Entanglement entropies in free fermion gases for arbitrary dimension

Details Entanglement entropies in free fermion gases for arbitrary dimension Entanglement entropies in free fermion gases for arbitrary dimension

2011-10-28

arxiv.org/abs/1110.6276v1

Europhys. Lett. 97 (2012) 20009

Physics

Condensed Matter

Quantum Gases

6 pages, 9 figs

Scientific paper

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.

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