Topological Photonics

Abstract

Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without dissipation even in the presence of impurities. Similarly, new optical mirrors of different wave-vector space topologies have been constructed to support new states of light propagating at their interfaces. These novel waveguides allow light to flow around large imperfections without back-reflection. The present review explains the underlying principles and highlights the major findings in photonic crystals, coupled resonators, metamaterials and quasicrystals.

progress and review of an emerging field, 12 pages, 6 figures and 1 table

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• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
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• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
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• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
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• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
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• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
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• Analogs of quantum Hall effect edge states in photonic crystals
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• Light-induced gauge fields for ultracold atoms
• Topological States and Adiabatic Pumping in Quasicrystals
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Hall Effect of Light
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
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• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
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• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Topological nodal line semimetals with and without spin-orbital coupling
• Scattering approach to parametric pumping
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Topological Boundary Modes in Isostatic Lattices
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Extraordinary momentum and spin in evanescent waves
• Quantum phase transitions of light
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Bose-Einstein condensation of photons in an optical microcavity
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Weyl points and line nodes in gapless gyroid photonic crystals
• Coherent generation of nonclassical light on a chip via photon-induced tunneling and blockade
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Deterministic photon-emitter coupling in chiral photonic circuits
• Topological Thouless Pumping of Ultracold Fermions
• An Adiabatic Quantum Electron Pump
• Rapidly Rotating Atomic Gases
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Synthetic gauge fields in synthetic dimensions
• Observation of topologically protected bound states in a one dimensional photonic system
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Topology by Dissipation in Atomic Quantum Wires
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
• Propagating phonons coupled to an artificial atom
• Edge states and topological phases in non-Hermitian systems
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Optomechanical quantum information processing with photons and phonons
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Topological chiral magnonic edge mode in a magnonic crystal
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topologically protected midgap states in complex photonic lattices
• Observation of novel edge states in photonic graphene
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Photon-Photon Interactions via Rydberg Blockade
• Merging of Dirac points in a two-dimensional crystal
• Does a Surface Polariton Have Spin?
• Time Reversal Invariant Topologically Insulating Circuits
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Topological properties of linear circuit lattices
• Topological phonon modes and their role in dynamic instability of microtubules
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• Quantum simulation of an extra dimension
• Dispersive Photon Blockade in a Superconducting Circuit
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Topological singularities and the general classification of Floquet-Bloch systems
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Topological Polaritons
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Topological creation and destruction of edge states in photonic graphene
• Artificial Gauge Field for Photons in Coupled Cavity Arrays
• Optomechanically induced non-reciprocity in microring resonators
• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• PT-symmetry in honeycomb photonic lattices
• Polariton $\mathbb{Z}$ Topological Insulator
• Effective Hamiltonians for periodically driven systems
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Fermionized photons in an array of driven dissipative nonlinear cavities
• Electromagnetically induced transparency with Rydberg atoms
• Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --
• Space dependent Fermi velocity in strained graphene
• Mesoscopic mechanism of adiabatic charge transport
• Synthetic Landau levels for photons
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
• Photonic quantum walk in a single beam with twisted light
• Quantum walks and wavepacket dynamics on a lattice with twisted photons
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Statistical mechanics of a nonlinear discrete system
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Topological semimetals with Riemann surface states
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Topological Polaritons and Excitons in Garden Variety Systems
• Fractional Quantum Hall State in Coupled Cavities
• Unveiling pseudospin and angular momentum in photonic graphene
• Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Topological index for periodically driven time-reversal invariant 2D systems
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Creating artificial magnetic fields for cold atoms by photon-assisted tunneling
• Floquet Topological States in Shaking Optical Lattices
• Prefect Klein tunneling in anisotropic graphene-like photonic lattices
• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Polaritonic Feshbach Resonance
• Topological Edge Plasmon Modes between Diatomic Chains of Nanoparticles
• Periodically-driven quantum matter: the case of resonant modulations
• Effective theory of quadratic degeneracies
• Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
• Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus
• Network Models of Photonic Floquet Topological Insulators
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Tunable coupling engineering between superconducting resonators: from sidebands to effective gauge fields
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Topology of density matrices
• Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
• Wave packets in Honeycomb Structures and Two-Dimensional Dirac Equations
• Measuring topological invariants in photonic systems
• Radiative topological states in resonant photonic crystals
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Scattering resonances and bound states for strongly interacting Rydberg polaritons
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Non-equilibrium Fractional Quantum Hall state of light
• Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Interacting quantum fluid in a polariton topological insulator
• Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
• Floquet Edge States with Ultracold Atoms
• Photonic simulation of topological excitations in metamaterials
• Propagation of a quantum fluid of light in a cavityless nonlinear optical medium: General theory and response to quantum quenches
• Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
• Coulomb bound states of strongly interacting photons
• Scattering theory of topological phases in discrete-time quantum walks
• Observation of Cavity Rydberg Polaritons
• Topologically protected excitons in porphyrin thin films
• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• Edge-state instabilities of bosons in a topological band
• Topological photonic crystal with equifrequency Weyl points
• Chemical potential for light by parametric coupling
• Four-dimensional photonic lattices and discrete tesseract solitons
• Theory of the spatial structure of non-linear lasing modes
• Effective magnetic fields for photons in waveguide and coupled resonator lattices
• Photonic Bloch oscillations of correlated particles
• Manipulation of edge states in microwave artificial graphene
• Feshbach blockade: single-photon nonlinear optics using resonantly enhanced cavity-polariton scattering from biexciton states
• Stochastic Formation of Polariton Condensates in Two Degenerate Orbital States
• Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Floquet Weyl Phases in a Three Dimensional Network Model
• Effective magnetic fields for stationary light
• How to detect the pseudospin-1/2 Berry phase in a photonic crystal with a Dirac spectrum
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
• Topological growing of Laughlin states in synthetic gauge fields
• Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators
• Many-body physics of Rydberg dark-state polaritons in the strongly interacting regime
• Topological instabilities in ac-driven bosonic systems
• Statistics of Dynamics of Localized Waves
• How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
• Observation of backscattering-immune chiral electromagnetic modes without time reversal breaking
• Gapless surface states in a lattice of coupled cavities: a photonic analog of topological crystalline insulators
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators
• Magnetostatic wave analog of integer quantum Hall state in patterned magnetic films
• Topological polaritons from photonic Dirac cones coupled to excitons in a magnetic field
• Seeing bulk topological properties of band insulators in small photonic lattices
• Strong transmission and reflection of edge modes in bounded photonic graphene
• Inter-mode reactive coupling induced by waveguide-resonator interaction
