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Exact relations between particle fluctuations and entanglement in Fermi gases

Calabrese, Pasquale and Mintchev, Mihail and Vicari, Ettore (2012) Exact relations between particle fluctuations and entanglement in Fermi gases. EPL (Europhysics letters), 98 . p. 20003. ISSN 0295-5075

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Abstract

We derive exact relations between the Renyi entanglement entropies and the particle number fluctuations of spatial connected regions in systems of N noninteracting fermions in arbitrary dimension. We prove that the asymptotic large-N behavior of the entanglement entropies is proportional to the variance of the particle number. We also consider 1D Fermi gases with a localized impurity, where all particle cumulants contribute to the asymptotic large-N behavior of the entanglement entropies. The particle cumulant expansion turns out to be convergent for all integer-order Renyi entropies (except for the von Neumann entropy) and the first few cumulants provide already a good approximation. Since the particle cumulants are accessible to experiments, these relations may provide a measure of entanglement in these 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 23:32
Last Modified: 11 Feb 2014 23:32
URI: http://eprints.adm.unipi.it/id/eprint/1867

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