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

Light(Science & Applications) 2020年第1期9卷 646-655页

作者： Shiqi Xia dario jukic Nan Wang Daria Smirnova Lev Smirnov Liqin Tang Daohong Song Alexander Szameit Daniel Leykam Jingjun Xu Zhigang Chen Hrvoje Buljan The MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute and School of PhysicsNankai UniversityTianjin 300457China Faculty of Civil Engineering University of ZagrebA.Kacica Miosica 2610000 ZagrebCroatia Nonlinear Physics Centre Research School of PhysicsAustralian National UniversityCanberraACT 2601Australia Institute of Applied Physics Russian Academy of ScienceNizhny Novgorod 603950Russia Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan 030006 ShanxiPR China Institut für Physik Universitat RostockAlbert-Einstein-Strasse 2318059 RostockGermany Center for Theoretical Physics of Complex Systems Institute for Basic Science(IBS)Daejeon 34126Republic of Korea Basic Science Program Korea University of Science and TechnologyDaejeon 34113Republic of Korea Department of Physics and Astronomy San Francisco State UniversitySan FranciscoCA 94132USA Department of Physics Faculty of ScienceUniversity of ZagrebBijenička c.3210000 ZagrebCroatia

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 the underlying topology when modes are coupled by nonlinearity,and what can happen to topological invariants during nonlinear propagation?To explore these questions,we experimentally demonstrate nonlinearity-induced coupling of light into topologically protected edge states using a photonic platform and develop a general theoretical framework for interpreting the mode-coupling dynamics in nonlinear topological systems.Performed on laser-written photonic Su-Schrieffer-Heeger lattices,our experiments show the nonlinear coupling of light into a nontrivial edge or interface defect channel that is otherwise not permissible due to topological protection.Our theory explains all the observations well.Furthermore,we introduce the concepts of inherited and emergent nonlinear topological phenomena as well as a protocol capable of revealing the interplay of nonlinearity and topology.These concepts are applicable to other nonlinear topological systems,both in higher dimensions and beyond our photonic platform.

关键词： nonlinearity topological coupling

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