Absence of dynamical localization in interacting driven systems

Luitz, David J.; Bar Lev, Yevgeny; Lazarides, Achilleas

doi:10.21468/SciPostPhys.3.4.029

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Absence of dynamical localization in interacting driven systems

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Lazarides, Achilleas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://scipost.org/SciPostPhys.3.4.029
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Luitz, D. J., Bar Lev, Y., & Lazarides, A. (2017). Absence of dynamical localization in interacting driven systems. SciPost Physics, 3(4): 029. doi:10.21468/SciPostPhys.3.4.029.

Cite as: https://hdl.handle.net/21.11116/0000-0000-AF2A-D

Abstract

Using a numerically exact method we study the stability of dynamical localization to the addition of interactions in a periodically driven isolated quantum system which conserves only the total number of particles. We find that while even infinitesimally small interactions destroy dynamical localization, for weak interactions density transport is significantly suppressed and is asymptotically diffusive, with a diffusion coefficient proportional to the interaction strength. For systems tuned away from the dynamical localization point, even slightly, transport is dramatically enhanced and within the largest accessible systems sizes a diffusive regime is only pronounced for sufficiently small de-tunings.