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Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders by Wei, Xingbo; Wu, Liangqing; Feng, Kewei; Liu, Tong; Zhang, Yunbo is a scholarly article available to read on EtoBox.

What is Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders about?

We investigate a single-particle 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 critical energies separating the weakly ergodic states from ergodic states for a finite potential height. Especially in the latter case, we demonstrate a rich phase diagram with ergodic states, weakly ergodic states, and strongly Wannier-Stark localized states. Our results also exhibit that critical energies are highly dependent on the height of the ladder and ergodic states only survive at $E\approx0$ for the high ladder. Importantly, we find that the number of ergodic states can be adjusted by changing the interval of the non-zero potential. These interesting features will shed light on the study of disorder-free systems.

Author

Wei, Xingbo; Wu, Liangqing; Feng, Kewei; Liu, Tong; Zhang, Yunbo

Published

2023

Language

EN