边缘态泵浦中的 Landau-Zener-Stückelberg 干涉
Landau-Zener-Stückelberg interference in edge state pumping
AI总结：
本文研究一维模型中绝热边缘态泵浦的非绝热性问题，发现该过程涉及边缘态与体态间的非绝热点，可用 Landau-Zener-Stückelberg 干涉描述，并揭示了弱无序长链中泵浦崩溃的机制，为实验研究边缘态 LZS 动力学提供平台。
摘要：
一维模型中的绝热边缘态泵浦（ESP）在拓扑相变和量子模拟中有重要应用，已在理论和实验中被广泛实现。该现象已在尺寸为 $L = 9 - 100$ 的一些系统中被观察到，且似乎由于拓扑保护，即使存在弱随机势，ESP 也能存活。然而，该过程的绝热性基本问题尚未被阐明。在本文中，我们重新审视这一问题，并表明该过程在边缘态与体态之间的跃迁期间涉及两个非绝热点，从而产生非绝热物理。因此，ESP 可用 Landau-Zener-Stückelberg（LZS）干涉过程来描述，其中边缘态与体态之间的相对相位决定了泵浦过程中边缘态的命运。此外，在相对较长的弱无序链中，ESP 可能因边缘态与体边缘态的反交叉而崩溃。我们从非绝热性的角度揭示了这些物理现象。本工作揭示的 ESP 新机制在实验中易于实现，因此将为边缘态视角下引人入胜的 LZS 动力学提供一个切实可行的平台。
英文摘要：
The adiabatic edge state pumping (ESP) in one dimensional model, which has important applications in topological phase transition and quantum simulation, has been widely performed in both theories and experiments. This phenomenon has been observed in some systems with sizes $L = 9 - 100$, and it seems that due to the topological protection, the ESP can be survived even in the presence of weak random potential. Yet the fundamental issues of adiabaticity for this process have not been clarified. In this paper, we revisit this problem and show that this process involves two non-adiabatic points during the transition between the edge state and bulk state, yielding non-abadiatic physics. As a result, the ESP can be described by the Landau-Zener-Stückelberg (LZS) interference process, in which the relative phase between the edge state and the bulk state determine the fate of the edge state during pumping. Furthermore, in a relatively long chain with weak disorder, the ESP can break down due to the anti-crossing of the edge state and the bulk edge states. We unveil these physics in terms of non-adiabaticity. The new mechanisms for ESP unveiled in this work is readily accessible in experiment, and shall therefore offer a down-to-earth platform for the intriguing LZS dynamics in terms of edge states.
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