Nonlinear topological photonics

Abstract

Rapidly growing demands for fast information processing have launched a race for creating compact and highly efficient optical devices that can reliably transmit signals without losses. Recently discovered topological phases of light provide a novel ground for photonic devices robust against scattering losses and disorder. Combining these topological photonic structures with nonlinear effects will unlock advanced functionalities such as nonreciprocity and active tunability. Here we introduce the emerging field of nonlinear topological photonics and highlight recent developments in bridging the physics of topological phases with nonlinear optics. This includes a design of novel photonic platforms which combine topological phases of light with appreciable nonlinear response, self-interaction effects leading to edge solitons in topological photonic lattices, nonlinear topological circuits, active photonic structures exhibiting lasing from topologically-protected modes, and harmonic generation from edge states in topological arrays and metasurfaces. We also chart future research directions discussing device applications such as mode stabilization in lasers, parametric amplifiers protected against feedback, and ultrafast optical switches employing topological waveguides.

21 pages, 12 figures

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• Non-equilibrium Fractional Quantum Hall state of light
• Lieb polariton topological insulators
• Chirality of topological gap solitons in bosonic dimer chains
• Interacting quantum fluid in a polariton topological insulator
• Topological pumping of photons in nonlinear resonator arrays
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials
• Unstable and stable regimes of polariton condensation
• Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
• Engineering topological materials in microwave cavity arrays
• Particle-like behavior of topological defects in linear wave packets in photonic graphene
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• Manipulation of edge states in microwave artificial graphene
• Topological Valley Hall Edge State Lasing
• Topologically Protected Quantum Coherence in a Superatom
• A platform for electrically pumped polariton simulators and topological lasers
• Theory of the coherence of topological lasers
• Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
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• Topological phase transition measured in a dissipative metamaterial
• Floquet topological insulator laser
• Ring Dirac Solitons in Nonlinear Topological Lattices
• Topological dynamics and excitations in lasers and condensates with saturable gain or loss
• Spontaneous and Superfluid Chiral Edge States in Exciton-Polariton Condensates
• Nonlinear Dirac Cones
• Unidirectional Maxwellian Spin Waves
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Simulating frustrated antiferromagnets with quadratically driven QED cavities
• Conical intersections for light and matter waves
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Topological pumping of quantum correlations
• Bulk soliton dynamics in bosonic topological insulators
• Solitary waves in the Nonlinear Dirac Equation
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• Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum
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• Parity anomaly laser
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Cited by in corpus (225)

