Semiclassical theory of strong localization for quantum thermalization
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.
- Publication:
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Physical Review E
- Pub Date:
- February 2018
- DOI:
- 10.1103/PhysRevE.97.022127
- arXiv:
- arXiv:1711.01740
- Bibcode:
- 2018PhRvE..97b2127K
- Keywords:
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- Quantum Physics;
- Condensed Matter - Quantum Gases;
- Nuclear Theory
- E-Print:
- 13 pages, 8 figures, improved version with extra figures