Topological Photonics

Abstract

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and topological insulators in condensed matter, recent advances have shown how to engineer analogous effects also for photons, leading to remarkable phenomena such as the robust unidirectional propagation of light, which hold great promise for applications. Thanks to the flexibility and diversity of photonics systems, this field is also opening up new opportunities to realize exotic topological models and to probe and exploit topological effects in new ways. This article reviews experimental and theoretical developments in topological photonics across a wide range of experimental platforms, including photonic crystals, waveguides, metamaterials, cavities, optomechanics, silicon photonics, and circuit QED. A discussion of how changing the dimensionality and symmetries of photonics systems has allowed for the realization of different topological phases is offered, and progress in understanding the interplay of topology with non-Hermitian effects, such as dissipation, is reviewed. As an exciting perspective, topological photonics can be combined with optical nonlinearities, leading toward new collective phenomena and novel strongly correlated states of light, such as an analog of the fractional quantum Hall effect.

87 pages, 30 figures, published version

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• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Cavity Optomechanics
• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Photonics
• Topological Field Theory of Time-Reversal Invariant Insulators
• Photonic Floquet Topological Insulators
• Classification of topological quantum matter with symmetries
• Quantum information with Rydberg atoms
• Nonequilibrium dynamics of closed interacting quantum systems
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Type-II Weyl Semimetals
• Topological invariants of time-reversal-invariant band structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Spin-orbit interactions of light
• Experimental realisation of the topological Haldane model
• Edge states and topological invariants of non-Hermitian systems
• Quantum Spin Hall Effect
• Topological Crystalline Insulators
• Quantum fluids of light
• Artificial gauge potentials for neutral atoms
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Periodic table for topological insulators and superconductors
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Imaging topological edge states in silicon photonics
• Topological nodal semimetals
• Chiral Quantum Optics
• Scheme to Achieve Silicon Topological Photonics
• Colloquium: Topological Band Theory
• Robust optical delay lines via topological protection
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Topological phases of non-Hermitian systems
• Photovoltaic Hall effect in graphene
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Atomic physics and quantum optics using superconducting circuits
• Microwave photonics with superconducting quantum circuits
• Analogs of quantum Hall effect edge states in photonic crystals
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Topological characterization of periodically-driven quantum systems
• Acoustic topological insulator and robust one-way sound transport
• Atomic quantum gases in periodically driven optical lattices
• Light-induced gauge fields for ultracold atoms
• Topological Band Theory for Non-Hermitian Hamiltonians
• Topological States and Adiabatic Pumping in Quasicrystals
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Optomechanical Crystals
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Experimental observation of Weyl points
• Anomalous edge state in a non-Hermitian lattice
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Topolectrical circuit realization of topological corner modes
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• 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
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian Chern bands
• Topological nodal line semimetals with and without spin-orbital coupling
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Scattering approach to parametric pumping
• Spawning rings of exceptional points out of Dirac cones
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Quantum spin Hall effect of light
• Topological Boundary Modes in Isostatic Lattices
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Chiral nanophotonic waveguide interface based on spin-orbit coupling of light
• Extraordinary momentum and spin in evanescent waves
• A topological quantum optics interface
• Quantum phase transitions of light
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• 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
• Topological nodal line semimetals
• All-Si Valley-Hall Photonic Topological Insulator
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Realization of an all-dielectric zero-index optical metamaterial
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• 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
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topolectrical circuits
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Deterministic photon-emitter coupling in chiral photonic circuits
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• 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
• Experimental realization of optomechanically induced non-reciprocity
• Synthetic gauge fields in synthetic dimensions
• Observation of topologically protected bound states in a one dimensional photonic system
• Topological protection of photonic mid-gap cavity modes
