【报告题目】：Exact mobility edges in finite-height Wannier-Stark ladders
【报告时间】：1月12日周五 14：00-15：30
【报告地点】：29#414
【报告人】：魏兴波博士 西湖大学
【报告摘要】：
We investigate the single-particle localization transition in one-dimensional Wannier-Stark ladders with either a linear potential or a mosaic potential with spacing $\kappa=2$. In both cases, we exactly determine the mobility edges separating the weakly Wannier-Stark localized (weakly ergodic) states from extended (ergodic) states for a finite potential height. Especially in the latter case, we demonstrate a rich phase diagram with extended (ergodic) states, weakly Wannier-Stark localized (weakly ergodic) states, and strongly Wannier-Stark localized states. Our results also exhibit that mobility edges are highly dependent on the height of the ladder and extended (ergodic) states only survive at $E\approx0$ for the high ladder. Finally, we perform the simulation of the dynamical evolution for possible experimental observations. These interesting features will shed light on the study of localization phenomena in disorder-free systems.
