论文标题

光的非平凡耦合到缺陷:非线性和拓扑的相互作用

Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology

论文作者

Xia, Shiqi, Jukić, Dario, Wang, Nan, Smirnova, Daria, Smirnov, Lev, Tang, Liqin, Song, Daohong, Szameit, Alexander, Leykam, Daniel, Xu, Jingjun, Chen, Zhigang, Buljan, Hrvoje

论文摘要

在过去十年中,拓扑光子学的蓬勃发展主要是由于线性拓扑光子结构的发展。但是,当引入非线性时,会出现许多有趣的问题。例如,当模式与非线性结合时,是否存在基本拓扑的通用指纹,而非线性传播期间拓扑不变会发生什么?为了探讨这些问题,我们在这里实验表明,使用光子平台与拓扑保护的边缘状态相连,理论上开发了一个通用框架,用于解释非线性拓扑系统中的模式耦合动力学。在激光写的光子su-schrieffer-heeger晶格中进行的实验表明,光偶联到非平凡的边缘或界面缺陷通道中,否则由于拓扑保护而无法允许。我们的理论很好地解释了所有观察结果。此外,我们介绍了遗传和新兴的非线性拓扑现象的概念,以及能够揭示非线性和拓扑相互作用的协议。这些概念适用于其他非线性拓扑系统,无论是在较高的维度还是超越我们的光子平台。

The flourishing of topological photonics in the last decade was achieved mainly due to developments in linear topological photonic structures. However, when nonlinearity is introduced, many intriguing questions arise. For example, are there universal fingerprints of underlying topology when modes are coupled by nonlinearity, and what can happen to topological invariants during nonlinear propagation? To explore these questions, here we experimentally demonstrate nonlinearity-induced coupling to topologically protected edge states using a photonic platform, and theoretically develop a general framework for interpreting the mode-coupling dynamics in nonlinear topological systems. Performed in laser-written photonic Su-Schrieffer-Heeger lattices, our experiments reveal nonlinear coupling of light into a nontrivial edge or interface defect channel otherwise not permissible due to topological protection. Our theory explains well all the observations. Furthermore, we introduce the concepts of inherited and emergent nonlinear topological phenomena, and a protocol capable of unveiling the interplay of nonlinearity and topology. These concepts are applicable for other nonlinear topological systems, either in higher dimensions or beyond our photonic platform.

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