arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.13848physics.opticscond-mat.other
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光与缺陷的非平凡耦合:非线性与拓扑的相互作用

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

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

摘要:

拓扑光子学在过去十年的蓬勃发展主要是由于线性拓扑光子结构的发展。然而,当引入非线性时,出现了许多有趣的问题。例如,当模式通过非线性耦合时,底层拓扑是否存在通用指纹?在非线性传播过程中,拓扑不变量会发生什么?为了探索这些问题,在这里,我们实验证明了非线性诱导耦合到拓扑保护的边缘状态使用光子平台,并从理论上开发了一个通用的框架来解释模式耦合动力学在非线性拓扑系统。在激光写入的光子Su-Schrieffer-Heeger晶格中进行,我们的实验揭示了光到非平凡边缘或界面缺陷通道的非线性耦合,否则由于拓扑保护而不允许。我们的理论很好地解释了所有的观察结果。此外,我们介绍了继承和紧急的非线性拓扑现象的概念,以及能够揭示非线性和拓扑结构的相互作用的协议。这些概念适用于其他非线性拓扑系统,无论是在更高的维度或超越我们的光子平台。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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