标题： 用光子量子行走模拟弗洛凯非阿贝尔拓扑绝缘体 显示英文标题

标题： Simulating Floquet non-Abelian topological insulator with photonic quantum walks

摘要： 弗洛凯非阿贝尔拓扑相出现在周期驱动系统中，并表现出其阿贝尔或静态对应物所没有的特性。 被称为弗洛凯非阿贝尔拓扑绝缘体（FNATIs），它们的特点是非阿贝尔拓扑电荷，并具有多重体-边界对应关系，使其实验观察具有挑战性。 在这里，我们使用高维光子量子行走模拟FNATI，并开发动态测量方案来展示FNATI的关键特征。 重要的是，结合对底层四元数拓扑电荷的直接体动态检测，以及对边缘态的空间分辨注入光谱，我们实验上建立了多重体-边界对应关系，并特别识别了异常的非阿贝尔相，在该相中边缘态出现在所有带隙中，尽管存在平凡的拓扑电荷。 我们的实验标志着对FNATI的首次实验表征，为非阿贝尔拓扑相提供了普遍的见解。 显示英文摘要

摘要： Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent in their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges and feature multifold bulk-boundary correspondence, making their experimental observation challenging. Here we simulate the FNATI using a higher-dimensional photonic quantum walk and develop dynamic measurement schemes to demonstrate key signatures of the FNATI. Importantly, combining a direct bulk-dynamic detection for the underlying quaternion topological charge, and a spatially-resolved injection spectroscopy for the edge states, we experimentally establish the multifold bulk-boundary correspondence, and, in particular, identify the anomalous non-Abelian phase where edge states appear in all band gaps, despite the presence of a trivial topological charge. Our experiment marks the first experimental characterization of the FNATI, providing general insight into the non-Abelian topological phases.