• Exciton-polariton topological insulator
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Exploring Topological Phases With Quantum Walks
• Spontaneous formation and optical manipulation of extended polariton condensates
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topology by Dissipation in Atomic Quantum Wires
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Nodal-chain metals
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• The Zak phase and the existence of edge states in graphene
• Observation of photonic anomalous Floquet Topological Insulators
• Generalized nonreciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• A Four Dimensional Generalization of the Quantum Hall Effect
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
• Propagating phonons coupled to an artificial atom
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• Edge states and topological phases in non-Hermitian systems
• Floquet topological insulators
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Topological Transition in a Non-Hermitian Quantum Walk
• Spectral signatures of many-body localization with interacting photons
• Strongly interacting photons in one-dimensional continuum
• Optomechanical quantum information processing with photons and phonons
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Quantum acoustics with superconducting qubits
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
• Observation of Photonic Topological Valley-Hall Edge States
• Topological chiral magnonic edge mode in a magnonic crystal
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Topological Hybrid Silicon Microlasers
• Discrete single-photon quantum walks with tunable decoherence
• Nonreciprocity and magnetic-free isolation based on optomechanical interactions
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Strongly correlated photons on a chip
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topologically protected midgap states in complex photonic lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Observation of novel edge states in photonic graphene
• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Giant Rydberg Excitons in Cuprous Oxide
• Observation of a dynamical topological phase transition
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Photon-Photon Interactions via Rydberg Blockade
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Does a Surface Polariton Have Spin?
• Merging of Dirac points in a two-dimensional crystal
• Observation of the topological Anderson insulator in disordered atomic wires
• Photonic Topological Anderson Insulators
• Realization of a three-dimensional photonic topological insulator
• Time Reversal Invariant Topologically Insulating Circuits
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• A Dissipatively Stabilized Mott Insulator of Photons
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Topological properties of linear circuit lattices
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Double-Weyl phonons in transition-metal monosilicides
• Universal spin-momentum locking of evanescent waves
• Quantum simulation of an extra dimension
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Dispersive Photon Blockade in a Superconducting Circuit
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Topological singularities and the general classification of Floquet-Bloch systems
• Topological Polaritons
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Experimental observation of optical Weyl points
• Classification of Topological Insulators and Superconductors
• Optical diode based on the chirality of guided photons
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• The Insulating State of Matter: A Geometrical Theory
• Topological creation and destruction of edge states in photonic graphene
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Optomechanically induced non-reciprocity in microring resonators
• Artificial Gauge Field for Photons in Coupled Cavity Arrays
• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Nodal-link semimetals
• Spin-orbit coupled fermions in an optical lattice clock
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Quantum simulations and many-body physics with light
• Sideband Cooling Beyond the Quantum Limit with Squeezed Light
• Topological states of non-Hermitian systems
• PT-symmetry in honeycomb photonic lattices
• Polariton $\mathbb{Z}$ Topological Insulator
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Topology by dissipation
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Photonic gauge potential in a system with a synthetic frequency dimension
• Effective Hamiltonians for periodically driven systems
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• 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
• Crystalline metamaterials for topological properties at subwavelength scales
• Topological photonic crystal nanocavity laser
• Space dependent Fermi velocity in strained graphene
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• 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
• Quantum walks and wavepacket dynamics on a lattice with twisted photons
• Photonic quantum walk in a single beam with twisted light
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Statistical mechanics of a nonlinear discrete system
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• The quantum optical Josephson interferometer
• Nodal-knot semimetals
• Topological semimetals with Riemann surface states
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Measurement of topological invariants in a 2D photonic system
