Universal Critical Behaviours in Non-Hermitian Phase Transitions

Abstract Quantum phase transitions occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal critical behaviors for quantum phase transitions and quantum entanglement in non-Hermitian many-body systems. To be specific, we first prove...

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Autores principales:	Bo-Bo Wei, Liang Jin
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/da53ceeb825a4b69847e5cd97da6a40c
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spelling	oai:doaj.org-article:da53ceeb825a4b69847e5cd97da6a40c2021-12-02T16:06:24ZUniversal Critical Behaviours in Non-Hermitian Phase Transitions10.1038/s41598-017-07344-z2045-2322https://doaj.org/article/da53ceeb825a4b69847e5cd97da6a40c2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07344-zhttps://doaj.org/toc/2045-2322Abstract Quantum phase transitions occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal critical behaviors for quantum phase transitions and quantum entanglement in non-Hermitian many-body systems. To be specific, we first prove that the non-degenerate steady state of a non-Hermitian quantum many body system is a universal function of the first derivative of the steady state energy with respect to the control parameter. This finding has far-reaching consequences for non-Hermitian systems. First, it bridges the non-analytic behavior of physical observable and no-analytic behavior of steady state energy, which explains why the quantum phase transitions in non-Hermitian systems occur for finite systems. Second, it predicts universal scaling behaviors of any physical observable at non-Hermitian phase transition point with scaling exponent being (1 − 1/p) with p being the number of coalesced states at the exceptional point. Third, it reveals that quantum entanglement in non-Hermitian phase transition point presents universal scaling behaviors with critical exponents being (1 − 1/p). These results uncover universal critical behaviors in non-Hermitian phase transitions and provide profound connections between entanglement and phase transition in non-Hermitian quantum many-body physics.Bo-Bo WeiLiang JinNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Bo-Bo Wei Liang Jin Universal Critical Behaviours in Non-Hermitian Phase Transitions
description	Abstract Quantum phase transitions occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal critical behaviors for quantum phase transitions and quantum entanglement in non-Hermitian many-body systems. To be specific, we first prove that the non-degenerate steady state of a non-Hermitian quantum many body system is a universal function of the first derivative of the steady state energy with respect to the control parameter. This finding has far-reaching consequences for non-Hermitian systems. First, it bridges the non-analytic behavior of physical observable and no-analytic behavior of steady state energy, which explains why the quantum phase transitions in non-Hermitian systems occur for finite systems. Second, it predicts universal scaling behaviors of any physical observable at non-Hermitian phase transition point with scaling exponent being (1 − 1/p) with p being the number of coalesced states at the exceptional point. Third, it reveals that quantum entanglement in non-Hermitian phase transition point presents universal scaling behaviors with critical exponents being (1 − 1/p). These results uncover universal critical behaviors in non-Hermitian phase transitions and provide profound connections between entanglement and phase transition in non-Hermitian quantum many-body physics.
format	article
author	Bo-Bo Wei Liang Jin
author_facet	Bo-Bo Wei Liang Jin
author_sort	Bo-Bo Wei
title	Universal Critical Behaviours in Non-Hermitian Phase Transitions
title_short	Universal Critical Behaviours in Non-Hermitian Phase Transitions
title_full	Universal Critical Behaviours in Non-Hermitian Phase Transitions
title_fullStr	Universal Critical Behaviours in Non-Hermitian Phase Transitions
title_full_unstemmed	Universal Critical Behaviours in Non-Hermitian Phase Transitions
title_sort	universal critical behaviours in non-hermitian phase transitions
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/da53ceeb825a4b69847e5cd97da6a40c
work_keys_str_mv	AT bobowei universalcriticalbehavioursinnonhermitianphasetransitions AT liangjin universalcriticalbehavioursinnonhermitianphasetransitions
_version_	1718385059120021504

Universal Critical Behaviours in Non-Hermitian Phase Transitions

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