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 () satisfies in the classical treatment a Fokker-Planck equation with a diffusion coefficient . We demonstrate that it is possible to deduce from the classical description a quantum breaktime 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.
1 More- Received 6 November 2017
- Revised 4 February 2018
DOI:https://doi.org/10.1103/PhysRevE.97.022127
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