• Extinction of coherent backscattering by a disordered photonic crystal with a Dirac spectrum
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Prethermalization in a quenched one-dimensional quantum fluid of light: Intrinsic limits to the coherent propagation of a light beam in a nonlinear optical fiber
• Quantum Crystals and Laughlin Droplets of Cavity Rydberg Polaritons
• Wrapping Current versus Bulk Integer Quantum Hall Effect in Three Dimensions
• Synthetic gauge fields for light beams in optical resonators
• On the Role of Symmetries in the Theory of Photonic Crystals
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Growing quantum states with topological order

Cited by in corpus (1209)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Spin-orbit interactions of light
• Edge states and topological invariants of non-Hermitian systems
• Non-Hermitian Physics
• Outlook for inverse design in nanophotonics
• Chiral Quantum Optics
• Scheme to Achieve Silicon Topological Photonics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Acoustics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological nature of bound states in the radiation continuum
• Acoustic topological insulator and robust one-way sound transport
• Experimental observation of Weyl points
• Transverse and longitudinal angular momenta of light
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian Chern bands
• Topological nodal line semimetals with and without spin-orbital coupling
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Spawning rings of exceptional points out of Dirac cones
• Quantum spin Hall effect of light
• Terahertz topological photonics for on-chip communication
• A topological quantum optics interface
• Topologically protected elastic waves in phononic metamaterials
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• All-Si Valley-Hall Photonic Topological Insulator
• Topologically Enabled Ultra-high-Q Guided Resonances Robust to Out-of-plane Scattering
• Transforming heat transfer with thermal metamaterials and devices
• Topolectrical circuits
• Deterministic photon-emitter coupling in chiral photonic circuits
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• A Silicon-on-Insulator Slab for Topological Valley Transport
• Floquet Topological Insulators for Sound
• Experimental realization of optomechanically induced non-reciprocity
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Nonlinear topological photonics
• Topological protection of photonic mid-gap cavity modes
• Exciton-polariton topological insulator
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Observation of photonic anomalous Floquet Topological Insulators
• Classical higher-order topological insulators
• Generalized nonreciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering
• Second-order photonic topological insulator with corner states
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Generalized Kerker Effects in Nanophotonics and Meta-Optics
• Second-Order Topological Phases in Non-Hermitian Systems
• Observation of second-order topological insulators in sonic crystals
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Topological phase transition in non-Hermitian quasicrystals
• Corner states of light in photonic waveguides
• Valley Vortex States in Sonic Crystals
• Observation of Photonic Topological Valley-Hall Edge States
• Topological Hybrid Silicon Microlasers
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Photonic crystals for nano-light in moiré graphene superlattices
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Valley-protected backscattering suppression in silicon photonic graphene
• Topological quantum matter in synthetic dimensions
• Interacting topological insulators: a review
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Photonic crystal nanocavity based on a topological corner state
• Realization of a three-dimensional photonic topological insulator
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Topological properties of linear circuit lattices
• Experimental Realization of Acoustic Chern Insulator
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Double-Weyl phonons in transition-metal monosilicides
• Observation of Topological Band Gap Solitons
• Universal spin-momentum locking of evanescent waves
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• A topological source of quantum light
• Observation of optical vortices in momentum space
• Multipolar nonlinear nanophotonics
• Intelligent Nanophotonics: Merging Photonics and Artificial Intelligence at the Nanoscale
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Acoustic realization of quadrupole topological insulators
• Higher-order topological corner states induced by gain and loss
• Observation of topological valley modes in an elastic hexagonal lattice
• Active topological photonics
• Robust light transport in non-Hermitian photonic lattices
• Low-threshold topological nanolasers based on second-order corner state
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Topological Phases of Sound and Light
• Photonic gauge potential in a system with a synthetic frequency dimension
• Nonlinearity-induced photonic topological insulator
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Valley Topological Phases in Bilayer Sonic Crystals
• Electronically Programmable Photonic Molecule
• Generation and Annihilation of Topologically-Protected Bound States in the Continuum and Circularly-Polarized States by Symmetry Breaking
• Artificial gauge fields in materials and engineered systems
• Metasurface engineering through bound states in the continuum
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Tunable topological phononic crystals
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological photonic crystal nanocavity laser
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Topological Origin of Equatorial Waves
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Supertoroidal light pulses: Propagating electromagnetic skyrmions in free space
• Coexistence of quantized and non-quantized geometric phases in quasi-one-dimensional systems without inversion symmetry
• Topological Fano Resonances
• Dirac-vortex topological cavity
• Topological strong field physics on sub-laser cycle time scale
• Quantum electrodynamics in a topological waveguide
• Non-linear second-order topological insulators
• Measurement of topological invariants in a 2D photonic system
• Topological Polaritons and Excitons in Garden Variety Systems
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Geometry dependence of surface lattice resonances in plasmonic nanoparticle arrays
• Pseudospin-valley coupled edge states in a photonic topological insulator
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Strain-engineering of Berry curvature dipole and valley magnetization in monolayer MoS${}_2$
• Topological Phase Transition in Mechanical Honeycomb Lattice
• Topological phononic insulator with robustly pseudospin-dependent transport
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Demonstration of a quantized acoustic octupole topological insulator
• Observation of anomalous π modes in photonic Floquet engineering
• Observation of topologically protected helical edge modes in Kagome elastic plates
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Subwavelength and directional control of flexural waves in zone-folding induced topological plates
• Experimental band structure spectroscopy along a synthetic dimension
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Photonic spin lattices: symmetry constraints for skyrmion and meron topologies
• Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Model for Topological Phononics and Phonon Diode
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Dynamical moments reveal a topological quantum transition in a photonic quantum walk
• Brillouin light scattering by magnetic quasi-vortices in cavity optomagnonics
• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Edge states and topological pumping in elastic lattices with periodically modulated coupling
• Topological Magnons in Kitaev Magnets at High Fields
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Topological one-way large-area waveguide states in magnetic photonic crystals
• Topological magnetoplasmon
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Observation and control of nonlinear electromagnetic topological edge states
• Band structure engineering and reconstruction in electric circuit networks
• Reprogrammable plasmonic topological insulators with ultrafast control
• Acoustic type-II Weyl nodes from stacking dimerized chains
• Topological Edge Plasmon Modes between Diatomic Chains of Nanoparticles
• Singularities and Poincaré Indexes of Electromagnetic Multipoles
• Topological phases without crystalline counterparts
• Pseudomagnetic fields for sound at the nanoscale
• Topological light-trapping on a dislocation
• Topological non-Hermitian origin of surface Maxwell waves
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Quantum interference of topological states of light
• Controlling mass and energy diffusion with metamaterials
• Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
• Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
• A brief review of topological photonics in one, two, and three dimensions
• Optical circulation in a multimode optomechanical resonator
• Snowflake Topological Insulator for Sound Waves
• The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit
• Observation of Edge Solitons in Photonic Graphene
• Knotted Non-Hermitian Metals
• Non-Hermitian Topological Anderson Insulators
• Observation of miniaturized bound states in the continuum with ultra-high quality factors
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system
• Observation of topological magnon insulator states in a superconducting circuit
• Measurement of the Zak phase of photonic bands through the interface states of metasurface/photonic crystal
• Experimental observation of temporal pumping in electro-mechanical waveguides
• Topological quantum fluctuations and travelling wave amplifiers
• Non-Hermitian gauged topological laser arrays
