动力学量子相变：拓扑结点在波函数重叠中的作用
Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
摘要：
布洛赫带从一个拓扑相到另一个拓扑相的突然量子猝灭已被证明与动力学量子相变（DQPT）的概念有密切的联系，其中猝灭态返回初始态的概率-即Loschirton回声-在临界时刻$\{t^{*}\}$消失。到目前为止，分析结果仅限于两带模型，拓扑结构和DQPT之间的确切关系不清楚。在这项工作中，我们表明，对于一般的多带系统，一个强大的DQPT依赖于节点（即零）的存在，在波函数重叠的初始频带和淬火后的能量本征态。如果两个参与的波函数具有不同的拓扑指数，则这些节点是拓扑保护的。我们证明了这些想法的详细一个和两个空间维度使用三波段广义Hofstadter模型。我们还讨论了可能的实验观察。
英文摘要：
A sudden quantum quench of a Bloch band from one topological phase toward another has been shown to exhibit an intimate connection with the notion of a dynamical quantum phase transition (DQPT), where the returning probability of the quenched state to the initial state---i.e. the Loschmidt echo---vanishes at critical times $\{t^{*}\}$. Analytical results so far are limited to two-band models, leaving the exact relation between topology and DQPT unclear. In this work, we show that for a general multi-band system, a robust DQPT relies on the existence of nodes (i.e. zeros) in the wavefunction overlap between the initial band and the post-quench energy eigenstates. These nodes are topologically protected if the two participating wavefunctions have distinctive topological indices. We demonstrate these ideas in detail for both one and two spatial dimensions using a three-band generalized Hofstadter model. We also discuss possible experimental observations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
