angle from the quasar as a function of quasar age. Furthermore, we compute the quasar-Ly α emission cross-correlation and its SNR for the planned PFS survey. The predicted signal can only account for of the measurements indicated from the BOSS and eBOSS surveys in the outer region of, and the predicted SNR is not sufficient to detect the quasar-induced contribution. However, we found that our model, combined with the contribution of star-forming galaxies, is not in conflict with these measurements. We discuss other possible contributions to the Ly α emission excess around quasars, the efficiency of using spectroscopic fibres, and the redshift dependence of our model.