Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929312884588544 |
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| author | Wei, Xingbo Wu, Liangqing Feng, Kewei Liu, Tong Zhang, Yunbo |
| author_facet | Wei, Xingbo Wu, Liangqing Feng, Kewei Liu, Tong Zhang, Yunbo |
| contents | We investigate a single-particle in one-dimensional Wannier-Stark ladders with either a linear potential or a mosaic potential with spacing $κ=2$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15516 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders Wei, Xingbo Wu, Liangqing Feng, Kewei Liu, Tong Zhang, Yunbo Disordered Systems and Neural Networks We investigate a single-particle in one-dimensional Wannier-Stark ladders with either a linear potential or a mosaic potential with spacing $κ=2$. 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. |
| title | Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2308.15516 |