• Topological transition of Dirac points in a microwave experiment
• Topological Polaritons and Excitons in Garden Variety Systems
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Pseudospin-valley coupled edge states in a photonic topological insulator
• Plasmon Weyl Degeneracies in Magnetized Plasma
• 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
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Topological phononic insulator with robustly pseudospin-dependent transport
• Optically controlling the emission chirality of microlasers
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• Direct observation of chiral currents and magnetic reflection in atomic flux lattices
• Topological index for periodically driven time-reversal invariant 2D systems
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Optomechanical creation of magnetic fields for photons on a lattice
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Parity-time-symmetric topological superconductor
• Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
• Experimental discovery of nodal chains
• Continuous mode cooling and phonon routers for phononic quantum networks
• Topological characterization of chiral models through their long time dynamics
• Creating artificial magnetic fields for cold atoms by photon-assisted tunneling
• Dynamical moments reveal a topological quantum transition in a photonic quantum walk
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Floquet Topological States in Shaking Optical Lattices
• Topological magnetoplasmon
• Polaritonic Feshbach Resonance
• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Periodically-driven quantum matter: the case of resonant modulations
• Topological Edge Plasmon Modes between Diatomic Chains of Nanoparticles
• 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
• Topological light-trapping on a dislocation
• Lectures on the Quantum Hall Effect
• Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
• Snowflake Topological Insulator for Sound Waves
• Chiral Surface States in the Bulk Quantum Hall Effect
• Spinless Topological Insulators without Time-Reversal Symmetry
• Topological quantum fluctuations and travelling wave amplifiers
• Measurement of a topological edge invariant in a microwave network
• 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
• Demonstration of a Chip-based Nonlinear Optical Isolator
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
• Topology of density matrices
• Tight-binding couplings in microwave artificial graphene
• Geometrical pumping with a Bose-Einstein condensate
• Controlling the flow of light using the inhomogeneous effective gauge field that emerges from dynamic modulation
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Orbital edge states in a photonic honeycomb lattice
• Topological one-way fiber of second Chern number
• Experimental determination of the Berry phase in a superconducting charge pump
• Bulk-edge correspondence for topological photonic continua
• Dissipative preparation of Chern insulators
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Optical isolation with nonlinear topological photonics
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• Observation of Light Guiding by Artificial Gauge Fields
• Synthetic gauge fields and homodyne transmission in Jaynes-Cummings lattices
• Wave packets in Honeycomb Structures and Two-Dimensional Dirac Equations
• Three dimensional photonic Dirac points in metamaterials
• Synthetic photonic lattices: new routes towards all-optical photonic devices
• Theory of the Three Dimensional Quantum Hall Effect in Graphite
• Measuring topological invariants in photonic systems
• Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
• Radiative topological states in resonant photonic crystals
• Two-body physics in the Su-Schrieffer-Heeger model
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
• Scattering resonances and bound states for strongly interacting Rydberg polaritons
• Topological fractional pumping with alkaline-earth(-like) ultracold atoms
• Induced self-stabilization in fractional quantum Hall states of light
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• Topological transitions in continuously-deformed photonic crystals
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Flat bands in lattices with non-Hermitian coupling
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Topological nodal states in circuit lattice
• 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
• Measurement of Chern numbers through center-of-mass responses
• Non-Abelian braiding of light
• Multi Weyl Points and the Sign Change of Their Topological Charges in Woodpile Photonic Crystals
• Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
• Interacting quantum fluid in a polariton topological insulator
• Topological pumping of photons in nonlinear resonator arrays
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Topological lasing and self-induced transparency in two level systems
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Floquet Edge States with Ultracold Atoms
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator
• Measuring Topological Invariants in Disordered Discrete Time Quantum Walks
• Photonic simulation of topological excitations in metamaterials
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Engineering topological materials in microwave cavity arrays
• Propagation of a quantum fluid of light in a cavityless nonlinear optical medium: General theory and response to quantum quenches
• Observation of Three-dimensional Photonic Dirac points and Spin-polarized Surface Arcs
