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

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 *** unexpected connection between these states and the seemingly unrelated phenomenon of bound states in the continuum(BICs)was recently *** nonlinearity is added to the HOTI system,a number of fundamentally important questions *** 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 *** we unveil the interplay of nonlinearity,higher-order topology,and BICs in a photonic *** 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 ***,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 *** 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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Topologically tuned terahertz confinement in a nonlinear photonic chip

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Light(Science & Applications) 2022年第6期11卷 1296-1303页

作者： Jiayi Wang Shiqi Xia Ride Wang Ruobin Ma Yao Lu Xinzheng Zhang daohong song Qiang Wu Roberto Morandotti Jingjun Xu Zhigang Chen The MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Institute of Applied Physics and School of PhysicsNankai UniversityTianjin 300457China Innovation Laboratory of Terahertz Biophysics National Innovation Institute of Defense Technology100071 BeijingChina Collaborative Innovation Center of Extreme Optics Shanxi University030006 TaiyuanShanxiChina INRS-EMT 1650 Blvd.Lionel-BouletVarennesQC J3X 152Canada

Compact terahertz(THz)functional devices are greatly sought after for high-speed wireless communication,biochemical sensing,and non-destructive ***,controlled THz generation,along with transport and detection,has remained a challenge especially for chip-scale devices due to low-coupling efficiency and unavoidable absorption ***,based on the topological protection of electromagnetic waves,we demonstrate nonlinear generation and topologically tuned confinement of THz waves in an engineered lithium niobate chip forming a wedge-shaped Su-Schrieffer-Heeger *** measured band structures provide direct visualization of the THz localization in the momentum space,while robustness of the confined mode against chiral perturbations is also analyzed and compared for both topologically trivial and nontrivial *** topological control of THz waves may bring about new possibilities in the realization of THz integrated circuits,promising for advanced photonic applications.

关键词： nonlinear realization wedge

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Specially shaped Bessel-like self-accelerating beams along predesigned trajectories

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Science Bulletin 2015年第13期60卷 1157-1169页

作者： Juanying Zhao I.D.Chremmos Ze Zhang Yi Hu daohong song Peng Zhang N.K.Efremidis Zhigang Chen TEDA Applied Physics Institute and School of Physics Nankai University Science and Technology on Solid-State Laser Laboratory North China Institute of Electronics Optics Department of Physics and Astronomy San Francisco State University Max Planck Institute for the Science of Light Academy of Opto-Electronics Chinese Academy of Sciences Department of Mathematics and Applied Mathematics University of Crete

Over the past several years, spatially shaped self-accelerating beams along different trajectories have been studied extensively. Due to their useful properties such as resistance to diffraction, self-healing, and selfbending even in free space, these beams have attracted great attention with many proposed applications. Interestingly, some of these beams could be designed with controllable spatial profiles and thus propagate along various desired trajectories such as parabolic, snake-like, hyperbolic, hyperbolic secant, three-dimensional spiraling, and even self-propelling trajectories. Experimentally, suchbeams are realized typically by using a spatial light modulator so as to imprint a desired phase distribution on a Gaussian-like input wave front propagating under paraxial or nonparaxial conditions. In this paper, we provide a brief overview of our recent work on specially shaped self-accelerating beams, including Bessel-like, breathing Bessellike, and vortex Bessel-like beams. In addition, we propose and demonstrate a new type of dynamical Bessel-like beams that can exhibit not only self-accelerating but also self-propelling during propagation. Both theoretical and experimental results are presented along with a brief discussion of potential applications.

关键词： Airy beams . Bessel beams . Vortexbeams - Nondiffracting beams . Self-acceleratingSelf-healing

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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 ***,when nonlinearity is introduced,many intriguing questions *** 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 *** 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 *** theory explains all the observations ***,we introduce the concepts of inherited and emergent nonlinear topological phenomena as well as a protocol capable of revealing the interplay of nonlinearity and *** 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 topological valley Hall edge states arising from type-Ⅱ Dirac cones

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Advanced Photonics 2021年第5期3卷 44-51页