• Classical higher-order topological insulators
• Topological acoustics
• Nonlinear control of PT-symmetry and non-Hermitian topological states
• Low-threshold topological nanolasers based on second-order corner state
• Lasing from multipole topological corner states
• Quantum electrodynamics in a topological waveguide
• Quantized Nonlinear Thouless Pumping
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Reprogrammable plasmonic topological insulators with ultrafast control
• Controlling mass and energy diffusion with metamaterials
• Roadmap on structured waves
• Hybrid topological photonic crystals
• Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators
• Quantized Fractional Thouless Pumping of Solitons
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Nonlinear chiral metaphotonics
• Experimental observation of topological exciton-polaritons in transition metal dichalcogenide monolayers
• Topological Frequency Combs and Nested Temporal Solitons
• Topological metasurface: From passive toward active and beyond
• Second-harmonic generation via double topological valley-Hall kink modes in all-dielectric photonic crystals
• Lasing from complete set of topological states in two dimensional photonic crystal structure
• Tutorial: Nonlinear magnonics
• Observation of edge solitons in topological trimer arrays
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Experimental demonstration of topological slow light waveguides in valley photonic crystals
• Nonlinearity induced topological physics in momentum space and real space
• Ultrafast Microscopy of a Plasmonic Spin Skyrmion
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Topological phases in ring resonators: recent progress and future prospects
• Coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry
• Stability of topological edge states under strong nonlinear effects
• Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
• Wireless power transfer via topological modes in dimer chains
• Non-abelian Thouless pumping in a photonic lattice
• Room-temperature continuous-wave Dirac-vortex topological lasers on silicon
• Theory of Topological Corner State Laser in Kagome Waveguide Arrays
• Topological photonics: fundamental concepts, recent developments, and future directions
• Observation of nonlinear disclination states
• Theory of the coherence of topological lasers
• Observation of topological frequency combs
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Topological dipole Floquet solitons
• Topological multi-mode waveguide QED
• Nonlinear states and dynamics in a synthetic frequency dimension
• Photonic corner skin modes
• Topological Invariant and Anomalous Edge Modes of Strongly Nonlinear Systems
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Dual-Polarization Second-Order Photonic Topological Insulators
• Giant effective Zeeman splitting in a monolayer semiconductor realized by spin-selective strong light-matter coupling
• Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
• Quantum Hall phase emerging in an array of atoms interacting with photons
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Topological synchronization of quantum van der Pol oscillators
• Optically reconfigurable quantum spin-valley Hall effect of light in coupled nonlinear ring resonator lattice
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Nonlinear Optics: a look from the interaction time viewpoint and what it portends
• Topological synchronization of coupled nonlinear oscillators
• Observation of nonlinear fractal higher-order topological insulator
• Giant Enhancement of Unconventional Photon Blockade in a Dimer Chain
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Topological Protection in a Strongly Nonlinear Interface Lattice
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Dark topological valley Hall edge solitons
• Transition from topological to chaos in the nonlinear Su-Schrieffer-Heeger model
• Nonlinearity-induced reciprocity breaking in a single non-magnetic Taiji resonator
• Photonic Floquet time crystals
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
• Probing band topology using modulational instability
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Interaction-induced topological states of photon pairs
• Nonlinear Topological Mechanics in Elliptically Geared Isostatic Metamaterials
• Nonlinear photonic disclination states
• Topological phase in plasma physics
• Percolation-induced PT symmetry breaking
• Recent advances in terahertz photonic technologies based on graphene and their applications
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Protected generation of dissipative Kerr solitons in supermodes of coupled optical microresonators
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
• Topological Toda lattice and nonlinear bulk-edge correspondence
• Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
• Probing multi-mobility edges in quasiperiodic mosaic lattices
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Valley Hall edge solitons in a photonic graphene
• Insensitive edge solitons in a non-Hermitian topological lattice
• Breakdown of quantization in nonlinear Thouless pumping
• Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference
• Observation of nonlinearity-controlled switching of topological edge states
• Floquet Edge Multicolor Solitons
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Thouless pumping in a driven-dissipative Kerr resonator array
• Vector valley Hall edge solitons in superhoneycomb lattices
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• A large-scale single-mode array laser based on a topological edge mode
• Second-order topological modes in two-dimensional continuous media
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Doublons, topology and interactions in a one-dimensional lattice
• Long-lived elementary excitations and light coherence in topological lasers
• Generator of spatial evolution of the electromagnetic field
• Photonic band structure design using persistent homology
• Floquet edge solitons in modulated trimer waveguide arrays
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Topological photonics on superconducting quantum circuits with parametric couplings
• Enhancement of photon blockade via topological edge states
• Non-Hermitian topological phases and skin effects in kagome lattices
