论文标题
在静态系统中模拟浮光拓扑阶段
Simulating Floquet topological phases in static systems
论文作者
论文摘要
我们表明，可以使用静态，高阶拓扑绝缘子（HOTIS）边界的散射来模拟（时间周期性的）浮子拓扑绝缘子的行为。我们考虑具有无间隙角状态的d维热，这些态被散射设置中的外波弱探测。我们发现，从HOTI边界描述后散射的统一反射矩阵在拓扑上等同于（D-1） - 维数非平凡的Floquet Operator。为了表征反射矩阵的拓扑结构，我们介绍了“嵌套”散射矩阵的概念。我们的结果为实验室中的工程师拓扑浮雕系统提供了一条途径，而无需外部驾驶。作为好处，拓扑系统不会遭受折叠和加热的困扰。
We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner states which are weakly probed by external waves in a scattering setup. We find that the unitary reflection matrix describing back-scattering from the boundary of the HOTI is topologically equivalent to a (D-1)-dimensional nontrivial Floquet operator. To characterize the topology of the reflection matrix, we introduce the concept of `nested' scattering matrices. Our results provide a route to engineer topological Floquet systems in the lab without the need for external driving. As benefit, the topological system does not to suffer from decoherence and heating.