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Topological tight-binding models from non-trivial square roots
• Experimental demonstration of an anisotropic exceptional point
• Topological Insulators by Topology Optimization
• A perspective on topological nanophotonics: current status and future challenges
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Nanoscale magnetophotonics
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Vectorial light-matter interaction -- exploring spatially structured complex light fields
• Topological one-way fiber of second Chern number
• Optical Fourier surfaces
• Topolectric circuits: Theory and construction
• Scattering-Free Optical Edge States between Heterogeneous Photonic Topological Insulators
• Reconfigurable Topological Photonic Crystal
• Bulk-edge correspondence for topological photonic continua
• Four-wave Mixing of Topological Edge Plasmons in Graphene Metasurfaces
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Perovskite quantum dot topological laser
• Dirac magnons in a honeycomb lattice quantum XY magnet CoTiO3
• Observation of novel topological states in hyperbolic lattices
• Guiding waves along an infinitesimal line between impedance surfaces
• Spectral photonic lattices with complex long-range coupling
• Composite Weyl nodes stabilized by screw symmetry with and without time reversal
• Optical isolation with nonlinear topological photonics
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Valley based splitting of topologically protected helical waves in elastic plates
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Geometry-Invariant Resonant Cavities
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• High-dimensional frequency crystals and quantum walks in electro-optic microcombs
• Toroidal dipole induced transparency for core-shell nanoparticles
• Reconfigurable topological phases in next-nearest-neighbor coupled resonator lattices
• Valley kink states and topological channel intersections in substrate-integrated photonic circuitry
• Higher-order photonic topological states in surface-wave photonic crystals
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• 4D spinless topological insulator in a periodic electric circuit
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Topological phase singularities in atomically thin high-refractive-index materials
• Exceptional Points in a Non-Hermitian Topological Pump
• Topological Thermoelectricity in Metals
• Tunable light flow control in valley photonic crystal waveguide
• Spin Textures of Polariton Condensates in a Tunable Microcavity with Strong Spin-Orbit Interaction
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• Many-body approach to non-Hermitian physics in fermionic systems
• Synthetic photonic lattices: new routes towards all-optical photonic devices
• Sonic Landau-level lasing and synthetic gauge fields in mechanical metamaterials
• Multipolar interference effects in nanophotonics
• Topological insulators and semimetals in classical magnetic systems
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Topological interface modes in local resonant acoustic systems
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
• Experimental Observation of Efficient Nonreciprocal Mode Transitions via Spatiotemporally-Modulated Acoustic Metamaterials
• Elastic quantum spin-Hall effect in Kagome lattices
• Observation of an unpaired photonic Dirac point
• Amorphous photonic topological insulator
• Experimental observation of topological exciton-polaritons in transition metal dichalcogenide monolayers
• Peculiar electronic states, symmetries and Berry phases in irradiated $\alpha$-$T_3$ materials
• Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals
• Photonic Anomalous Quantum Hall Effect
• Topological Andreev bands in three-terminal Josephson junctions
• Topological transitions in continuously-deformed photonic crystals
• Topological Frequency Combs and Nested Temporal Solitons
• Angle-resolved cathodoluminescence imaging polarimetry
• Observation of Gigahertz Topological Valley Hall Effect in Nanoelectromechanical Phononic Crystals
• Cavity Quantum Electrodynamics with Second-Order Topological Corner State
• Tamm plasmon polariton in planar structures: A brief overview and applications
• Lasing at the K-points of a honeycomb plasmonic lattice
• Experimental demonstration of topological waveguiding in elastic plates with local resonators
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Topological edge states of bound photon pairs
• Topological metasurface: From passive toward active and beyond
• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• Automorphic Bloch theorems for hyperbolic lattices
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Topologically protected Dirac plasmons in graphene
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective
• Topological unidirectional guided resonances emerged from interband coupling
• Drift-induced Unidirectional Graphene Plasmons
• Landau-Zener Transition in Topological Acoustic Pumping
• Topological nodal states in circuit lattice
• Second-harmonic generation via double topological valley-Hall kink modes in all-dielectric photonic crystals
• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
• Tuning the Berry curvature in 2D Perovskite
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Acoustic Möbius insulators from projective symmetry
• Non-Hermitian topology of spontaneous magnon decay
• Plexcitons: Dirac points and topological modes
• A dissipative time crystal in an asymmetric non-linear photonic dimer
• Topological circuits of inductors and capacitors
• Lieb polariton topological insulators
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Coherent control of quantum topological states of light in Fock-state lattices
• Lasing from complete set of topological states in two dimensional photonic crystal structure
• Non-Abelian braiding of light
• Observation of edge solitons in topological trimer arrays
• Higher-order Dirac sonic crystals
• Topological dislocation modes in three-dimensional acoustic topological insulators
• Chirality of topological gap solitons in bosonic dimer chains
• Experimental Realization of a Reconfigurable Electroacoustic Topological Insulator
• Interacting quantum fluid in a polariton topological insulator
• Non-Abelian gauge field optics
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Topological lasing and self-induced transparency in two level systems
• Two-Dimensional Photonic Crystals for Engineering Atom-Light Interactions
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• Floquet Chern Insulators of Light
• PTD Symmetry Protected Scattering Anomaly in Optics
• Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
• Non-reciprocal sound propagation in space-time modulated media
• Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator
• High capacity topological coding based on nested vortex knots and links
• Topological Phononic Logic
• On the robustness of topological corner modes in photonic crystals
• Nonlinear imaging of nanoscale topological corner states
• Four-Dimensional Higher-Order Chern Insulator and Its Acoustic Realization
• Experimental Observation of Acoustic Weyl Points and Topological Surface States
• Selective mode conversion and rainbow trapping via graded elastic waveguides
• Topological networks for quantum communication between distant qubits
• Topolectrical-circuit realization of 4D hexadecapole insulator
• Simultaneous Multi-frequency Topological Edge Modes between One-dimensional Photonic Crystals
• Nonlinear imaging of nanoscale topological corner states
• Topological phases in Kitaev chain with imbalanced pairing
• Novel topological beam-splitting in photonic crystals
• Photonic time crystals: Theory and applications
• Three-dimensional photonic Dirac points stabilized by point group symmetry
• Bulk and edge spin transport in topological magnon insulators
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• First-principle calculation of Chern number in gyrotropic photonic crystals
• Roadmap for Photonics with 2D Materials
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• On-chip detection of spin-selective routing in plasmonic nanocircuits
• Observation of quadratic Weyl points and double-helicoid arcs
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic network
• Anomalous bulk-edge correspondence in continuous media
• Topological Quantum Batteries
• Topological carbon materials: a new perspective
• Geared topological metamaterials with tunable mechanical stability
• Nonreciprocal State Conversion between Microwave and Optical Photons
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Fluctuation-induced forces on an atom near a photonic topological material
• Rabi resonance splitting phenomena in photonic integrated circuits
• Topological theory of non-Hermitian photonic systems
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Tunable quantum interference using a topological source of indistinguishable photon pairs
• Quantized classical response from spectral winding topology
• Topological Zak Phase in Strongly-Coupled LC Circuits
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Photonic Dirac monopoles and skyrmions: spin-1 quantization
• Topological photonics: from crystals to particles
• Type-II Dirac Photons
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Observation of Antichiral Edge States in a Circuit Lattice
• Bilayer Photonic Graphene
• Topological Marker Currents in Chern Insulators
• Twisted quadrupole topological photonic crystals
• Collective modes in nodal line semimetals
• Definite photon deflections of topological defects in metasurfaces and symmetry-breaking phase transitions with material loss
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Non-Hermitian Topological Phases: Principles and Prospects
• Spectral imaging of topological edge states in plasmonic waveguide arrays
• A Universal Mirror-stacking Approach for Constructing Topological Bound States in the Continuum
• Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
• Vector Topological Edge Solitons in Floquet Insulators
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Anderson localization of electromagnetic waves in three dimensions
