Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
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...
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/48101/ |
| _version_ | 1848797692078063616 |
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| author | Ossipov, A. |
| author_facet | Ossipov, A. |
| author_sort | Ossipov, A. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:07:55Z |
| format | Article |
| id | nottingham-48101 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:07:55Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-481012020-05-04T16:53:35Z https://eprints.nottingham.ac.uk/48101/ Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe Ossipov, A. 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. American Physical Society 2014-09-24 Article PeerReviewed 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 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.130402 doi:10.1103/PhysRevLett.113.130402 doi:10.1103/PhysRevLett.113.130402 |
| spellingShingle | Ossipov, A. Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title | Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title_full | Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title_fullStr | Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title_full_unstemmed | Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title_short | Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe |
| title_sort | entanglement entropy in fermi gases and anderson's orthogonality catastrophe |
| url | https://eprints.nottingham.ac.uk/48101/ https://eprints.nottingham.ac.uk/48101/ https://eprints.nottingham.ac.uk/48101/ |