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Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe

Ossipov, A.

Authors

A. Ossipov



Abstract

We study the ground-state entanglement entropy of a finite subsystem of size L of an infinite system of noninteracting fermions scattered by a potential of finite range a. We derive a general relation between the scattering matrix and the overlap matrix and use it to prove that for a one-dimensional symmetric potential the von Neumann entropy, the Rényi entropies, and the full counting statistics are robust against potential scattering, provided that L/a≫1. The results of numerical calculations support the validity of this conclusion for a generic potential.

Citation

Ossipov, A. (2014). Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe. Physical Review Letters, 113(13), https://doi.org/10.1103/PhysRevLett.113.130402

Journal Article Type Article
Acceptance Date Sep 2, 2014
Publication Date Sep 24, 2014
Deposit Date Nov 14, 2017
Publicly Available Date Nov 14, 2017
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 113
Issue 13
Article Number 130402
DOI https://doi.org/10.1103/PhysRevLett.113.130402
Public URL http://eprints.nottingham.ac.uk/id/eprint/48101
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.130402
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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