• Topological magnon bands in a room temperature Kagome magnet
• Topological transport of sound mediated by spin-redirection geometric phase
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Optical gyrotropy from axion electrodynamics in momentum space
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• Higher-order Dirac Semimetal in a Photonic Crystal
• Topologically robust transport of entangled photons in a 2D photonic system
• Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
• Dirac-vortex topological photonic crystal fibre
• Nonlocal effects and enhanced nonreciprocity in current-driven graphene systems
• Brillouin Klein Bottle From Artificial Gauge Fields
• Frequency-dependent topological phases and photonic detouring in valley photonic crystals
• Topological phases of polaritons in a cavity waveguide
• Unveiling the link between fractional Schrödinger equation and light propagation in honeycomb lattice
• Parametric Instability Rates in Periodically-Driven Band Systems
• Non-Hermitian Photonic Lattices: tutorial
• Antihelical Edge States in Two-dimensional Photonic Topological Metals
• Inverse design of higher-order photonic topological insulators
• Wireless power transfer via topological modes in dimer chains
• Mechanical analogue of a Majorana bound state
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Self-induced topological transition in phononic crystals by nonlinearity management
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Demonstration of topological wireless power transfer
• Dial-in Topological Metamaterials Based on Bistable Stewart Platform
• Z_2 Photonic topological insulators in the visible wavelength range for robust nanoscale photonics
• Anti-chiral edge states in an exciton polariton strip
• Topology and the optical Dirac equation
• Anomalous Topological Active Matter
• A topological photonic ring-resonator for on-chip channel filters
• Physical Violations of the Bulk-Edge Correspondence in Topological Electromagnetics
• Chiral phonons and pseudo-angular momentum in non-symmorphic systems
• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• Nonlinear non-Hermitian higher-order topological laser
• PT Symmetric Floquet Topological Phase
• Nonreciprocal transport based on cavity Floquet modes in optomechanics
• Room-temperature continuous-wave Dirac-vortex topological lasers on silicon
• Unidirectional and diffractionless surface plasmon-polaritons on three-dimensional nonreciprocal plasmonic platforms
• Nonlinear dynamics of Aharonov-Bohm cages
• Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Topological Valley Hall Edge State Lasing
• Theory of Topological Corner State Laser in Kagome Waveguide Arrays
• Symmetry protected topological phases characterized by isolated exceptional points
• Edge Solitons in Lieb Topological Floquet Insulators
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Topological Phase Transition Independent of System Non-Hermiticity
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• All-dielectric metasurfaces with trapped modes: group-theoretical description
• Quantum simulation for three-dimensional chiral topological insulator
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Observation of nonlinear disclination states
• Geometrically navigating topological platonic modes around gentle and sharp bends
• Layered Photonic Topological Insulators
• Mapping the Design Space of Photonic Topological States via Deep Learning
• Topological phases of quantized light
• Theory of the coherence of topological lasers
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• A Semiconductor Topological Photonic Ring Resonator
• Fermionic time-reversal symmetry in a photonic topological insulator
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Plasmon-polaritonic quadrupole topological insulators
• Continuous bulk and interface description of topological insulators
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Topological dipole Floquet solitons
• Topological Phases in Magnonics
• Tamm plasmon Photonic Crystals : from Bandgap Engineering to Defect Cavity
• On orbital angular momentum conservation in Brillouin light scattering within a ferromagnetic sphere
• Observation of topological frequency combs
• Topological multiband photonic superlattices
• Dissipative Floquet Dynamical Quantum Phase Transition
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
• Non-Reciprocal and Collimated Surface Plasmons in Drift-biased Graphene Metasurfaces
• Topological thermal transport
• A comprehensive review on developments of synthetic dimensions
• Experimental demonstration of the robust end state in a split-ring-resonator chain
• The effects of three-dimensional defects on one-way surface plasmon propagation for photonic topological insulators comprised of continuous media
• Localization, topology and quantized transport in disordered Floquet systems
• Zak phase and band inversion in dimerized one-dimensional locally resonant metamaterials
• Nonlinear states and dynamics in a synthetic frequency dimension
• Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
• On-Chip Optical Skyrmionic Beam Generators
• Non-Abelian effects in dissipative photonic topological lattices
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Photonic corner skin modes
• Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• A non-Hermitian optical atomic mirror
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• Topological Angular Momentum and Radiative Heat Transport in Closed Orbits
• Phase spectroscopy of topological invariants in photonic crystals
• Topological insulators in longitudinally driven waveguides: Lieb and Kagome lattices
• Topological plasmons in dimerized chains of nanoparticles: robustness against long-range quasistatic interactions and retardation effects
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Topological Invariants in Point Group Symmetric Photonic Topological Insulators
• Zoology of non-Hermitian spectra and their graph topology
• Non-Hermitian bidirectional robust transport
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Classical Dynamical Gauge Fields in Optomechanics
• Large-area quantum-spin-Hall waveguide states in a three-layer topological photonic crystal heterostructure
• Observation of Dirac hierarchy in three-dimensional acoustic topological insulators
• L lines, C points and Chern numbers: understanding band structure topology using polarization fields
• Floquet engineering to exotic topological phases in systems of cold atoms
• Hybrid exceptional point created from type III Dirac point
• Type-II Dirac photons at the metasurfaces
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Topological Heat Transport and Symmetry-Protected Boson Currents
• The Nature of Topological Protection in Spin and Valley Hall Insulators
• State-recycling and time-resolved imaging in topological photonic lattices
• Topological Field Theory far from Equilibrium
• Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
• Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
• Evolution and global charge conservation for polarization singularities emerging from nonhermitian degeneracies
• Stabilizing multiple topological fermions on a quantum computer
• Giant effective Zeeman splitting in a monolayer semiconductor realized by spin-selective strong light-matter coupling
• Finite size effects on topological interface states in one-dimensional scattering systems
• Topological acoustics in coupled nanocavity arrays
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
• Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial
• Transport tuning of photonic topological edge states by optical cavities
• Topological input-output theory for directional amplification
• Space-group theory of photonic bands
• Higher winding number in a non-unitary photonic quantum walk
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Smart patterning for topological pumping of elastic surface waves
• Experimental observation of non-Abelian earring nodal links in phononic crystals
• Interfacial waveforms in chiral lattices with gyroscopic spinners
• Theory of intrinsic propagation losses in topological edge states of planar photonic crystals
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• Photonic Chern insulator through homogenization of an array of particles
• Chiral edge mode in the coupled dynamics of magnetic solitons in a honeycomb lattice
• Steady-state Hall response and quantum geometry of driven-dissipative lattices
• Topological spin-Hall edge states of flexural wave in perforated metamaterial plates
• Geometry-dependent skin effects in reciprocal photonic crystals
• Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Topologically protected Fano resonance in photonic valley Hall insulators
• Robust entanglement with 3D nonreciprocal photonic topological insulators
• Edge states in a two-dimensional honeycomb lattice of massive magnetic skyrmions
• Classification of time-reversal-invariant crystals with gauge structures
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Exciting Pseudospin Dependent Edge States in Plasmonic Metasurfaces
• Kagome Lattice from Exciton-Polariton Perspective
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Spin Hall effect of light in a random medium
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Designing topological interface states in phononic crystals based on the full phase diagrams
• Nonreciprocal Signal Routing in an Active Quantum Network
• Theory of chiral edge state lasing in a two-dimensional topological system
• Universal momentum-to-real-space mapping of topological singularities
• Topological photon pairs in a superconducting quantum metamaterial
• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Spontaneous lateral atomic recoil force close to a photonic topological material
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
• An operator-based approach to topological photonics
• Optically reconfigurable quantum spin-valley Hall effect of light in coupled nonlinear ring resonator lattice
• Topological valley transport under long-range deformations
