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Deep-learning-empowered synthetic dimension dynamics:morphing of light into topological modes

Advanced Photonics 2024年第2期6卷 61-68页

作者： Shiqi Xia Sihong Lei Daohong Song Luigi Di Lauro Imtiaz Alamgir Liqin Tang Jingjun Xu Roberto Morandotti hrvoje buljan Zhigang Chen Nankai University TEDA Institute of Applied PhysicsSchool of PhysicsThe MOE Key Laboratory of Weak-Light Nonlinear PhotonicsTianjinChina Shanxi University Collaborative Innovation Center of Extreme OpticsTaiyuanChina INRS-EMT VarennesQuebecCanada University of Zagreb Department of PhysicsFaculty of ScienceZagrebCroatia

Synthetic dimensions(SDs)opened the door for exploring previously inaccessible phenomena in high-dimensional space.However,construction of synthetic lattices with desired coupling properties is a challenging and unintuitive task.Here,we use deep learning artificial neural networks(ANNs)to construct lattices in real space with a predesigned spectrum of mode eigenvalues,and thus to validly design the dynamics in synthetic mode dimensions.By employing judiciously chosen perturbations(wiggling of waveguides at desired frequencies),we show resonant mode coupling and tailored dynamics in SDs.Two distinct examples are illustrated:one features uniform synthetic mode coupling,and the other showcases the edge defects that allow for tailored light transport and confinement.Furthermore,we demonstrate morphing of light into a topologically protected edge mode with modified Su-Schrieffer-Heeger photonic lattices.Such an ANN-assisted construction of SDs may advance toward“utopian networks,”opening new avenues for fundamental research beyond geometric limitations as well as for applications in mode lasing,optical switching,and communication technologies.

关键词： synthetic dimensions deep learning mode manipulation topological mode morphing photonic lattices

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Special Issue on “Topological photonics and beyond:novel concepts and recent advances”

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Light(Science & Applications) 2020年第1期9卷 31-35页

作者： Zhigang Chen hrvoje buljan Daniel Leykam TEDA Applied Physics Institute and School of Physics Nankai UniversityTianjin 300457China Department of Physics and Astronomy San Francisco State UniversitySan FranciscoCA 94132USA Department of Physics Faculty of ScienceUniversity of ZagrebBijenicka cesta 3210000 ZagrebCroatia Centre for Quantum Technologies National University of Singapore3 Science Drive 2Singapore 117543Singapore

The discovery of topological phases and topological insulators has revolutionized several fields of natural science,including condensed matter physics,materials science,and photonics.Topological concepts have been implemented in a variety of materials and in a broad range of wave systems ranging from electronic,atomic,photonic,plasmonic,polaritonic,to microwave,acoustic,and mechanical waves.

关键词： topological microwave condensed

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

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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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Nonlinear control of photonic higher-order topological bound states in the continuum

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Light(Science & Applications) 2021年第9期10卷 1726-1735页

作者： Zhichan Hu Domenico Bongiovanni Dario Jukić Ema Jajtić Shiqi Xia Daohong Song Jingjun Xu Roberto Morandotti hrvoje buljan Zhigang Chen The MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute and School of PhysicsNankai University300457TianjinChina INRS-EMT 1650 Boulevard Lionel-BouletVarennesQCJ3X 1S2Canada Faculty of Civil Engineering University of ZagrebA.Kačića Miošića 2610000ZagrebCroatia Department of Physics Faculty of ScienceUniversity of ZagrebBijenička c.3210000ZagrebCroatia Collaborative Innovation Center of Extreme Optics Shanxi University030006TaiyuanShanxiChina Institute of Fundamental and Frontier Sciences University of Electronic Science and Technology of China610054ChengduSichuanChina Department of Physics and Astronomy San Francisco State UniversitySan FranciscoCA94132USA

Higher-order topological insulators(HOTIs)are recently discovered topological phases,possessing symmetry-protected corner states with fractional charges.An unexpected connection between these states and the seemingly unrelated phenomenon of bound states in the continuum(BICs)was recently unveiled.When nonlinearity is added to the HOTI system,a number of fundamentally important questions arise.For example,how does nonlinearity couple higher-order topological BICs with the rest of the system,including continuum states?In fact,thus far BICs in nonlinear HOTIs have remained unexplored.Here we unveil the interplay of nonlinearity,higher-order topology,and BICs in a photonic platform.We observe topological corner states that are also BICs in a laser-written second-order topological lattice and further demonstrate their nonlinear coupling with edge(but not bulk)modes under the proper action of both self-focusing and defocusing nonlinearities.Theoretically,we calculate the eigenvalue spectrum and analog of the Zak phase in the nonlinear regime,illustrating that a topological BIC can be actively tuned by nonlinearity in such a photonic HOTI.Our studies are applicable to other nonlinear HOTI systems,with promising applications in emerging topology-driven devices.

关键词： topological nonlinearity nonlinear

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