论文标题
从淬灭动力学中检测四极相的散装拓扑
Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
论文作者
论文摘要
直接测量物质拓扑阶段可观察到的散装拓扑是一个长期存在的问题。最近，通过淬灭动态检测散装拓扑，引起了人们日益增长的兴趣。在这里，我们建议可以通过淬火动力学读取量子四极杆绝缘子的拓扑特征。具体而言，我们引入了一个数量，这是由手性算子的特征值加权的四极力矩，该算子的特征值对琐碎阶段的量为零，对于四极拓扑阶段而言有限。通过利用有效的数值方法跟踪单一时间演变，我们阐明我们提出的数量确实是非交互和相互作用案例的拓扑特征的指标。还证明了对疾病的鲁棒性。
Direct measurement of a bulk topological observable in topological phase of matter has been a long-standing issue. Recently, detection of bulk topology through quench dynamics has attracted growing interests. Here, we propose that topological characters of a quantum quadrupole insulator can be read out by quench dynamics. Specifically, we introduce a quantity, a quadrupole moment weighted by the eigenvalues of the chiral operator, which takes zero for the trivial phase and finite for the quadrupolar topological phase. By utilizing an efficient numerical method to track the unitary time evolution, we elucidate that the quantity we propose indeed serves as an indicator of topological character for both noninteracting and interacting cases. The robustness against disorders is also demonstrated.