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Braid Protected Topological Band Structures with Unpaired Exceptional Points
• Quantum metric contribution to the pair mass in spin-orbit coupled Fermi superfluids
• Realization of Zero-Refractive-Index Lens with Ultralow Spherical Aberration
• Anomalous Quadrupole Topological Insulators in 2D Nonsymmorphic Sonic Crystals
• Limits of topological protection under local periodic driving
• Deterministic scheme for two-dimensional type-II Dirac points and experimental realization in acoustics
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Topological slow light via coupling chiral edge modes with flat bands
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Topological Ring-Cavity Laser Formed by Honeycomb Photonic Crystals
• Nonreciprocal and non-Hermitian material response inspired by semiconductor transistors
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy
• Directional mechanical response in the bulk of topological metamaterials
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Angular-dependent Klein tunneling in photonic graphene
• Topological classification of Chern-type insulators with the photonic Green function
• Localizing softness and stress along loops in three-dimensional topological metamaterials
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Topologically Enabled Ultralarge Purcell Enhancement Robust to Photon Scattering
• Line Singularities and Hopf Indices of Electromagnetic Multipoles
• Valley controlled propagation of pseudospin states in bulk metacrystal waveguides
• Observation of nonlinear fractal higher-order topological insulator
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Topological Anderson phase in quasi-periodic waveguide lattices
• Efficient excitation and tuning of toroidal dipoles within individual homogenous nanoparticles
• Measuring topological invariants in polaritonic graphene
• Bragg solitons in topological Floquet insulators
• Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
• Robust surface plasmon polaritons on gyrotropic interfaces
• Topological phase transition measured in a dissipative metamaterial
• Chern insulators for electromagnetic waves in electrical circuit networks
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Switchable and unidirectional plasmonic beacons in hyperbolic 2D materials
• Topological photonic alloy
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Topological states in arrays of optical waveguides engineered via mode interference
• Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
• Topological edge states for disordered bosonic systems
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Guiding, bending, and splitting of coupled defect surface modes in a surface-wave photonic crystal
• Floquet topological insulator laser
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Topological dynamics and excitations in lasers and condensates with saturable gain or loss
• Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Dirac phonons in two-dimensional materials
• Topological photonic orbital angular momentum switch
• Statistical PT-symmetric lasing in an optical fiber network
• Topologically protected pseudospins in 2D spring-mass system
• Second Chern crystals in four-dimensional synthetic translation space with inherently nontrivial topology
• Interlayer Topological Transport and Devices based on Layer Pseudospins in Photonic Valley-Hall Phases
• Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
• Exciting Reflectionless Unidirectional Edge Modes in a Reciprocal Photonic Topological Insulator Medium
• Chiral light-matter interactions using spin-valley states in transition metal dichalcogenides
• Abnormal topological refraction into free medium at sub-wavelength scale in valley phononic crystal plates
• Valley-Hall topological plasmons in a graphene nanohole plasmonic crystal waveguide
• Quantum Antennas
• Engineering a U(1) lattice gauge theory in classical electric circuits
• Suppression of coherence collapse in semiconductor Fano lasers
• Mathematical theory for topological photonic materials in one dimension
• Spontaneous and Superfluid Chiral Edge States in Exciton-Polariton Condensates
• Dark topological valley Hall edge solitons
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Magnetic transitions in the topological magnon insulator Cu(1,3-bdc)
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Topological Anderson insulators induced by random binary disorders
• Topology of Triple-Point Metals
• Classifying topology in photonic heterostructures with gapless environments
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Hybrid topological guiding mechanisms for photonic crystal fibers
• Amorphous topological phases protected by continuous rotation symmetry
• Nonlinear Dirac Cones
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Non-Abelian charged nodal links in dielectric photonic crystal
• The topological counterparts of non-Hermitian SSH models
• Tuning insulator-semimetal transitions in 3D topological insulator thin films by inter-surface hybridization and in-plane magnetic fields
• Liquid-crystal-based topological photonics
• Transverse spinning of light with globally unique handedness
• Frequency tunable topological edge states of two-dimensional honeycomb lattice photonic crystals
• Observation of topological gravity-capillary waves in a water wave crystal
• Topological origin of electromagnetic energy sinks
• Accelerating Polaritons with External Electric and Magnetic Fields
• Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Topological valley plasmon transport in bilayer graphene metasurfaces for sensing applications
• General Theory of Momentum-Space Nonsymmorphic Symmetry
• Metasurfaces with bound states in the continuum enabled by eliminating first Fourier harmonic component in lattice parameters
• Multiphoton resonance and chiral transport in the generalized Rabi model
• Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
• GTPack: A Mathematica group theory package for application in solid-state physics and photonics
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
• Higher-order valley vortices enabled by synchronized rotation in a photonic crystal
• Location and topology of the fundamental gap in photonic crystals
• Flying doughnut terahertz pulses generated from semiconductor currents
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Observation of non-Hermitian antichiral edge currents
• Topology-optimized Dual-Polarization Dirac Cones
• Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays
• Supersymmetric polarization anomaly in photonic discrete-time quantum walks
• Radiative topological biphoton states in modulated qubit arrays
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Topologically protected generation of spatiotemporal optical vortices with nonlocal spatial-mirror-symmetry-breaking metasurface
• Magnonic Weyl states in Cu2OSeO3
• Space-Time Phononic Crystals with Anomalous Topological Edge States
• Dynamics of Weyl quasiparticles emerged in an optical lattice
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Dissipative analog of four-dimensional quantum Hall physics
• Interacting Stochastic Topology and Mott Transition from Light Response
• Interaction-induced topological states of photon pairs
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Topological polaritons from photonic Dirac cones coupled to excitons in a magnetic field
• Nonlinear photonic disclination states
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Overcoming the efficiency-bandwidth tradeoff for optical harmonics generation using nonlinear time-variant resonators
• No-go theorem for topological insulators and sure-fire recipe for Chern insulators
• Photonic analogues of the Haldane and Kane-Mele models
• Topological Floquet edge states in periodically curved waveguides
• Optical response of two-dimensional Dirac materials with a flat band
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
• Chiral 1D Floquet topological insulators beyond rotating wave approximation
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Optical torque on a two-level system near a strongly nonreciprocal medium
• Topological invariants for Floquet-Bloch systems with chiral, time-reversal, or particle-hole symmetry
• Unidirectional scattering with spatial homogeneity using photonic time disorder
• Topological proximity effects in a Haldane-graphene bilayer system
• Realization of exciton-mediated optical spin-orbit interaction in organic microcrystalline resonators
• Observation of twist-induced geometric phases and inhibition of optical tunneling via Aharonov-Bohm effects
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Tight-binding lattices with an oscillating imaginary gauge field
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Robust mode conversion in NV centers using exceptional points
• Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
• Topological edge states of Kekulé-type photonic crystals induced by a synchronized rotation of unit cells
• Hyperbolic Nodal Band Structures and Knot Invariants
• Topological phase in plasma physics
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Plasmonic nonreciprocity driven by band hybridization in moiré materials
• Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description
• Quantized Angular Momentum in Topological Optical Systems
• Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
• Recent advances in terahertz photonic technologies based on graphene and their applications
• Chirality in photonic systems
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Topological Microlaser with A non-Hermitian Topological Bulk
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Topological quantization of energy transport in micro- and nano-mechanical lattices
• Rabi-like oscillation of photonic topological valley Hall edge states
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Direct optical probe of magnon topology in two-dimensional quantum magnets
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Indifferent electromagnetic modes: bound states and topology
• Absence of topological protection of the interface states in ${\mathbb{Z}}_2$ photonic crystals