• Three-dimensional photonic Dirac points stabilized by point group symmetry
• Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
• Particle-like behavior of topological defects in linear wave packets in photonic graphene
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• A Strongly Interacting Polaritonic Quantum Dot
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Coulomb bound states of strongly interacting photons
• Topological photonics: from crystals to particles
• Topological Zak Phase in Strongly-Coupled LC Circuits
• Scattering theory of topological phases in discrete-time quantum walks
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Type-II Dirac Photons
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Observation of Cavity Rydberg Polaritons
• Spectral imaging of topological edge states in plasmonic waveguide arrays
• Edge-state instabilities of bosons in a topological band
• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• 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
• Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
• Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
• Topologically robust transport of entangled photons in a 2D photonic system
• Effective magnetic fields for photons in waveguide and coupled resonator lattices
• Quantum simulation of non-trivial topology
• Photonic Bloch oscillations of correlated particles
• Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
• Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard
• Feshbach blockade: single-photon nonlinear optics using resonantly enhanced cavity-polariton scattering from biexciton states
• Manipulation of edge states in microwave artificial graphene
• Stochastic Formation of Polariton Condensates in Two Degenerate Orbital States
• Topological Varma superfluid in optical lattices
• 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
• Effective magnetic fields for stationary light
• Floquet Weyl Phases in a Three Dimensional Network Model
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• Quantum Valley Hall Effect and Perfect Valley Filter Based on Photonic Analogs of Transitional Metal Dichalcogenides
• Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
• Driving protocol for a Floquet topological phase without static counterpart
• Selective Population of Edge States in a 2D Topological Band System
• Fractional Quantum Hall States of Rydberg Polaritons
• Dynamic defects in photonic Floquet topological insulators
• 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
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• State-recycling and time-resolved imaging in topological photonic lattices
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Dynamic localization of light from a time-dependent effective gauge field for photons
• 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
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Space-group theory of photonic bands
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
• Supersymmetry in quantum optics and in spin-orbit coupled systems
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
• Photonic Chern insulator through homogenization of an array of particles
• Steady-state Hall response and quantum geometry of driven-dissipative lattices
• Dynamically induced robust phonon transport and chiral cooling in an optomechanical system
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Electromagnetic Scattering Laws in Weyl Systems
• Effective Field Theory for Rydberg Polaritons
• Geometric construction of the Quantum Hall Effect in all even dimensions
• Propagating edge states in strained honeycomb lattices
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
• Observation of valley Landau-Zener-Bloch oscillations and pseudospin imbalance in photonic graphene
• Realization of Discrete Quantum Billiard in 2D Optical Lattices
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System
• Topological phase transition measured in a dissipative metamaterial
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Gapless surface states in a lattice of coupled cavities: a photonic analog of topological crystalline insulators
• Energy landscape in two-dimensional Penrose-tiled quasicrystal
• Three-body interaction of Rydberg slow light polaritons
• Exciting Reflectionless Unidirectional Edge Modes in a Reciprocal Photonic Topological Insulator Medium
• Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Different lattice geometries with synthetic dimension
• Non-diffracting states in one-dimensional Floquet photonic topological insulators
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Fractional charge and inter-Landau level states at points of singular curvature
• Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates
• Topological phase transition in a stretchable photonic crystal
• Spatial Goos-Hänchen shift in photonic graphene
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• Phonoritonic crystals with synthetic magnetic field for acoustic diode
• Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators
• Magnetostatic wave analog of integer quantum Hall state in patterned magnetic films
• Klein tunneling in driven-dissipative photonic graphene
• Topological polaritons from photonic Dirac cones coupled to excitons in a magnetic field
• Confined one-way mode at magnetic domain wall for broadband high-efficiency one-way waveguide, splitter and bender
• Seeing bulk topological properties of band insulators in small photonic lattices
• Probing the topological properties of the Jackiw-Rebbi model with light
