Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping

Abstract

We find that nonlinearities in the dark-matter power spectrum are dramatically smaller if the density field first undergoes a logarithmic mapping. In the Millennium simulation, this procedure produces a power spectrum with a shape hardly departing from the linear power spectrum for k <~ 1 h/Mpc at all redshifts. Also, this procedure unveils pristine Fisher information on a range of scales reaching a factor of 2-3 smaller than in the standard power spectrum, yielding 10 times more cumulative signal-to-noise at z=0.

4 pages, 5 figures, accepted to ApJ Letters. Minor changes to match accepted version. Illustrative large-scale-structure sonifications at http://skysrv.pha.jhu.edu/~neyrinck/sonifylss.html

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