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光子学中的Jackiw–Rebbi态:拓扑起源、实现机制与功能应用

Jackiw–Rebbi States in Photonics: Topological Origins, Realization Mechanisms, and Functional Applications

  • 摘要: Jackiw–Rebbi(JR)态是源于一维Dirac模型中质量项空间符号反转所引发的界面零能模,是拓扑界面态研究中的经典模型。近年来,随着拓扑光子学的发展,对有效Dirac质量的人工调控为构建可控的光学界面模式提供了一条统一的途径。本文系统梳理JR态的拓扑起源与理论模型,建立其在光子系统中的等效描述,并比较其在全介质超构结构、波导阵列、金属与等离激元体系以及非厄米光子系统中的实现方式。从结构设计与器件实现角度,我们分析了这些平台其在质量项调控方式与界面构造方法上的共同原理与关键差异。随后,我们回顾了基于JR态的界面激光器、折射率传感器、相干控制器件以及强耦合极化激元平台的最新进展。我们讨论了当前的挑战与可能的发展方向。本综述系统阐述了JR态在光子学中的物理理解与工程实现。

     

    Abstract: The Jackiw-Rebbi (JR) state is an interface zero mode induced by a spatial sign reversal of the mass term in a one-dimensional Dirac model and represents a canonical model for topological interface states. With the development of topological photonics, engineering an effective Dirac mass has provided a unified route for constructing controllable optical interface modes. This review summarizes the topological origin and theoretical models of JR states, establishes their equivalent descriptions in photonic systems, and compares their implementation in all-dielectric metasurface, waveguide arrays, metallic and plasmonic systems, and non-Hermitian photonic systems. From the perspectives of structural design and device implementation, we analyze the common principles and key differences in mass-term control and interface construction across these platforms. We then review recent advances in JR-state-based interface lasers, refractive-index sensors, coherent control devices, and strong-coupling polariton platforms. Finally, we discuss current challenges and possible future directions. This review provides a systematic account of the physical understanding and engineering realization of JR states in photonics.

     

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