• Bulk soliton dynamics in bosonic topological insulators
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Optical control of topological end states via soliton formation in a 1D lattice
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Topology with memory in nonlinear driven-dissipative photonic lattices
• Chiral edge soliton in nonlinear Chern systems
• Electric circuit emulation of topological transitions driven by quantum statistics
• Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Topological edge states of nonequilibrium polaritons in hollow honeycomb arrays
• Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
• Self-localized topological states in three dimensions
• Observation of nonlinear topological corner states originating from different spectral charges
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Disordered topological graphs enhancing nonlinear phenomena
• Quantum topology in the ultrastrong coupling regime
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Spin-polarization of topological crystalline and normal insulator Pb${}_{1-x}$Sn${}_x$Se (111) epilayers probed by photoelectron spectroscopy
• Higher-order topological phase of interacting photon pairs
• Chiral orbital order of interacting bosons without higher bands
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Domain-wall topology induced by spontaneous symmetry breaking in polariton graphene
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• A topological Dirac-vortex parametric phonon laser
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• All-optical control of topological valley transport in graphene metasurfaces
• Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
• Realization of Z${}_2$ topological photonic insulators made from multilayer transition metal dichalcogenides
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Kibble-Zurek mechanism in polariton graphene
• Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Disorder-Protected Quantum State Transmission through Helical Coupled-Resonator Waveguides
• Nonlinear Topological Edge States: from Dynamic Delocalization to Thermalization
• Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Floquet topological insulators with hybrid edges
• Parametric amplification of topological interface states in synthetic Andreev bands
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Floquet Topological Dissipative Kerr Solitons and Incommensurate Frequency Combs
• Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal
• On-chip multi-timescale spatiotemporal optical synchronization
• Nonlinear Switch and Spatial Lattice Solitons of Photonic s-p Orbitals
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Edge mode bifurcations of two-dimensional topological lasers
• Relative homotopy approach to topological phases in quantum walks
• Topological edge solitons in \{chi}(2) waveguide arrays
• Nonlinear signatures of Floquet band topology
• Four-wave mixing Floquet topological soliton
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Influence of the bus waveguide on the linear and nonlinear response of a taiji microresonator
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• $\pi$-solitons on a ring of waveguides
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Intensity Correlation Measurement to Simulate Two-body BICs and Probe Nonlinear Discrete Breathers
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Floquet valley Hall edge solitons
• Observation of topological valley Hall edge states in honeycomb lattices of superconducting microwave resonators
• Recent advances in the combination of nonlinearity and exceptional points
• Hermitian and non-Hermitian topology in active matter
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• Topological aspects in nonlinear optical frequency conversion
• Synthetic plasmonic lattice formation through invariant frequency comb excitation in graphene structures
• Floquet defect solitons
• Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
• Quadratic solitons in higher-order topological insulators
• Asymmetric topological pumping in nonparaxial photonics
• Nonlinear quadrupole topological insulators
• Polariton Topological Insulators with Disclinations
• Self-induced nonreciprocity from asymmetric photonic topological insulators
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators
• Rotating topological edge solitons
• Quantum transient heat transport in the hyper-parametric oscillator
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
• Nonlinear topological Toda quasicrystal
• Nonlinear dynamical topological phases in Cooper-pair box array
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Topological gap solitons in equidistant lithium niobate waveguide arrays
• Self-induced manipulation of biphoton entanglement in topologically distinct modes
• Floquet states on disclinations
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Nonlinearity-induced corner states in a kagome lattice
• Stable bi-frequency spinor modes as Dark Matter candidates
• Nonlinear topological symmetry protection in a dissipative system
• Quantum transport in nonlinear Rudner-Levitov models
• Quantum Dynamical Signatures of Topological Flow Transitions in Limit Cycle Phases
• Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Photonic quantum Hall effects
• Chiral solitary waves in a nonlinear topological insulator model
• Simulating monitoring-induced topological phase transitions with small systems
• Zak Phase Dislocations in Trimer Lattices
• Nonlinear and Ultrafast All-Dielectric Metasurfaces at the Center for Integrated Nanotechnologies
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction
• Direct Observation of the Zigzag Edge States of a Supramolecular Diatomic Kagome Lattice
• Exceptional light propagation via generalized bulk-edge correspondence
• Insensitive nonreciprocal edge breathers
• Theoretical description of interface states in a tetragonal lattice of bianisotropic resonators
• Topological Photonics on a Small Scale
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Reciprocal Quantum Electrodynamics with Bound States in the Continuum
• Thresholdless nonlinearity-induced edge solitons in trimer arrays
• Self-Accelerating Topological Edge States
• Floquet solitons in square lattices: Existence, Stability and Dynamics