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Entropy production and non-Markovian dynamical maps
In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics: within this framework, there are no bath entropy contributions to the entropy balance....
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5622134/ https://www.ncbi.nlm.nih.gov/pubmed/28963551 http://dx.doi.org/10.1038/s41598-017-12595-x |
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author | Marcantoni, S. Alipour, S. Benatti, F. Floreanini, R. Rezakhani, A. T. |
author_facet | Marcantoni, S. Alipour, S. Benatti, F. Floreanini, R. Rezakhani, A. T. |
author_sort | Marcantoni, S. |
collection | PubMed |
description | In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics: within this framework, there are no bath entropy contributions to the entropy balance. We show that, as a consequence, the entropy production fails to be positive for a class of physically legitimate, that is completely positive and trace preserving, non-Markovian dynamical maps. Moreover, in absence of the semigroup property, if the reduced dynamics has a thermal asymptotic state, this need not be stationary. Then even the integrated entropy production becomes negative. These observations imply that, when the conditions leading to reduced dynamics of semigroup type are relaxed, a consistent formulation of the second law of thermodynamics requires that the environment contribution to the entropy balance be explicitly taken into account. |
format | Online Article Text |
id | pubmed-5622134 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-56221342017-10-12 Entropy production and non-Markovian dynamical maps Marcantoni, S. Alipour, S. Benatti, F. Floreanini, R. Rezakhani, A. T. Sci Rep Article In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics: within this framework, there are no bath entropy contributions to the entropy balance. We show that, as a consequence, the entropy production fails to be positive for a class of physically legitimate, that is completely positive and trace preserving, non-Markovian dynamical maps. Moreover, in absence of the semigroup property, if the reduced dynamics has a thermal asymptotic state, this need not be stationary. Then even the integrated entropy production becomes negative. These observations imply that, when the conditions leading to reduced dynamics of semigroup type are relaxed, a consistent formulation of the second law of thermodynamics requires that the environment contribution to the entropy balance be explicitly taken into account. Nature Publishing Group UK 2017-09-29 /pmc/articles/PMC5622134/ /pubmed/28963551 http://dx.doi.org/10.1038/s41598-017-12595-x Text en © The Author(s) 2017 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 Marcantoni, S. Alipour, S. Benatti, F. Floreanini, R. Rezakhani, A. T. Entropy production and non-Markovian dynamical maps |
title | Entropy production and non-Markovian dynamical maps |
title_full | Entropy production and non-Markovian dynamical maps |
title_fullStr | Entropy production and non-Markovian dynamical maps |
title_full_unstemmed | Entropy production and non-Markovian dynamical maps |
title_short | Entropy production and non-Markovian dynamical maps |
title_sort | entropy production and non-markovian dynamical maps |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5622134/ https://www.ncbi.nlm.nih.gov/pubmed/28963551 http://dx.doi.org/10.1038/s41598-017-12595-x |
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