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
Full text not available from this repository.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 |
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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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