Glimpsing through the high-redshift neutral hydrogen fog

We analyse the transmitted flux in a sample of 17 QSOs spectra at 5.74 ≤ z_em ≤ 6.42 to obtain tighter constraints on the volume-averaged neutral hydrogen fraction, x_{H i}, at z ≈ 6. We study separately the narrow transmission windows (peaks) and the wide dark portions (gaps) in the observed absorption spectra. By comparing the statistics of these spectral features with a semi-analytical model of the Lyα forest, we conclude that x_{H i} evolves smoothly from 10^-4.4 at z = 5.3 to 10 ^-4.2 at z = 5.6, with a robust upper limit x_{H i} < 0.36 at z = 6.3. The frequency and physical sizes of the peaks imply an origin in cosmic underdense regions and/or in H ii regions around faint quasars or galaxies. In one case (the intervening H ii region of the faint quasar RD J1148+5253 at z = 5.70 along the line of sight of SDSS J1148+5251 at z = 6.42) the increase of the peak spectral density is explained by the first-ever detected transverse proximity effect in the H i Lyα forest; this indicates that at least some peaks result from a locally enhanced radiation field. We then obtain a strong lower limit on the foreground QSO lifetime of t_Q > 11 Myr. The observed widths of the peaks are found to be systematically larger than the simulated ones. Reasons for such discrepancy might reside either in the photoionization equilibrium assumption or in radiative transfer effects.