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(d-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.

Entanglement entropies in free fermion gases for arbitrary dimension

Calabrese, Pasquale;
2012-01-01

Abstract

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(d-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.
2012
97
2
1
6
20009
https://arxiv.org/abs/1110.6276
Calabrese, Pasquale; Mintchev, M; Vicari, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/11458
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