Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems

Quantum phase transitions are central to our understanding of why matter at very low temperatures can exhibit starkly different properties upon small changes of microscopic parameters. Accurately locating those transitions is challenging experimentally and theoretically. Here, we show that the antit...

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Main Authors:	Asmi Haldar, Krishnanand Mallayya, Markus Heyl, Frank Pollmann, Marcos Rigol, Arnab Das
Format:	article
Language:	EN
Published:	American Physical Society 2021
Subjects:	Physics QC1-999
Online Access:	https://doaj.org/article/40e2878c7359456cac0fcc95995b598b
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spelling	oai:doaj.org-article:40e2878c7359456cac0fcc95995b598b2021-12-02T18:04:31ZSignatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems10.1103/PhysRevX.11.0310622160-3308https://doaj.org/article/40e2878c7359456cac0fcc95995b598b2021-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031062http://doi.org/10.1103/PhysRevX.11.031062https://doaj.org/toc/2160-3308Quantum phase transitions are central to our understanding of why matter at very low temperatures can exhibit starkly different properties upon small changes of microscopic parameters. Accurately locating those transitions is challenging experimentally and theoretically. Here, we show that the antithetic strategy of forcing systems out of equilibrium via sudden quenches provides a route to locate quantum phase transitions. Specifically, we show that such transitions imprint distinctive features in the intermediate-time dynamics, and results after equilibration, of local observables in quantum chaotic spin chains. Furthermore, we show that the effective temperature in the expected thermal-like states after equilibration can exhibit minima in the vicinity of the quantum critical points. We discuss how to test our results in experiments with Rydberg atoms and explore nonequilibrium signatures of quantum critical points in models with topological transitions.Asmi HaldarKrishnanand MallayyaMarkus HeylFrank PollmannMarcos RigolArnab DasAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031062 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Asmi Haldar Krishnanand Mallayya Markus Heyl Frank Pollmann Marcos Rigol Arnab Das Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
description	Quantum phase transitions are central to our understanding of why matter at very low temperatures can exhibit starkly different properties upon small changes of microscopic parameters. Accurately locating those transitions is challenging experimentally and theoretically. Here, we show that the antithetic strategy of forcing systems out of equilibrium via sudden quenches provides a route to locate quantum phase transitions. Specifically, we show that such transitions imprint distinctive features in the intermediate-time dynamics, and results after equilibration, of local observables in quantum chaotic spin chains. Furthermore, we show that the effective temperature in the expected thermal-like states after equilibration can exhibit minima in the vicinity of the quantum critical points. We discuss how to test our results in experiments with Rydberg atoms and explore nonequilibrium signatures of quantum critical points in models with topological transitions.
format	article
author	Asmi Haldar Krishnanand Mallayya Markus Heyl Frank Pollmann Marcos Rigol Arnab Das
author_facet	Asmi Haldar Krishnanand Mallayya Markus Heyl Frank Pollmann Marcos Rigol Arnab Das
author_sort	Asmi Haldar
title	Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
title_short	Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
title_full	Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
title_fullStr	Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
title_full_unstemmed	Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems
title_sort	signatures of quantum phase transitions after quenches in quantum chaotic one-dimensional systems
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/40e2878c7359456cac0fcc95995b598b
work_keys_str_mv	AT asmihaldar signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems AT krishnanandmallayya signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems AT markusheyl signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems AT frankpollmann signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems AT marcosrigol signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems AT arnabdas signaturesofquantumphasetransitionsafterquenchesinquantumchaoticonedimensionalsystems
_version_	1718378682727268352

Signatures of Quantum Phase Transitions after Quenches in Quantum Chaotic One-Dimensional Systems

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