The bulk-edge correspondence guarantees that the interface between two topologically distinct insulators supports at least one topological edge state that is robust against static perturbations. Here, we address the question of how dynamic perturbations of the interface affect the robustness of edge states. We illuminate the limits of topological protection for Floquet systems in the special case of a static bulk. We use two independent dynamic quantum simulators based on coupled plasmonic and dielectric photonic waveguides to implement the topological Su-Schriefer-Heeger model with convenient control of the full space- and time-dependence of the Hamiltonian. Local time-periodic driving of the interface does not change the topological character of the system but nonetheless leads to dramatic changes of the edge state, which becomes rapidly depopulated in a certain frequency window. A theoretical Floquet analysis shows that the coupling of Floquet replicas to the bulk bands is responsible for this effect. Additionally, we determine the depopulation rate of the edge state and compare it to numerical simulations.

体-边对应关系保证了两个在拓扑上不同的绝缘体之间的界面支持至少一种对静态扰动具有鲁棒性的拓扑边缘状态。在这里，我们解决了界面的动态扰动如何影响边缘状态的鲁棒性的问题。在静态散装的特殊情况下，我们阐明了Floquet系统的拓扑保护极限。我们使用两个基于耦合的等离激元和介电光子波导的独立动态量子模拟器来实现拓扑Su-Schriefer-Heeger模型，并方便地控制哈密顿量的整个时空依赖性。接口的局部时间周期驱动不会更改系统的拓扑特征，但会导致边缘状态发生剧烈变化，在特定的频率窗口中会迅速消失。理论Floquet分析表明，Floquet复制品与体带的耦合是造成这种效应的原因。此外，我们确定边缘状态的人口减少率，并将其与数值模拟进行比较。