近日，中国科学技术大学易为团队研究了具有光子量子行走的Floquet非阿贝尔拓扑绝缘子的仿真。2026年3月11日出版的《自然—光子学》杂志发表了这项成果。

Floquet非阿贝尔拓扑相出现于周期性驱动系统中，展现出其阿贝尔对应物或静态对应物所不具备的特性。这类被称为Floquet非阿贝尔拓扑绝缘体的系统，其独特之处在于具有非阿贝尔拓扑荷与复杂的体边对应关系，这使得其实验观测极具挑战性。

研究组通过构建高维光量子行走对Floquet非阿贝尔拓扑绝缘体进行模拟，并开发动态测量方案来展示其关键特征。重要的是，通过结合对底层四元数拓扑荷的直接体态动态探测与边缘态的空间分辨注入谱学测量，研究组利用Floquet非阿贝尔拓扑不变量实验证实了体边对应关系——该不变量同时能表征观测到的反常非阿贝尔相。该研究通过实验手段对Floquet非阿贝尔拓扑绝缘体进行了表征，为有能隙的非阿贝尔拓扑相提供了普适性的见解。

附：英文原文

Title: Simulation of a Floquet non-Abelian topological insulator with photonic quantum walks

Author: Lin, Quan, Li, Tianyu, Hu, Haiping, Yi, Wei, Xue, Peng

Issue&Volume: 2026-03-11

Abstract: Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent from their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges with intricate 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 confirm the bulk-boundary correspondence through a Floquet non-Abelian topological invariant, which is also capable of characterizing the observed anomalous non-Abelian phase. This study experimentally characterizes the FNATI, providing general insight into gapped non-Abelian topological phases.

DOI: 10.1038/s41566-026-01854-x

Source: https://www.nature.com/articles/s41566-026-01854-x