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Information scrambling in chaotic systems with dissipation

Zhang, Yong-Liang and Huang, Yichen and Chen, Xie (2019) Information scrambling in chaotic systems with dissipation. Physical Review B, 99 (1). Art. No. 014303. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20190109-090932499

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Abstract

Chaotic dynamics in closed local quantum systems scrambles quantum information, which is manifested quantitatively in the decay of the out-of-time-ordered correlators (OTOC) of local operators. How is information scrambling affected when the system is coupled to the environment and suffers from dissipation? In this paper, we address this question by defining a dissipative version of OTOC and numerically study its behavior in a prototypical chaotic quantum chain in the presence of dissipation. We find that dissipation leads to not only the overall decay of the scrambled information due to leaking but also structural changes so that the ‘information light cone’ can only reach a finite distance even when the effect of overall decay is removed. Based on this observation we conjecture a modified version of the Lieb-Robinson bound in dissipative systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.99.014303DOIArticle
https://arxiv.org/abs/1802.04492arXivDiscussion Paper
Additional Information:© 2019 American Physical Society. Received 12 March 2018; revised manuscript received 21 November 2018; published 9 January 2019. Y.-L.Z., Y.H., and X.C. are supported by National Science Foundation under Award Number DMR-1654340 and the Alfred P. Sloan research fellowship. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644). X.C. is also supported by the Walter Burke Institute for Theoretical Physics at Caltech.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1654340
Alfred P. Sloan FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20190109-090932499
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190109-090932499
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92156
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Jan 2019 17:43
Last Modified:09 Jan 2019 17:43

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