• Optimization and robustness of topological corner state in second-order topological photonic crystal
• Scattering invisibility with free-space field enhancement of all-dielectric nanoparticles
• Topological Node-Lines in Mechanical Metacrystals
• Intersecting topological nodal ring and nodal wall states in superhard superconductor FeB4
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles
• Plasmonic edge states: an electrostatic eigenmode description
• Bi-hyperbolic isofrequency surface in a magnetic-semiconductor superlattice
• Engineering topological edge states in two dimensional magnetic photonic crystal
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials
• Resonators with tailored optical path by cascaded-mode conversions
• Realization of time-reversal invariant photonic topological Anderson insulators
• Circularly polarized topological edge states derived from optical Weyl points in semiconductor-based chiral woodpile photonic crystals
• Magnetically-defined topological edge plasmons in edgeless electron gas
• Topological quantum paramagnet in a quantum spin ladder
• Floquet quadrupole photonic crystals protected by space-time symmetry
• Customizing pseudospin unidirectional states of acoustic and electromagnetic waves in two-dimensional phoxonic topological insulators via multi-objective strategies
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Photonic Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
• Bloch oscillations of topological edge modes
• Disorder-induced topological transitions in multichannel Majorana wires
• Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays
• Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
• Probing multi-mobility edges in quasiperiodic mosaic lattices
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Link between the photonic and electronic topological phases in artificial graphene
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Design of GaAs-based valley phononic crystals with multiple complete phononic bandgaps at ultra-high frequency
• Photonic Berry curvature in double liquid crystal microcavities with broken inversion symmetry
• Non-Bloch band theory for non-Hermitian continuum systems
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Topological phase transition and interface states in hybrid plasmonic-photonic systems
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• On-chip unidirectional waveguiding for surface acoustic waves along a defect line in a triangular lattice
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Constructing higher-order topological states in higher dimension
• Valley Hall edge solitons in a photonic graphene
• Topological photonic Su-Schrieffer-Heeger-type coupler
• Synthetic magnetism for photon fluids
• Characterization of edge states in perturbed honeycomb structures
• Topological near-field heat flow in a honeycomb lattice
• Distortionless pulse transmission in valley photonic crystal slab waveguide
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Quantum decay in a topological continuum
• Topological charge of finite-size photonic crystal modes
• Quantum Entangled Fractional Topology and Curvatures
• Universal driving protocol for symmetry-protected Floquet topological phases
• Polaritonic Tamm states induced by cavity photons
• Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference
• Time-reversal symmetric topological metal
• Polaritonic Chern insulators in monolayer semiconductors
• Photonic realization of topologically protected bound states in domain-wall waveguide arrays
• Non-hermitian topology in multiterminal superconducting junctions
• Observation of nonlinearity-controlled switching of topological edge states
• Conical intersections for light and matter waves
• Chern Invariants of Topological Continua; a Self-Consistent Nonlocal Hydrodynamic Model
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Floquet Edge Multicolor Solitons
• Weyl points and topological surface states in a three-dimensional elastic lattice
• Light-matter interactions near photonic Weyl points
• Plasmonic modes at inclined edges of anisotropic 2D materials
• Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance and experimental verification
• Waveguide photonic limiters based on topologically protected resonant modes
• Surface modes in plasmonic Bragg fibers with negative average permittivity
• Ill-defined Topological Phases in Dispersive Photonic Crystals
• Floquet Topological Polaritons in Semiconductor Microcavities
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Generation and Tunability of Supermodes in Tamm Plasmon Topological Superlattices
• Realizing a symmetry protected topological phase through dimerized interactions
• Polaritonic Quantum Matter
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• Universal semiclassical equations based on the quantum metric
• Topological nanophotonics for photoluminescence control
• Topological properties of two-dimensional photonic square lattice without $C_4$ and $M_{x(y)}$ symmetries
• Supersymmetry "protected" topological phases of isostatic lattices and kagome antiferromagnets
• A large-scale single-mode array laser based on a topological edge mode
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• Topological transitions and Anderson localization of light in disordered atomic arrays
• Towards Topological Protection based millimetre wave devices
• Vector valley Hall edge solitons in superhoneycomb lattices
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• Edge-following topological states
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Quasicrystalline Weyl points and dense Fermi-Bragg arcs
• Synthetic gauge fields for light beams in optical resonators
• Probing topological phases in waveguide superlattices
• Experimental demonstration of non-adjacent band topology connecting multiple nodal links
• Acceleration toward polarization singularity inspired by relativistic ExB drift
• Doublons, topology and interactions in a one-dimensional lattice
• Coherent control of topological states in an integrated waveguide lattice
• Lattice topology dictates photon statistics
• Geometric phase and o-mode blue shift in a chiral anisotropic medium inside a Fabry-Pérot cavity
• Wideband tunable infrared topological plasmon polaritons in dimerized chains of doped-silicon nanoparticles
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Hofstadter Butterfly Evolution in the Space of Two-Dimensional Bravais Lattices
• Topological Edge-State Manifestation of Interacting 2D Condensed Boson-Lattice Systems in a Harmonic Trap
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Plasmons in two-dimensional lattices of near-field coupled nanoparticles
• Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene
• Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
• Non-Hermitian topological ohmmeter
• Real-space probe for lattice quasiholes
• Topological plasma transport from a diffusion view
• Stochastic band structure for waves propagating in periodic media or along waveguides
• Coupled Topological Surface Modes in Gyrotropic Structures: Green's Function Analysis
• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Temperature-Induced Magnonic Chern Insulator in Collinear Antiferromagnets
• Kagome metals
• Observation of chiral edge transport in a rapidly-rotating quantum gas
• Experimental demonstration of position-controllable topological interface states in high-frequency topological integrated circuits
• Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic Medium
• Photonic nodal lines with quadrupole Berry curvature distribution
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Topological edge state engineering with high-frequency electromagnetic radiation
• Global Mie Scattering
• Observing 0D subwavelength-localized modes at ~100 THz protected by weak topology
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Period-doubled Floquet Solitons
• Highly degenerate photonic flat bands arising from complete graph configurations
• High-Frequency Exciton-Polariton Clock Generator
• Floquet edge solitons in modulated trimer waveguide arrays
• Driven-dissipative topological phases in parametric resonator arrays
• Topological Edge Mode Tapering
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Realising Type II Weyl Points in an Optical Lattice
• Visualizing higher-fold topology in chiral crystals
• Topological photonics on superconducting quantum circuits with parametric couplings
• High-degeneracy points protected by site-permutation symmetries
• Enhancement of photon blockade via topological edge states
• Measuring the Aharonov-Anandan phase in photonics
• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
• Multivalley engineering in semiconductor microcavities
• Near-zero index magneto-optical medium realized with an unpaired Dirac point
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers
• Non-Hermitian topological phases and skin effects in kagome lattices
• Active Physics Informed Deep Learning: Surrogate Modeling for Non Planar Wavefront Excitation of Topological Nanophotonic Devices
• Babinet-Complementary Structures for Implementation of Pseudospin-Polarized Waveguides
• Topological edge states in equidistant arrays of Lithium Niobate nano-waveguides
• Inducing and controlling rotation on small objects using photonic topological materials
• Optimizing the chiral Purcell factor for unidirectional single photon emitters in topological photonic crystal waveguides using inverse design
• Two-point spectroscopy of Fibonacci topoelectrical circuits
• Higher-order topological and nodal superconducting transition-metal sulfides MS (M = Nb and Ta)
• Terahertz topological plasmon polaritons for robust temperature sensing
• Efficient computation of the $W_3$ topological invariant and application to Floquet-Bloch systems
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Observation of gapless corner modes in synthetic translation dimensions
• Tensor monopoles and negative magnetoresistance effect in optical lattices
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Topological Edge and Corner States in Biphenylene Network
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Dynamical Detection of Topological Spectral Density
