Ma Rui, Yan Qiuchen, Luo Yihao, Li Yandong, Wang Xingyuan, Lu Cuicui, Hu Xiaoyong, Gong Qihuang
State Key Laboratory for Mesoscopic Physics & Department of Physics, Collaborative Innovation Center of Quantum Matter & Frontiers Science Center for Nano-Optoelectronics, Peking University, Beijing, 100871, China.
The MOE Key Laboratory of Weak-Light Nonlinear Photonics, TEDA Applied Physics Institute and School of Physics, Nankai University, Tianjin, 300457, China.
Front Optoelectron. 2024 Apr 29;17(1):11. doi: 10.1007/s12200-024-00113-7.
The topological photonics plays an important role in the fields of fundamental physics and photonic devices. The traditional method of designing topological system is based on the momentum space, which is not a direct and convenient way to grasp the topological properties, especially for the perturbative structures or coupled systems. Here, we propose an interdisciplinary approach to study the topological systems in real space through combining the information entropy and topological photonics. As a proof of concept, the Kagome model has been analyzed with information entropy. We reveal that the bandgap closing does not correspond to the topological edge state disappearing. This method can be used to identify the topological phase conveniently and directly, even the systems with perturbations or couplings. As a promotional validation, Su-Schrieffer-Heeger model and the valley-Hall photonic crystal have also been studied based on the information entropy method. This work provides a method to study topological photonic phase based on information theory, and brings inspiration to analyze the physical properties by taking advantage of interdisciplinarity.
拓扑光子学在基础物理学和光子器件领域发挥着重要作用。传统的拓扑系统设计方法基于动量空间，这不是一种直接且便捷的把握拓扑性质的方式，特别是对于微扰结构或耦合系统而言。在此，我们提出一种跨学科方法，通过结合信息熵与拓扑光子学来研究实空间中的拓扑系统。作为概念验证，我们已用信息熵对 Kagome 模型进行了分析。我们揭示了带隙闭合并不对应于拓扑边缘态的消失。该方法可方便且直接地用于识别拓扑相，即使是对于有微扰或耦合的系统。作为推广验证，我们还基于信息熵方法研究了 Su-Schrieffer-Heeger 模型和谷霍尔光子晶体。这项工作提供了一种基于信息论研究拓扑光子相的方法，并为利用跨学科性分析物理性质带来了启发。
