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Entanglement entropies in free fermion gases for arbitrary dimension

Calabrese, Pasquale and Mintchev, Mihail and Vicari, Ettore (2012) Entanglement entropies in free fermion gases for arbitrary dimension. EPL (Europhysics letters), 97 . p. 20009. ISSN 0295-5075

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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.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 11 Feb 2014 23:35
Last Modified: 11 Feb 2014 23:35
URI: http://eprints.adm.unipi.it/id/eprint/1866

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