Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation

We derive an easily computable quantum speed limit (QSL) time bound for open systems whose initial states can be chosen as either pure or mixed states. Moreover, this QSL time is applicable to either Markovian or non-Markovian dynamics. By using of a hierarchy equation method, we numerically study t...

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Main Authors:	Sun, Zhe, Liu, Jing, Ma, Jian, Wang, Xiaoguang
Format:	Online
Language:	English
Published:	Nature Publishing Group 2015
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4649631/

id	pubmed-4649631
recordtype	oai_dc
spelling	pubmed-46496312015-11-23 Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation Sun, Zhe Liu, Jing Ma, Jian Wang, Xiaoguang Article We derive an easily computable quantum speed limit (QSL) time bound for open systems whose initial states can be chosen as either pure or mixed states. Moreover, this QSL time is applicable to either Markovian or non-Markovian dynamics. By using of a hierarchy equation method, we numerically study the QSL time bound in a qubit system interacting with a single broadened cavity mode without rotating-wave, Born and Markovian approximation. By comparing with rotating-wave approximation (RWA) results, we show that the counter-rotating terms are helpful to increase evolution speed. The problem of non-Markovianity is also considered. We find that for non-RWA cases, increasing system-bath coupling can not always enhance the non-Markovianity, which is qualitatively different from the results with RWA. When considering the relation between QSL and non-Markovianity, we find that for small broadening widths of the cavity mode, non-Markovianity can increase the evolution speed in either RWA or non-RWA cases, while, for larger broadening widths, it is not true for non-RWA cases. Nature Publishing Group 2015-02-13 /pmc/articles/PMC4649631/ /pubmed/25676589 http://dx.doi.org/10.1038/srep08444 Text en Copyright © 2015, Macmillan Publishers Limited. All rights reserved 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 in order 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	Sun, Zhe Liu, Jing Ma, Jian Wang, Xiaoguang
spellingShingle	Sun, Zhe Liu, Jing Ma, Jian Wang, Xiaoguang Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
author_facet	Sun, Zhe Liu, Jing Ma, Jian Wang, Xiaoguang
author_sort	Sun, Zhe
title	Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
title_short	Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
title_full	Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
title_fullStr	Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
title_full_unstemmed	Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
title_sort	quantum speed limits in open systems: non-markovian dynamics without rotating-wave approximation
description	We derive an easily computable quantum speed limit (QSL) time bound for open systems whose initial states can be chosen as either pure or mixed states. Moreover, this QSL time is applicable to either Markovian or non-Markovian dynamics. By using of a hierarchy equation method, we numerically study the QSL time bound in a qubit system interacting with a single broadened cavity mode without rotating-wave, Born and Markovian approximation. By comparing with rotating-wave approximation (RWA) results, we show that the counter-rotating terms are helpful to increase evolution speed. The problem of non-Markovianity is also considered. We find that for non-RWA cases, increasing system-bath coupling can not always enhance the non-Markovianity, which is qualitatively different from the results with RWA. When considering the relation between QSL and non-Markovianity, we find that for small broadening widths of the cavity mode, non-Markovianity can increase the evolution speed in either RWA or non-RWA cases, while, for larger broadening widths, it is not true for non-RWA cases.
publisher	Nature Publishing Group
publishDate	2015
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4649631/
_version_	1613502830827536384

Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation

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