作者： Hua Zhong Shiqi Xia Yiqi Zhang Yongdong Li daohong song Chunliang Liu Zhigang Chen Xi’an Jiaotong University School of Electronic Science and EngineeringKey Laboratory for Physical Electronics and Devices of the Ministry of Education&Shaanxi Key Lab of Information Photonic TechniqueFaculty of Electronic and Information EngineeringXi’anChina Nankai University TEDA Applied Physics Institute and School of PhysicsMOE Key Laboratory of Weak-Light Nonlinear PhotonicsTianjinChina San Francisco State University Department of Physics and AstronomySan FranciscoCaliforniaUSA

A Dirac point is a linear band crossing point originally used to describe unusual transport properties of materials like *** recent years,there has been a surge of exploration of type-II Dirac/Weyl points using various engineered platforms including photonic crystals,waveguide arrays,metasurfaces,magnetized plasma and polariton micropillars,aiming toward relativistic quantum emulation and understanding of exotic topological *** endeavors,however,have focused mainly on linear topological states in real or synthetic Dirac/Weyl *** propose and demonstrate nonlinear valley Hall edge(VHE)states in laserwritten anisotropic photonic lattices hosting innately the type-Ⅱ Dirac *** self-trapped VHE states,manifested as topological gap quasi-solitons that can move along a domain wall unidirectionally without changing their profiles,are independent of external magnetic fields or complex longitudinal modulations,and thus are superior in comparison with previously reported topological edge *** finding may provide a route for understanding nonlinear phenomena in systems with type-Ⅱ Dirac points that violate the Lorentz invariance and may bring about possibilities for subsequent technological development in light field manipulation and photonic devices.

关键词： photonic topological insulator type-ⅡDirac cone valley Hall edge soliton

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Synthetic optical vortex beams from the analogous trajectory change of an artificial satellite

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Photonics Research 2019年第9期7卷 1101-1105页

作者： HAIPING WANG LIQIN TANG JINA MA XIUYAN ZHENG daohong song YI HU YIGANG LI ZHIGANG CHEN MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute and School of PhysicsNankai UniversityTianjin300457China Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan030006China Department of Physics and Astronomy San Francisco State UniversitySan FranciscoCalifornia94132USA

We propose a method to generate specially shaped high-order singular beams of pre-designed intensity distributions. Such a method does not a priori assume a phase formula, but rather relies on the 'cake-cutting and assembly' approach to achieve the azimuthal phase gradient for beam shaping, inspired by the orbital motion trajectory change of an artificial satellite. Based on our method, several typical vortex beams with desired intensity patterns are experimentally generated. As an example, we realize optical trapping and transportation of microorganisms with a triangle-shaped vortex beam, demonstrating the applicability of such unconventional vortex beams in optical trapping and manipulation.

关键词： SOV SLM Synthetic optical vortex beams from the analogous trajectory change of an artificial satellite

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Free-space realization of tunable pin-like optical vortex beams

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Photonics Research 2021年第7期9卷 1204-1212页

作者： DOMENICO BONGIOVANNI DENGHUI LI MIHALIS GOUTSOULAS HAO WU YI HU daohong song ROBERTO MORANDOTTI NIKOLAOS KEFREMIDIS ZHIGANG CHEN MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute and School of PhysicsNankai UniversityTianjin 300457China INRS-EMT 1650 Blvd.Lionel-BouletVarennesQuebec J3X 1S2Canada Department of Applied Mathematics University of CreteHeraklionCrete 71409Greece Institute of Fundamental and Frontier Sciences University of Electronic Science and Technology of ChinaChengdu 610054China Institute of Applied and Computational Mathematics FORTHHeraklionCrete 70013Greece Department of Physics&Astronomy San Francisco State UniversitySan FranciscoCalifornia 94132USA

We demonstrate,both analytically and experimentally,free-space pin-like optical vortex beams (POVBs). Such angular-momentum-carrying beams feature tunable peak intensity and undergo robust antidiffracting propagation,realized by judiciously modulating both the amplitude and the phase profile of a standard laser ***,they are generated by superimposing a radially symmetric power-law phase on a helical phase structure,which allows the inclusion of an orbital angular momentum term to the POVBs. During propagation in free space,these POVBs initially exhibit autofocusing dynamics,and subsequently their amplitude patterns morph into a high-order Bessel-like profile characterized by a hollow core and an annular main lobe with a constant or tunable width during propagation. In contrast with numerous previous endeavors on Bessel beams,our work represents the first demonstration of long-distance free-space generation of optical vortex "pins" with their peak intensity evolution controlled by the impressed amplitude structure. Both the Poynting vectors and the optical radiation forces associated with these beams are also numerically analyzed,revealing novel properties that may be useful for a wide range of applications.

