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Uhlmann curvature in dissipative phase transitions

A novel approach based on the Uhlmann curvature is introduced for the investigation of non-equilibrium steady-state quantum phase transitions (NESS-QPTs). Equilibrium phase transitions fall invariably into two markedly non-overlapping categories: classical phase transitions and quantum phase transit...

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Autores principales: Carollo, Angelo, Spagnolo, Bernardo, Valenti, Davide
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6026214/
https://www.ncbi.nlm.nih.gov/pubmed/29959332
http://dx.doi.org/10.1038/s41598-018-27362-9
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author Carollo, Angelo
Spagnolo, Bernardo
Valenti, Davide
author_facet Carollo, Angelo
Spagnolo, Bernardo
Valenti, Davide
author_sort Carollo, Angelo
collection PubMed
description A novel approach based on the Uhlmann curvature is introduced for the investigation of non-equilibrium steady-state quantum phase transitions (NESS-QPTs). Equilibrium phase transitions fall invariably into two markedly non-overlapping categories: classical phase transitions and quantum phase transitions. NESS-QPTs offer a unique arena where such a distinction fades off. We propose a method to reveal and quantitatively assess the quantum character of such critical phenomena. We apply this tool to a paradigmatic class of lattice fermion systems with local reservoirs, characterised by Gaussian non-equilibrium steady states. The relations between the behaviour of the Uhlmann curvature, the divergence of the correlation length, the character of the criticality and the dissipative gap are demonstrated. We argue that this tool can shade light upon the nature of non equilibrium steady state criticality in particular with regard to the role played by quantum vs classical fluctuations.
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spelling pubmed-60262142018-07-09 Uhlmann curvature in dissipative phase transitions Carollo, Angelo Spagnolo, Bernardo Valenti, Davide Sci Rep Article A novel approach based on the Uhlmann curvature is introduced for the investigation of non-equilibrium steady-state quantum phase transitions (NESS-QPTs). Equilibrium phase transitions fall invariably into two markedly non-overlapping categories: classical phase transitions and quantum phase transitions. NESS-QPTs offer a unique arena where such a distinction fades off. We propose a method to reveal and quantitatively assess the quantum character of such critical phenomena. We apply this tool to a paradigmatic class of lattice fermion systems with local reservoirs, characterised by Gaussian non-equilibrium steady states. The relations between the behaviour of the Uhlmann curvature, the divergence of the correlation length, the character of the criticality and the dissipative gap are demonstrated. We argue that this tool can shade light upon the nature of non equilibrium steady state criticality in particular with regard to the role played by quantum vs classical fluctuations. Nature Publishing Group UK 2018-06-29 /pmc/articles/PMC6026214/ /pubmed/29959332 http://dx.doi.org/10.1038/s41598-018-27362-9 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Carollo, Angelo
Spagnolo, Bernardo
Valenti, Davide
Uhlmann curvature in dissipative phase transitions
title Uhlmann curvature in dissipative phase transitions
title_full Uhlmann curvature in dissipative phase transitions
title_fullStr Uhlmann curvature in dissipative phase transitions
title_full_unstemmed Uhlmann curvature in dissipative phase transitions
title_short Uhlmann curvature in dissipative phase transitions
title_sort uhlmann curvature in dissipative phase transitions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6026214/
https://www.ncbi.nlm.nih.gov/pubmed/29959332
http://dx.doi.org/10.1038/s41598-018-27362-9
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