Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
Phys Rev E. 2018 Feb;97(2-1):022127. doi: 10.1103/PhysRevE.97.022127.
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.
我们介绍了一种适用于多体热化背景下强局域化的半经典理论。作为热化的一个最小模型，我们考虑了一个由两个可以交换粒子的弱相互作用子系统组成的少数体玻色-哈伯德模型。在经典处理中，子系统（x）的占据满足具有扩散系数 D(x)的福克-普朗克方程。我们证明，从经典描述中可以推导出量子破裂时间 t^{*}，从而表现出强烈的局域化效应。为此，必须考虑能量壳的几何形状，并区分不同的相空间探索概念。
