Measurements of the z ~ 6 Intergalactic Medium Optical Depth and Transmission Spikes Using a New z > 6.3 Quasar Sample
We report new measurements of the intergalactic medium (IGM) Ly$α$ and Ly$β$ effective optical depth at $5.3 5.3$, $τ\propto(1+z)^{8.6\pm1.0}$. We then estimate the observed Ly$β$ effective optical depth using Ly$β$ forests and convert them to Ly$α$ optical depth for comparison, which provides additional constraints on the evolution of the IGM optical depth. The Ly$β$-based measurements are generally in agreement with the best-fit evolution obtained from Ly$α$ forests. Using this new sample, we identify 389 Ly$α$ and 50 Ly$β$ transmission spikes at $5.5<z<6.3$. The upper limits of Ly$α$ optical depth estimated using transmission spikes are well consistent with our best-fit evolution. The evolution in number density of these high-redshift transmission spikes suggests a rapid transition phase at the end of the reionization. Comparison of our optical depth measurements with hydrodynamical simulations indicates a IGM neutral hydrogen fraction $\langle f_{\rm HI}\rangle\gtrsim10^{-4}$ at $z=6$.