Survey parameters for detecting 21cm - Ly$\alpha$ emitter cross correlations with the Square Kilometre Array

Abstract

Detections of the cross correlation signal between the 21cm signal during reionization and high-redshift Lyman Alpha emitters (LAEs) are subject to observational uncertainties which mainly include systematics associated with radio interferometers and LAE selection. These uncertainties can be reduced by increasing the survey volume and/or the survey luminosity limit, i.e. the faintest detectable Lyman Alpha (Ly$\alpha$) luminosity. We use our model of high-redshift LAEs and the underlying reionization state to compute the uncertainties of the 21cm-LAE cross correlation function at $z\simeq 6.6$ for observations with SKA1-Low and LAE surveys with $\Delta z=0.1$ for three different values of the average IGM ionization state ($⟨{\chi }_{\mathrm{HI}}⟩$=0.1, 0.25, 0.5). At $z\simeq 6.6$, we find SILVERRUSH type surveys, with a field of view of 21 deg${}^2$ and survey luminosity limits of $L_{\alpha }\ge 7.9\times 10^{42}$erg~s${}^{-1}$, to be optimal to distinguish between an inter-galactic medium (IGM) that is 50%, 25% and 10% neutral, while surveys with smaller fields of view and lower survey luminosity limits, such as the 5 and 10 deg${}^2$ surveys with WFIRST, can only discriminate between a 50% and 10% neutral IGM.

arXiv comment5 pages, 3 figures, accepted for publication in MNRAS

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• Observations of the Lyman-$\alpha$ Universe
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• Exploring the cosmic dawn and epoch of reionization with 21cm line
• Bubble mapping with the Square Kilometer Array -- I. Detecting galaxies with Euclid, JWST, WFIRST and ELT within ionized bubbles in the intergalactic medium at z>6
• On the general nature of 21cm-Lyman-$\alpha$ emitters cross-correlations during reionisation
• Probing delayed-end reionization histories with the 21cm-LAE cross-power spectrum
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• Detectability of 21cm signal during the Epoch of Reionization with 21cm-Lyman-$\alpha$ emitter cross-correlation. III. Model dependence
• Detecting galaxy-21-cm cross-correlation during reionization
• The 21cm-galaxy cross-correlation: Realistic forecast for 21cm signal detection and reionisation constraints