2011/10/28 by Pasquale Calabrese, Mihail Mintchev, Ettore Vicari · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1209/0295-5075/97/20009
published as Europhys. Lett. 97 (2012) 20009 · 6 pages, 9 figs
arxiv created 2011/10/28 · arxiv updated 2015/06/03
We study the entanglement entropy of connected bipartitions in free fermion gases of N particles in arbitrary dimension d. We show that the von Neumann and Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a prefactor that is analytically computed using the Widom conjecture both for periodic and open boundary conditions. The logarithmic correction to the power-law behavior is related to the area-law violation in lattice free fermions. These asymptotic large-N behaviors are checked against exact numerical calculations for N-particle systems.