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A Schmidt Decomposition Approach to Quantum Thermodynamics
The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum sy...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689058/ https://www.ncbi.nlm.nih.gov/pubmed/36421500 http://dx.doi.org/10.3390/e24111645 |
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author | Malavazi, André Hernandes Alves Brito, Frederico |
author_facet | Malavazi, André Hernandes Alves Brito, Frederico |
author_sort | Malavazi, André Hernandes Alves |
collection | PubMed |
description | The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum systems, and many fundamental open questions remain unanswered. Along these lines, most current efforts and approaches restrict the analysis to particular scenarios of approximative descriptions and semi-classical regimes. Here, we propose a novel approach to describe the thermodynamics of arbitrary bipartite autonomous quantum systems based on the well-known Schmidt decomposition. This formalism provides a simple, exact, and symmetrical framework for expressing the energetics between interacting systems, including scenarios beyond the standard description regimes, such as strong coupling. We show that this procedure allows straightforward identification of local effective operators suitable for characterizing the physical local internal energies. We also demonstrate that these quantities naturally satisfy the usual thermodynamic notion of energy additivity. |
format | Online Article Text |
id | pubmed-9689058 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-96890582022-11-25 A Schmidt Decomposition Approach to Quantum Thermodynamics Malavazi, André Hernandes Alves Brito, Frederico Entropy (Basel) Article The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum systems, and many fundamental open questions remain unanswered. Along these lines, most current efforts and approaches restrict the analysis to particular scenarios of approximative descriptions and semi-classical regimes. Here, we propose a novel approach to describe the thermodynamics of arbitrary bipartite autonomous quantum systems based on the well-known Schmidt decomposition. This formalism provides a simple, exact, and symmetrical framework for expressing the energetics between interacting systems, including scenarios beyond the standard description regimes, such as strong coupling. We show that this procedure allows straightforward identification of local effective operators suitable for characterizing the physical local internal energies. We also demonstrate that these quantities naturally satisfy the usual thermodynamic notion of energy additivity. MDPI 2022-11-12 /pmc/articles/PMC9689058/ /pubmed/36421500 http://dx.doi.org/10.3390/e24111645 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Malavazi, André Hernandes Alves Brito, Frederico A Schmidt Decomposition Approach to Quantum Thermodynamics |
title | A Schmidt Decomposition Approach to Quantum Thermodynamics |
title_full | A Schmidt Decomposition Approach to Quantum Thermodynamics |
title_fullStr | A Schmidt Decomposition Approach to Quantum Thermodynamics |
title_full_unstemmed | A Schmidt Decomposition Approach to Quantum Thermodynamics |
title_short | A Schmidt Decomposition Approach to Quantum Thermodynamics |
title_sort | schmidt decomposition approach to quantum thermodynamics |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689058/ https://www.ncbi.nlm.nih.gov/pubmed/36421500 http://dx.doi.org/10.3390/e24111645 |
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