2014/11/30 by Pasquale Calabrese, Pierre Le Doussal, Satya N. Majumdar · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.91.012303
published as Phys. Rev. A 91, 012303 (2015) · 12 pages, 6 figures, one subsection added in v2
arxiv created 2014/12/24 · arxiv updated 2015/01/08
We exploit and clarify the use of random matrix theory for the calculation of the entanglement entropy of free Fermi gases. We apply this method to obtain analytic predictions for Renyi entanglement entropies of a one-dimensional gas trapped by a harmonic potential in all the relevant scaling regimes. We confirm our findings with accurate numerical calculations obtained by means of an ingenious discretisation of the reduced correlation matrix.