• Topological protection can arise from thermal fluctuations and interactions
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Asymmetric Cherenkov Emission in a Topological Plasmonic Waveguide
• Observation of Single Pair of Type-III Weyl Points in Sonic Crystals
• One-way reflection-free exciton-polariton spin filtering channel
• Wave packet dynamics in slowly modulated photonic graphene
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Polariton vortex Chern insulator
• Topological Modes in One Dimensional Solids and Photonic Crystals
• Modeling the optical properties of Twisted Bilayer Photonic Crystals
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Topological Protection and Control of Quantum Markovianity
• Observation of period-doubling Bloch oscillations
• Homogeneous Dislocation-Induced Rainbow Concentrating for Elastic Waves
• Optical control of topological end states via soliton formation in a 1D lattice
• Demonstration of non-Abelian frame charge flow in photonic crystals
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• 2D material exciton-polariton transport on 2D photonic crystals
• Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
• Transport study of the wormhole effect in three-dimensional topological insulators
• Selective and tunable excitation of topological non-Hermitian skin modes
• Topological Theory for Perfect Metasurface Isolators
• Relaying Topological Interface States for Negative Refraction of Bulk Waves
• Asymmetric transport computations in Dirac models of topological insulators
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Topological quantum optical states in quasiperiodic cold atomic chains
• Non-singular and singular flat bands in tunable acoustic metamaterials
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Unidirectional light transport in dynamically modulated waveguides
• Indium Antimonide, constraints on practicality as a magneto-optical platform for topological surface plasmon polaritons
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• Direct observation of energy band attraction effect in non-Hermitian systems
• Effective Floquet model for minimally twisted bilayer graphene
• Valley-dependent topological edge states in plasma photonic crystals
• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Controlling light emission by engineering atomic geometries in silicon photonics
• Periodic Clifford symmetry algebras on flux lattices
• Phononic drumhead surface state in distorted kagome compound RhPb
• Observation of nonlinear topological corner states originating from different spectral charges
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Fisher-Information Efficient Metagratings for Transverse Displacement Metrology at the Measurement Independent Shot-Noise Limit
• Controllable distant interactions at bound state in the continuum
• Lateral recoil optical forces on nanoparticles near nonreciprocal surfaces
• Topological Materials for Near-Field Radiative Heat Transfer
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Simulating Floquet topological phases in static systems
• Quantum topology in the ultrastrong coupling regime
• Two Classes of Singularities and Novel Topology in a Specially Designed Synthetic Photonic Crystals
• Topological edge states of nonequilibrium polaritons in hollow honeycomb arrays
• Helical transport in coupled resonator waveguides
• Inverse Design of Unitary Transmission Matrices in Silicon Photonic Coupled Waveguide Arrays using a Neural Adjoint Model
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Application of topological edge states in magnetic resonance imaging
• Topological Polarisation States
• Topological protection in nonlinear optical dynamics with parity-time symmetry
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Anomalous criticality with bounded fluctuations and long-range frustration induced by broken time-reversal symmetry
• Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Strong magneto-optical response enabled by quantum two level systems
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Structure of surface electronic states in strained mercury telluride
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Energy density as a probe of band representations in photonic crystals
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• A topological Dirac-vortex parametric phonon laser
• Normal and superfluid fractions of inhomogeneous nonequilibrium quantum fluids
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Magnetization dynamics in magnonic structures with different geometries: interfaces, notches and waveguides
• An eigenvalue approach to quantum plasmonics based on a self-consistent hydrodynamics method
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Ground state topology of a four-terminal superconducting double quantum dot
• Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
• All-optical control of topological valley transport in graphene metasurfaces
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• Supersymmetric non-Hermitian topological interface laser
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Realization of Z${}_2$ topological photonic insulators made from multilayer transition metal dichalcogenides
• Kibble-Zurek mechanism in polariton graphene
• Generic Optical Singularities in Brewster-reflected Post-paraxial Beam-fields
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Disorder-Protected Quantum State Transmission through Helical Coupled-Resonator Waveguides
• Ultra-subwavelength focusing and giant magnetic-field enhancement in a low-loss one-way waveguide based on remanence
• PC-symmetry-protected edge states in interacting driven-dissipative bosonic systems
• 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
• Multipolar edge states in the breathing kagome model
• Non-Hermitian laser arrays with tunable phase locking
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Discrete Approximation of Topologically Protected Modes in Magneto-Optical Media
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Unidirectional wave propagation in media with complex principal axes
• Predicting topological materials: symmetry-based indicator theories and beyond
• Topological Insulators with Hybrid-order Boundary States
• Floquet Topological Dissipative Kerr Solitons and Incommensurate Frequency Combs
• Topological interface states mediated by spontaneous symmetry breaking
• Fractal Nodal Band Structures
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Floquet topological insulators with hybrid edges
• Wavepacket dynamics on Chern band lattices in a trap
• Topological crystalline protection in a photonic system
• Valley and Valley-like Split-ring Topological Photonic Crystal
• Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal
• Mode-selective Single-dipole Excitation and Controlled Routing of Guided Waves in a Multi-mode Topological Waveguide
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Topological Classical Systems with Generalized Chiral Symmetry
• Topological Corner Modes by Composite Wannier States in Glide-Symmetric Photonic Crystal
• Complete absorption of topologically protected waves
• Microwave hinge states in a simple-cubic-lattice photonic crystal insulator
• Momentum-Space Topological Effects of Nonreciprocity
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Band alignment effect in the topological photonic alloy
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Experimental probe of band structures of bilayer valley photonic crystals
• Topological Floquet bound states in the continuum
• Optically controllable coupling between edge and topological interface modes of graphene metasurfaces
• Optimal design of fast topological pumping
• Dirac operators and domain walls
• Evolution of orbital angular momentum in a soft quasi-periodic structure with topological defects
• Chiral magnetic effect of light
• Engineering metal-$s{p}_{xy}$ Dirac bands on the oxidized SiC surface
• Topological modes in relativistic hydrodynamics
• Non-Hermitian tuned topological band gap
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Topological Singularities in Metasurface Scattering Matrices: From Nodal Lines to Exceptional Lines
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Chiral states in coupled-lasers lattice by on-site complex potential
• Nonlinear signatures of Floquet band topology
• Realization of topological superlattices and the associated interface states in one-dimensional plasmonic crystals
• Energy polarization and energy pumping in Rice-Mele chains
• Relative homotopy approach to topological phases in quantum walks
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Topological phase in Kitaev chain with spatially separated pairing processes
• Upper bound of a band complex
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Hierarchical Topological States in Thermal Diffusive Networks
• Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides
• Topological edge solitons in \{chi}(2) waveguide arrays
• Origin of robust exceptional points: a restricted bulk zero mode
• Visualization of Photonic Band Structures via Far-field Measurements in SiNx Photonic Crystal Slabs
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Magnetless Circulators Based on Synthetic Angular-Momentum Bias: Recent Advances and Applications
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• Theory for electrical detection of the magnon Hall effect induced by dipolar interactions
• $\pi$-solitons on a ring of waveguides
• Geometry and Topological photonics
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• On the role of geometric phase in the dynamics of elastic waveguides
• Four-wave mixing Floquet topological soliton
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Enhanced Directional Quantum Emission by Tunable Topological Doubly-Resonant Cavities
• Cavity-induced backscattering in a two-dimensional photonic topological system
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Spectroscopy and topological properties of a Haldane light system
• Tuning bulk topological magnon properties with light-induced magnons