关键词： tunable optical Bessel

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

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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 ***,construction of synthetic lattices with desired coupling properties is a challenging and unintuitive ***,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 *** employing judiciously chosen perturbations(wiggling of waveguides at desired frequencies),we show resonant mode coupling and tailored dynamics in *** distinct examples are illustrated:one features uniform synthetic mode coupling,and the other showcases the edge defects that allow for tailored light transport and ***,we demonstrate morphing of light into a topologically protected edge mode with modified Su-Schrieffer-Heeger photonic *** 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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Symmetry-protected third-order exceptional points in staggered flatband rhombic lattices

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Photonics Research 2023年第2期11卷 225-233页

作者： YINGYING ZHANG SHIQIANG XIA XINGDONG ZHAO LU QIN XUEJING FENG WENRONG QI YAJING JIANG HAI LU daohong song LIQIN TANG ZUNLUE ZHU WUMING LIU YUFANG LIU School of Physics Henan Normal UniversityXinxiang 453007China MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute and School of PhysicsNankai UniversityTianjin 300457China Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China Institute of Physics Henan Academy of SciencesZhengzhou 450046China

Higher-order exceptional points(EPs), which appear as multifold degeneracies in the spectra of non-Hermitian systems, are garnering extensive attention in various multidisciplinary fields. However, constructing higher-order EPs still remains a challenge due to the strict requirement of the system symmetries. Here we demonstrate that higher-order EPs can be judiciously fabricated in parity–time(PT)-symmetric staggered rhombic lattices by introducing not only on-site gain/loss but also non-Hermitian couplings. Zero-energy flatbands persist and symmetry-protected third-order EPs(EP3s) arise in these systems owing to the non-Hermitian chiral/sublattice symmetry, but distinct phase transitions and propagation dynamics occur. Specifically, the EP3 arises at the Brillouin zone(BZ) boundary in the presence of on-site gain/loss. The single-site excitations display an exponential power increase in the PT-broken phase. Meanwhile, a nearly flatband sustains when a small lattice perturbation is applied. For the lattices with non-Hermitian couplings, however, the EP3 appears at the BZ center. Quite remarkably, our analysis unveils a dynamical delocalization-localization transition for the excitation of the dispersive bands and a quartic power increase beyond the EP3. Our scheme provides a new platform toward the investigation of the higher-order EPs and can be further extended to the study of topological phase transitions or nonlinear processes associated with higher-order EPs.

关键词： exceptional protected symmetry

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Realization of photonic p-orbital higher-order topological insulators

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eLight 2023年第1期3卷 230-238页

作者： Yahui Zhang Domenico Bongiovanni Ziteng Wang Xiangdong Wang Shiqi Xia Zhichan Hu daohong song Dario Jukic 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 UniversityTianjin 300457China INRS-EMT 1650 Blvd.Lionel‑BouletVarennesQC J3X 1S2Canada Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan 030006ShanxiChina Faculty of Civil Engineering University of ZagrebA.Kacica Miosica 2610000 ZagrebCroatia Department of Physics Faculty of ScienceUniversity of ZagrebBijenicka C.3210000 ZagrebCroatia

The orbital degrees of freedom play a pivotal role in understanding fundamental phenomena in solid-state materials as well as exotic quantum states of matter including orbital superfluidity and topological *** tremendous efforts in engineering synthetic cold-atom,as well as electronic and photonic lattices to explore orbital physics,thus far high orbitals in an important class of materials,namely,higher-order topological insulators(HOTIs),have not been ***,we demonstrate p-orbital corner states in a photonic HOTI,unveiling their underlying topological invariant,symmetry protection,and nonlinearity-induced dynamical *** a Kagome-type HOTI,we find that the topological protection of p-orbital corner states demands an orbital-hopping symmetry in addition to generalized chiral *** to orbital hybridization,nontrivial topology of the p-orbital HOTI is“hidden”if bulk polarization is used as the topological invariant,but well manifested by the generalized winding *** work opens a pathway for the exploration of intriguing orbital phenomena mediated by higher-band topology applicable to a broad spectrum of systems.

关键词： Higher-band topology Orbital degrees of freedom Generalized chiral symmetry Bulk polarization Winding number Breathing Kagome lattice

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