Sub-Geometric Phases in Density Matrices

This study presents the generalization of geometric phases in density matrices. We show that the extended sub-geometric phase has an unified expression during the adiabatic or nonadiabatic process and establish the relations between them and the usual Berry or Aharonov-Anandan phases. We also demons...

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Autor principal: Wang, Zheng-Chuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6744445/
https://www.ncbi.nlm.nih.gov/pubmed/31519965
http://dx.doi.org/10.1038/s41598-019-49770-1
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author Wang, Zheng-Chuan
author_facet Wang, Zheng-Chuan
author_sort Wang, Zheng-Chuan
collection PubMed
description This study presents the generalization of geometric phases in density matrices. We show that the extended sub-geometric phase has an unified expression during the adiabatic or nonadiabatic process and establish the relations between them and the usual Berry or Aharonov-Anandan phases. We also demonstrate the influence of sub-geometric phases on the physical observables. Finally, the above treatment is used to investigate the geometric phase in a mixed state.
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spelling pubmed-67444452019-09-27 Sub-Geometric Phases in Density Matrices Wang, Zheng-Chuan Sci Rep Article This study presents the generalization of geometric phases in density matrices. We show that the extended sub-geometric phase has an unified expression during the adiabatic or nonadiabatic process and establish the relations between them and the usual Berry or Aharonov-Anandan phases. We also demonstrate the influence of sub-geometric phases on the physical observables. Finally, the above treatment is used to investigate the geometric phase in a mixed state. Nature Publishing Group UK 2019-09-13 /pmc/articles/PMC6744445/ /pubmed/31519965 http://dx.doi.org/10.1038/s41598-019-49770-1 Text en © The Author(s) 2019 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
Wang, Zheng-Chuan
Sub-Geometric Phases in Density Matrices
title Sub-Geometric Phases in Density Matrices
title_full Sub-Geometric Phases in Density Matrices
title_fullStr Sub-Geometric Phases in Density Matrices
title_full_unstemmed Sub-Geometric Phases in Density Matrices
title_short Sub-Geometric Phases in Density Matrices
title_sort sub-geometric phases in density matrices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6744445/
https://www.ncbi.nlm.nih.gov/pubmed/31519965
http://dx.doi.org/10.1038/s41598-019-49770-1
work_keys_str_mv AT wangzhengchuan subgeometricphasesindensitymatrices

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