• Quantum Monte Carlo Study of Semiconductor Artificial Graphene Nanostructures
• Signature of edge states in resonant wave scattering
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Topological split-ring resonator based metamaterials with $\mathcal{P}\mathcal{T}$ symmetry relying on gain and loss
• Floquet valley Hall edge solitons
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• Observation of photonic spin-momentum locking due to coupling of achiral metamaterials and quantum dots
• Symmetry induced selective excitation of topological states in SSH waveguide arrays
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: gauge matters
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• Electromagnetic Scattering Resonances of Quasi-1D Nanoribbons
• Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
• Differences between quantum and classical adiabatic evolution
• Quantum cascade driving: Dissipatively mediated coherences
• Electromagnetic Duality Symmetry-Protected Dirac-Like Cones
• Breaking reciprocity by designed loss
• Manifestation of a topological gapless phase in a two-dimensional chiral symmetric system through Loschmidt echo
• Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend
• Tutorial: Topology, waves, and the refractive index
• Topological Order in Densely Packed Anisotropic Colloids
• Ring modes supported by concentrated cubic nonlinearity
• Floquet defect solitons
• Non-Hermitian physics and engineering in silicon photonics
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Moiré pattern of spin liquid and Neel magnet in a Kitaev chain
• Anisotropic exciton-polaritons reveal non-Hermitian topology in van der Waals materials
• Topological phase diagram of the Haldane model on a Bishamon-kikko--honeycomb lattice
• Analogue time machine in a photonic system
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Projective Spacetime Symmetry of Spacetime Crystals
• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• Brillouin Platycosms and Topological Phases
• Photonic Chern insulators from two-dimensional atomic lattices interacting with a single surface plasmon polariton
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Photonic emulation of two-dimensional materials with antiferromagnetic order
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• Emergent topological states via digital (001) oxide superlattices
• Excited-state dynamics of structurally characterized crystal of SnxSb1-x
• Topological Micro-Electro-Mechanical Systems
• Topological aspects in nonlinear optical frequency conversion
• Tilted Dirac Fermions
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Control of Plasmons in Topological Insulators via Local Perturbations
• Topological photonics by breaking the degeneracy of line node singularities in semimetal-like photonic crystals
• Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Topologically induced transparency in a two-phase metamaterial
• Quadratic solitons in higher-order topological insulators
• Thresholdless corner vortex solitons in fractal Sierpiński topological insulators
• Quantum transport in coupled resonators enclosed synthetic magnetic flux
• Magneto-optical induced supermode switching in quantum fluids of light
• One-dimensional Dexter-type excitonic topological phase transition
• Polariton Topological Insulators with Disclinations
• Klein Tunneling of Gigahertz Elastic Waves in Nanoelectromechanical Metamaterials
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Imaginary coupling induced Dirac points and group velocity control in non-reciprocal Hermitian Lattice
• Bulk properties of honeycomb lattices of superconducting microwave resonators
• Universal Routing of Light via Optical Thermodynamics
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Hybrid method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector pillars: formalism and its application to topological photonics
• Topology reconstruction for asymmetric systems by isomorphic mapping or perturbation approximation
• Harmonic generation in bent graphene with artificially-enhanced spin-orbit coupling
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Topological edge flows drive macroscopic re-organization in magnetic colloids
• From Bound States to Quantum Spin Models: Chiral Coherent Dynamics in Topological Photonic Rings
• Asymmetric topological pumping in nonparaxial photonics
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Photonic Nambu-Goldstone bosons
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• A topological transistor of waves via the Euler characteristic
• Quantum Signatures of Topological Phase in Bosonic Quadratic System
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Realization of chiral whispering gallery mode cavities enabled by photonic Chern insulators
• Inverse design of dual-band valley-Hall topological photonic crystals with arbitrary pseudospin states
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators
• Rotating topological edge solitons
• Geometric Phases for Classical and Quantum Dynamics: Hannay angle and Berry Phase for Loops on a Torus
• Degenerate Topological Edge States in Multimer Chains
• Magnetic doping-induced second-order and first-order topological phase transition inthe photonic alloy
• 3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies
• Recent progress on disorder-induced topological phases
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Topological transitions controlled by the interaction range
• Transmission in a Fano-Anderson chain with a topological defect
• Theory of quantum spin-Hall topological lasers
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Propagation of light through amplifying honeycomb photonic lattice
• Topological edge states of continuous Hamiltonians
• Current-induced nonreciprocity and refraction-free propagation in a one-dimensional graphene-based photonic crystal
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Analytic bulk-edge connection in circular-symmetric models
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice
• Dirac plasmon polaritons and magnetic modes in topological-insulator nanoparticles
• More on Topological Hydrodynamic Modes
• Effective Medium Perspective on Topological Transitions in Metamaterials
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Nonlinear dynamical topological phases in Cooper-pair box array
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide
• Photonic topological Anderson insulator in a two-dimensional atomic lattice
• Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral Systems
• Nonlinear topological symmetry protection in a dissipative system
• Interference-induced suppression of particle emission from a Bose-Einstein condensate in lattice with time-periodic modulations
• Helical boundary modes from synthetic spin in a plasmonic lattice
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Floquet states on disclinations
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Anti-higher-order Weyl semimetal
• Multiterminal Josephson junctions with tunable topological properties
• Topological optical and phononic interface mode by simultaneous band inversion
• Simulating monitoring-induced topological phase transitions with small systems
• Oscillating edge states in polariton topological insulators
• Dynamics of transport by helical edge states
• Topology of the simplest gene switch
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Asymmetric real topology of conduction and valence bands
• Beyond Decoherence: Control the Collective Quantum Dynamics of Quasi Particles in Topological Interface
• Triply-degenerate point in three-dimensional spinless systems
• The analytically tractable zoo of similarity-induced exceptional structures
• Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals
• Exceptional light propagation via generalized bulk-edge correspondence
• Entanglement entropy as a probe of topological phase transitions
• Phase fields in momentum space of photonic crystal slabs
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Non-Abelian gauge field optics in the time domain
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals
• Tunable multi-magnon Floquet topological edge states
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• Analytical solutions of topological surface states in a series of lattice models
• Nanoimprinted topological laser in the visible
• Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters
• Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
• Inelastic Scattering of Electron Beams by Nonreciprocal Nanotructures
• Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
• Topological transition induced by selective random defects on a honeycomb lattice
• Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Topology of orientational defects in confined smectic liquid crystals
• Theoretical description of interface states in a tetragonal lattice of bianisotropic resonators
• Topological Photonics on a Small Scale
• Layer-number parity induced topological phase transition
• Insensitive nonreciprocal edge breathers
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction
• Analytic density of states of two-dimensional Chern insulator
• Synchronized in-gap edge states and robust copropagation in topological insulators without magnetic flux
• Topological fine structure of smectic grain boundaries and tetratic disclination lines within three-dimensional smectic liquid crystals
• Floquet Engineering of Non-Equilibrium Superradiance
• Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas
• Nonlinear optical response of Type-II Weyl fermions in two dimensions
• Quantum phase transition of light in the dissipative Rabi-Hubbard lattice: A dressed-master-equation perspective
• Fractal Polariton Topological Insulator
• Lithium Niobate Photonic Topological Insulator-based Multi-Wavelength Optical Demultiplexer with Piezoelectric Switch-Off
• Zak Phase Dislocations in Trimer Lattices
• Nonreciprocal Local-Resonance Induced Complex Band Hybridization
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice
• Characterizing the transition from topology to chaos in a kicked quantum system
• Self-Accelerating Topological Edge States
• Equatorial magnetoplasma waves