Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics

Recently, the phenomenon of quantum-classical correspondence breakdown was uncovered in optomechanics, where in the classical regime the system exhibits chaos but in the corresponding quantum regime the motion is regular - there appears to be no signature of classical chaos whatsoever in the corresp...

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Main Authors:	Wang, Guanglei, Lai, Ying-Cheng, Grebogi, Celso
Format:	Online
Language:	English
Published:	Nature Publishing Group 2016
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5066317/

id	pubmed-5066317
recordtype	oai_dc
spelling	pubmed-50663172016-10-26 Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics Wang, Guanglei Lai, Ying-Cheng Grebogi, Celso Article Recently, the phenomenon of quantum-classical correspondence breakdown was uncovered in optomechanics, where in the classical regime the system exhibits chaos but in the corresponding quantum regime the motion is regular - there appears to be no signature of classical chaos whatsoever in the corresponding quantum system, generating a paradox. We find that transient chaos, besides being a physically meaningful phenomenon by itself, provides a resolution. Using the method of quantum state diffusion to simulate the system dynamics subject to continuous homodyne detection, we uncover transient chaos associated with quantum trajectories. The transient behavior is consistent with chaos in the classical limit, while the long term evolution of the quantum system is regular. Transient chaos thus serves as a bridge for the quantum-classical transition (QCT). Strikingly, as the system transitions from the quantum to the classical regime, the average chaotic transient lifetime increases dramatically (faster than the Ehrenfest time characterizing the QCT for isolated quantum systems). We develop a physical theory to explain the scaling law. Nature Publishing Group 2016-10-17 /pmc/articles/PMC5066317/ /pubmed/27748418 http://dx.doi.org/10.1038/srep35381 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Wang, Guanglei Lai, Ying-Cheng Grebogi, Celso
spellingShingle	Wang, Guanglei Lai, Ying-Cheng Grebogi, Celso Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
author_facet	Wang, Guanglei Lai, Ying-Cheng Grebogi, Celso
author_sort	Wang, Guanglei
title	Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
title_short	Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
title_full	Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
title_fullStr	Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
title_full_unstemmed	Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
title_sort	transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
description	Recently, the phenomenon of quantum-classical correspondence breakdown was uncovered in optomechanics, where in the classical regime the system exhibits chaos but in the corresponding quantum regime the motion is regular - there appears to be no signature of classical chaos whatsoever in the corresponding quantum system, generating a paradox. We find that transient chaos, besides being a physically meaningful phenomenon by itself, provides a resolution. Using the method of quantum state diffusion to simulate the system dynamics subject to continuous homodyne detection, we uncover transient chaos associated with quantum trajectories. The transient behavior is consistent with chaos in the classical limit, while the long term evolution of the quantum system is regular. Transient chaos thus serves as a bridge for the quantum-classical transition (QCT). Strikingly, as the system transitions from the quantum to the classical regime, the average chaotic transient lifetime increases dramatically (faster than the Ehrenfest time characterizing the QCT for isolated quantum systems). We develop a physical theory to explain the scaling law.
publisher	Nature Publishing Group
publishDate	2016
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5066317/
_version_	1613686173452992512

Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics

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