Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe

Ossipov, A. (2014) Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe. Physical Review Letters, 113 (13). 130402/1-130402/5. ISSN 1079-7114

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevLett.113.130402
Depositing User: Ossipov, Alexander
Date Deposited: 14 Nov 2017 13:35
Last Modified: 15 Nov 2017 02:41
URI: http://eprints.nottingham.ac.uk/id/eprint/48101

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