Semiclassical theory of strong localization for quantum thermalization
| Autor: | Khripkov, Christine, Vardi, Amichay, Cohen, Doron |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 97, 022127 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.97.022127 |
| Popis: | 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 phasespace exploration. Comment: 13 pages, 8 figures, improved version with extra figures |
| Databáze: | arXiv |
| Externí odkaz: |
|