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Noise-Induced Subdiffusion in Strongly Localized Quantum Systems

Gopalakrishnan, Sarang and Islam, Rajibul D. (2017) Noise-Induced Subdiffusion in Strongly Localized Quantum Systems. Physical Review Letters, 119 (4). Art. No. 046601. ISSN 0031-9007. doi:10.1103/PhysRevLett.119.046601.

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We consider the dynamics of strongly localized systems subject to dephasing noise with arbitrary correlation time. Although noise inevitably induces delocalization, transport in the noise-induced delocalized phase is subdiffusive in a parametrically large intermediate-time window. We argue for this intermediate-time subdiffusive regime both analytically and using numerical simulations on single-particle localized systems. Furthermore, we show that normal diffusion is restored in the long-time limit, through processes analogous to variable-range hopping. Our qualitative conclusions are also valid for interacting systems in the many-body localized phase.

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Additional Information:© 2017 American Physical Society. Received 20 September 2016; revised manuscript received 27 March 2017; published 26 July 2017. We thank K. Agarwal, A. Amir, S. Choi, E. Demler, M. Lukin, V. Oganesyan, and W. Witt for many useful discussions. We acknowledge support from Technical University of Munich—Institute for Advanced Study, funded by the German Excellence Initiative and the European Union FP7 under Grant No. 291763, from the DFG Grant No. KN 1254/1-1, and the Walter Burke Foundation at Caltech.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Technical University of MunichUNSPECIFIED
European Research Council (ERC)291763
Deutsche Forschungsgemeinschaft (DFG)KN 1254/1-1
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20170726-095651127
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Official Citation:Noise-Induced Subdiffusion in Strongly Localized Quantum Systems Sarang Gopalakrishnan, K. Ranjibul Islam, and Michael Knap Phys. Rev. Lett. 119, 046601 (2017) – Published 26 July 2017
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79405
Deposited By: Ruth Sustaita
Deposited On:26 Jul 2017 22:08
Last Modified:15 Nov 2021 17:48

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