SSH模型中拓扑态的探索及其在微环谐振器和半导体激光器中的应用  

Exploration of Topological States in SSH Model and Their Applications in Microring Resonators and Semiconductor Lasers

作　　者：田果果 余琴 张苏娟[1] 郭平[1] 郑继明[1] TIAN Guoguo;YU Qin;ZHANG Sujuan;GUO Ping;ZHENG Jiming(Institute of Photonics&Photon-technology,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学光子学与光子技术研究所,西安710027

出　　处：《光子学报》2025年第2期228-239,共12页Acta Photonica Sinica

基　　金：国家自然科学基金(No.11974277);陕西省自然科学基金(No.2019JM-288);陕西省青年创新团队项目(No.1JP125)。

摘　　要：通过紧束缚模型和传输矩阵法,探讨了在无限大的苏-施里费-希格模型中实现拓扑非平庸态的各种参数取值范围。研究发现,不同格点之间的耦合强度、增益损耗以及虚数规范场的存在,均是导致系统出现拓扑非平庸特性的关键因素。在此基础上,进一步研究了基于苏-施里费-希格模型的有限大微环谐振阵列,观察到了受到拓扑保护的稳定边界态和拓扑超模态。最终,通过求解多腔体耦合的半导体激光器速率方程,研究了在拓扑超模态条件下的激光输出特性,观察到了由超模态构成的稳定激光输出。此外,本文还探讨了通过调节耦合强度和泵浦电流实现从全局分布的拓扑超模态到局域化的拓扑边界态的转变,为激光器输出模式的调控提供了新的策略。Inspired by the concept of topological insulators from condensed matter physics,the field of photonic crystal research has advanced rapidly in recent years,particularly in the exploration of topologically nontrivial states.Topological characteristics,as global features,are inherently insensitive to local perturbations,which endows topologically protected edge states with remarkable robustness.This robustness implies that light fields or electrons within such states are not susceptible to defects and impurities introduced by manufacturing errors and are resistant to decay due to backscattering during transmission.As a result,photonic crystals exhibit numerous exceptional properties and hold great promise for a wide range of applications,including optical waveguides,optical beam splitters,optical isolators,and resonant cavities.Notably,research into topological lasers based on photonic crystals has attracted considerable attention.This paper first investigates the parameter combinations necessary to achieve topologically nontrivial states in an infinitely large Su-Schrieffer-Heeger model using tight-binding and transfer matrix methods.The study identifies that the coupling strengths between different lattice sites,the gain and loss,and the presence of an imaginary gauge field are key factors contributing to the system's topologically nontrivial characteristics.After determining the parameters capable of inducing topologically nontrivial states,stable edge states and topological supermode protected by topology are observed in a finite-sized microring resonator array.By solving the rate equations for a semiconductor laser with multiple coupled cavities,the study examines the laser output characteristics under topological supermode conditions.It is found that,within a reasonable range of parameters,lasers composed of coupled-resonator optical waveguide arrays can operate under topological supermode,successfully demonstrating stable laser output characterized by supermode.In theoretical research,the tight-binding metho

关 键 词：拓扑激光器 耦合谐振腔光波导 SSH模型 激光速率方程 拓扑超模 拓扑边界态 

分 类 号：TN248[电子电信—物理电子学]