论文标题
Bose-Hubbard模型中的多体定位：迁移率边缘的证据
Many-body localization in Bose-Hubbard model: evidence for the mobility edge
论文作者
论文摘要
通过在准级光学晶格中进行相互作用的玻色子的最新实验的动机[nature {\ bf 573}，385（2019）]，我们在定位和本地化方案之间的交叉中分析了系统的理论性质。比较均匀和密度波像初始状态一样的时间动力学可以证明迁移率边缘的存在。为此，我们定义了一个新的可观察到的新型运输速度。它使我们有效地估计了跨界的关键障碍。我们还表明，接近系统边缘的职业波动的平均速度增长带有相似的信息。使用量子淬灭过程，我们表明可以探测不同能量的迁移率边缘。
Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like initial states enables demonstration of the existence of the mobility edge. To this end we define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries the similar information. Using the quantum quench procedure we show that it is possible to probe the mobility edge for different energies.
