Semiclassical theory of strong localization for quantum thermalization

Christine Khripkov, Amichay Vardi, Doron Cohen

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Abstract

We introduce a semiclassical theory for strong localization that may arise in the context of many-body thermalization. As a minimal model for thermalization we consider a few-site Bose-Hubbard model consisting of two weakly interacting subsystems that can exchange particles. The occupation of a subsystem (x) satisfies in the classical treatment a Fokker-Planck equation with a diffusion coefficient D(x). We demonstrate that it is possible to deduce from the classical description a quantum breaktime t∗ and, hence, the manifestations of a strong localization effect. For this purpose it is essential to take the geometry of the energy shell into account and to make a distinction between different notions of phase-space exploration.

Original languageEnglish
Article number022127
JournalPhysical Review E
Volume97
Issue number2
DOIs
StatePublished - 16 Feb 2018

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