Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe

Ossipov, A.

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), Article 130402. 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: https://nottingham-repository.worktribe.com/output/735419
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.130402
• Contract Date: Nov 14, 2017