Normal product form of two-mode Wigner operator

In the context of normal product, we use the method of the integration within an ordered product (IWOP) of operators to derive three representations of the two-mode Wigner operator: SU(2) symmetric description, SU(1,1) symmetric description and polar coordinate form. We find that two-mode Wigner ope...

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Autores principales: He, Rui, Liu, Xiangyuan, Wei, Xiangfei, Wu, Congbing, Zhang, Gang, Kong, Min
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8844086/
https://www.ncbi.nlm.nih.gov/pubmed/35165312
http://dx.doi.org/10.1038/s41598-022-06124-8
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author He, Rui
Liu, Xiangyuan
Wei, Xiangfei
Wu, Congbing
Zhang, Gang
Kong, Min
author_facet He, Rui
Liu, Xiangyuan
Wei, Xiangfei
Wu, Congbing
Zhang, Gang
Kong, Min
author_sort He, Rui
collection PubMed
description In the context of normal product, we use the method of the integration within an ordered product (IWOP) of operators to derive three representations of the two-mode Wigner operator: SU(2) symmetric description, SU(1,1) symmetric description and polar coordinate form. We find that two-mode Wigner operator has multiple potential degrees of freedom. As the physical meaning of the selected integral variable changes, Wigner operator shows different symmetries. In particular, in the case of polar coordinates, we reveal the natural connection between the two-mode Wigner operator and the entangled state representation.
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spelling pubmed-88440862022-02-16 Normal product form of two-mode Wigner operator He, Rui Liu, Xiangyuan Wei, Xiangfei Wu, Congbing Zhang, Gang Kong, Min Sci Rep Article In the context of normal product, we use the method of the integration within an ordered product (IWOP) of operators to derive three representations of the two-mode Wigner operator: SU(2) symmetric description, SU(1,1) symmetric description and polar coordinate form. We find that two-mode Wigner operator has multiple potential degrees of freedom. As the physical meaning of the selected integral variable changes, Wigner operator shows different symmetries. In particular, in the case of polar coordinates, we reveal the natural connection between the two-mode Wigner operator and the entangled state representation. Nature Publishing Group UK 2022-02-14 /pmc/articles/PMC8844086/ /pubmed/35165312 http://dx.doi.org/10.1038/s41598-022-06124-8 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
He, Rui
Liu, Xiangyuan
Wei, Xiangfei
Wu, Congbing
Zhang, Gang
Kong, Min
Normal product form of two-mode Wigner operator
title Normal product form of two-mode Wigner operator
title_full Normal product form of two-mode Wigner operator
title_fullStr Normal product form of two-mode Wigner operator
title_full_unstemmed Normal product form of two-mode Wigner operator
title_short Normal product form of two-mode Wigner operator
title_sort normal product form of two-mode wigner operator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8844086/
https://www.ncbi.nlm.nih.gov/pubmed/35165312
http://dx.doi.org/10.1038/s41598-022-06124-8
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