Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity

Abstract The Shannon entropy as a measure of information contents is investigated around an exceptional point (EP) in an open elliptical microcavity as a non-Hermitian system. The Shannon entropy is maximized near the EP in the parameter space for two interacting modes, but the exact maximum positio...

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Autores principales:	Kyu-Won Park, Jinuk Kim, Songky Moon, Kyungwon An
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/66f2ae6fb4494a2ead55ed42d96be60d
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spelling	oai:doaj.org-article:66f2ae6fb4494a2ead55ed42d96be60d2021-12-02T16:06:40ZMaximal Shannon entropy in the vicinity of an exceptional point in an open microcavity10.1038/s41598-020-69479-w2045-2322https://doaj.org/article/66f2ae6fb4494a2ead55ed42d96be60d2020-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-69479-whttps://doaj.org/toc/2045-2322Abstract The Shannon entropy as a measure of information contents is investigated around an exceptional point (EP) in an open elliptical microcavity as a non-Hermitian system. The Shannon entropy is maximized near the EP in the parameter space for two interacting modes, but the exact maximum position is slightly off the EP toward the weak interaction region while the slopes of the Shannon entropies diverge at the EP. The Shannon entropies also show discontinuity across a specific line in the parameter space, directly related to the exchange of the Shannon entropy as well as the mode patterns with that line as a boundary. This feature results in a nontrivial topological structure of the Shannon entropy surfaces.Kyu-Won ParkJinuk KimSongky MoonKyungwon AnNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-10 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Kyu-Won Park Jinuk Kim Songky Moon Kyungwon An Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
description	Abstract The Shannon entropy as a measure of information contents is investigated around an exceptional point (EP) in an open elliptical microcavity as a non-Hermitian system. The Shannon entropy is maximized near the EP in the parameter space for two interacting modes, but the exact maximum position is slightly off the EP toward the weak interaction region while the slopes of the Shannon entropies diverge at the EP. The Shannon entropies also show discontinuity across a specific line in the parameter space, directly related to the exchange of the Shannon entropy as well as the mode patterns with that line as a boundary. This feature results in a nontrivial topological structure of the Shannon entropy surfaces.
format	article
author	Kyu-Won Park Jinuk Kim Songky Moon Kyungwon An
author_facet	Kyu-Won Park Jinuk Kim Songky Moon Kyungwon An
author_sort	Kyu-Won Park
title	Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
title_short	Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
title_full	Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
title_fullStr	Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
title_full_unstemmed	Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity
title_sort	maximal shannon entropy in the vicinity of an exceptional point in an open microcavity
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/66f2ae6fb4494a2ead55ed42d96be60d
work_keys_str_mv	AT kyuwonpark maximalshannonentropyinthevicinityofanexceptionalpointinanopenmicrocavity AT jinukkim maximalshannonentropyinthevicinityofanexceptionalpointinanopenmicrocavity AT songkymoon maximalshannonentropyinthevicinityofanexceptionalpointinanopenmicrocavity AT kyungwonan maximalshannonentropyinthevicinityofanexceptionalpointinanopenmicrocavity
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Maximal Shannon entropy in the vicinity of an exceptional point in an open microcavity

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