Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians

The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner function and the width of the tomogram of quantum sy...

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Autores principales: López-Saldívar, Julio A., Man’ko, Margarita A., Man’ko, Vladimir I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8621761/
https://www.ncbi.nlm.nih.gov/pubmed/34828143
http://dx.doi.org/10.3390/e23111445
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author López-Saldívar, Julio A.
Man’ko, Margarita A.
Man’ko, Vladimir I.
author_facet López-Saldívar, Julio A.
Man’ko, Margarita A.
Man’ko, Vladimir I.
author_sort López-Saldívar, Julio A.
collection PubMed
description The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner function and the width of the tomogram of quantum systems are proposed to define a temperature scale for this type of states. This proposal is then confirmed for the general one-dimensional case and for a system of two coupled harmonic oscillators. The use of these properties as measures for the temperature of quantum systems is mentioned.
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spelling pubmed-86217612021-11-27 Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians López-Saldívar, Julio A. Man’ko, Margarita A. Man’ko, Vladimir I. Entropy (Basel) Article The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner function and the width of the tomogram of quantum systems are proposed to define a temperature scale for this type of states. This proposal is then confirmed for the general one-dimensional case and for a system of two coupled harmonic oscillators. The use of these properties as measures for the temperature of quantum systems is mentioned. MDPI 2021-10-31 /pmc/articles/PMC8621761/ /pubmed/34828143 http://dx.doi.org/10.3390/e23111445 Text en © 2021 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
López-Saldívar, Julio A.
Man’ko, Margarita A.
Man’ko, Vladimir I.
Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title_full Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title_fullStr Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title_full_unstemmed Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title_short Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians
title_sort measurement of the temperature using the tomographic representation of thermal states for quadratic hamiltonians
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8621761/
https://www.ncbi.nlm.nih.gov/pubmed/34828143
http://dx.doi.org/10.3390/e23111445
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