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Published July 28, 2017 | Submitted + Published + Supplemental Material
Journal Article Open

Noise-Induced Subdiffusion in Strongly Localized Quantum Systems

Abstract

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.

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.

Attached Files

Published - PhysRevLett.119.046601.pdf

Submitted - 1609.04818.pdf

Supplemental Material - noise_supp_v2.pdf

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