从失超动力学检测四极相的体拓扑
Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
摘要:
直接测量物质拓扑相中的体拓扑观测值是一个长期存在的问题。最近,通过猝灭动力学检测体拓扑引起了越来越多的兴趣。在这里,我们提出量子四极绝缘体的拓扑特征可以通过猝灭动力学读出。具体来说,我们引入了一个量,四极矩加权的手征运营商的本征值,它采取零的平凡阶段和有限的四极拓扑相位。通过利用一种有效的数值方法来跟踪酉时间演化,我们阐明,我们提出的数量确实作为一个指标的拓扑性质的非相互作用和相互作用的情况下。还证明了对疾病的稳健性。
英文摘要:
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.
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