Entanglement of Pseudo-Hermitian Random States

In a recent paper (A. Fring and T. Frith, Phys. Rev A 100, 101102 (2019)), a Dyson scheme to deal with density matrix of non-Hermitian Hamiltonians has been used to investigate the entanglement of states of a PT-symmetric bosonic system. They found that von Neumann entropy can show a different behav...

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Autores principales: Goulart, Cleverson Andrade, Pato, Mauricio Porto
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597225/
https://www.ncbi.nlm.nih.gov/pubmed/33286878
http://dx.doi.org/10.3390/e22101109
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author Goulart, Cleverson Andrade
Pato, Mauricio Porto
author_facet Goulart, Cleverson Andrade
Pato, Mauricio Porto
author_sort Goulart, Cleverson Andrade
collection PubMed
description In a recent paper (A. Fring and T. Frith, Phys. Rev A 100, 101102 (2019)), a Dyson scheme to deal with density matrix of non-Hermitian Hamiltonians has been used to investigate the entanglement of states of a PT-symmetric bosonic system. They found that von Neumann entropy can show a different behavior in the broken and unbroken regime. We show that their results can be recast in terms of an abstract model of pseudo-Hermitian random matrices. It is found however that although the formalism is practically the same, the entanglement is not of Fock states but of Bell states.
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spelling pubmed-75972252020-11-09 Entanglement of Pseudo-Hermitian Random States Goulart, Cleverson Andrade Pato, Mauricio Porto Entropy (Basel) Article In a recent paper (A. Fring and T. Frith, Phys. Rev A 100, 101102 (2019)), a Dyson scheme to deal with density matrix of non-Hermitian Hamiltonians has been used to investigate the entanglement of states of a PT-symmetric bosonic system. They found that von Neumann entropy can show a different behavior in the broken and unbroken regime. We show that their results can be recast in terms of an abstract model of pseudo-Hermitian random matrices. It is found however that although the formalism is practically the same, the entanglement is not of Fock states but of Bell states. MDPI 2020-09-30 /pmc/articles/PMC7597225/ /pubmed/33286878 http://dx.doi.org/10.3390/e22101109 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Goulart, Cleverson Andrade
Pato, Mauricio Porto
Entanglement of Pseudo-Hermitian Random States
title Entanglement of Pseudo-Hermitian Random States
title_full Entanglement of Pseudo-Hermitian Random States
title_fullStr Entanglement of Pseudo-Hermitian Random States
title_full_unstemmed Entanglement of Pseudo-Hermitian Random States
title_short Entanglement of Pseudo-Hermitian Random States
title_sort entanglement of pseudo-hermitian random states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597225/
https://www.ncbi.nlm.nih.gov/pubmed/33286878
http://dx.doi.org/10.3390/e22101109
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