• Many-body braiding phases in a rotating strongly correlated photon gas
• Strong transmission and reflection of edge modes in bounded photonic graphene
• Topological Floquet edge states in periodically curved waveguides
• Inter-mode reactive coupling induced by waveguide-resonator interaction
• Topologically protected strongly-correlated states of photons
• Hamiltonian Tomography of Photonic Lattices
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Robust Topological Terahertz Circuits using Semiconductors
• Four-dimensional topological lattices through connectivity
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Angular dependence of giant Zeeman effect for semi-magnetic cavity polaritons
• Topological Phenomena in Classical Optical Networks
• Gapless surface states originated from accidentally degenerate quadratic band touching in a three-dimensional tetragonal photonic crystal
• Engineering topological edge states in two dimensional magnetic photonic crystal
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• 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
• The nonlinear Dirac equation in Bose-Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices
• Photonic realization of topologically protected bound states in domain-wall waveguide arrays
• Wrapping Current versus Bulk Integer Quantum Hall Effect in Three Dimensions
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Synthetic gauge fields for light beams in optical resonators
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• The nonlinear Dirac equation in Bose-Einstein condensates: Vortex solutions and spectra in a weak harmonic trap
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Photons and polaritons in a time-reversal-broken non-planar resonator
• Momentum-space Harper-Hofstadter model
• Berry curvature effects in the Bloch oscillations of a quantum particle under a strong (synthetic) magnetic field
• Fredholm Operators and Spectral Flow
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
• Berry Curvature of interacting bosons in a honeycomb lattice
• Topologically Charged Nodal Surface
• Quantum Hall effect in momentum space
• Growing quantum states with topological order
• Single atom edge-like states via quantum interference
• Momentum-space Landau levels in driven-dissipative cavity arrays
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice

Cited by in corpus (1424)

• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Symmetry and Topology in Non-Hermitian Physics
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Terahertz topological photonics for on-chip communication
• Topologically Enabled Ultra-high-Q Guided Resonances Robust to Out-of-plane Scattering
• Transforming heat transfer with thermal metamaterials and devices
• A Silicon-on-Insulator Slab for Topological Valley Transport
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Nonlinear topological photonics
• Classical higher-order topological insulators
• Photonic quadrupole topological phases
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Non-Hermitian Topological Invariants in Real Space
• Topological phase transition in non-Hermitian quasicrystals
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Interacting topological insulators: a review
• Photonic crystal nanocavity based on a topological corner state
• Topological active matter
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Experimental realization of a Weyl exceptional ring
• Observation of Topological Band Gap Solitons
• Observation of arbitrary topological windings of a non-Hermitian band
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Topological Non-Hermitian skin effect
• Light-induced emergent phenomena in 2D materials and topological materials
• Acoustic realization of quadrupole topological insulators
• Nonlinear control of PT-symmetry and non-Hermitian topological states
• Higher-order topological corner states induced by gain and loss
• Active topological photonics
• Low-threshold topological nanolasers based on second-order corner state
• Nonlinearity-induced photonic topological insulator
• Non-Hermitian Morphing of Topological Modes
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Generation and Annihilation of Topologically-Protected Bound States in the Continuum and Circularly-Polarized States by Symmetry Breaking
• Engineered Dissipation for Quantum Information Science
• Topological Magnons: A Review
• Unconventional quantum optics in topological waveguide QED
• Quantum phases driven by strong correlations
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Lasing from multipole topological corner states
• Strongly-Correlated Electron-Photon Systems
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Enhanced Light-Matter Interaction in Two-Dimensional Transition Metal Dichalcogenides
• Symmetry and Higher-Order Exceptional Points
• Supertoroidal light pulses: Propagating electromagnetic skyrmions in free space
• Tunable Chiral Bound States with Giant Atoms
• Quantum Gases in Optical Boxes
• Thouless pumping and topology
• Observation of Laughlin states made of light
• Dirac-vortex topological cavity
• Quantum electrodynamics in a topological waveguide
• Tailoring quantum gases by Floquet engineering
• Higher-Order Weyl Semimetals
• Tailoring Structure-borne Sound Through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Demonstration of a quantized acoustic octupole topological insulator
• Topological framework for directional amplification in driven-dissipative cavity arrays
• Circuit Implementation of a Four-Dimensional Topological Insulator
• Polarization diversity close to the optical bound states in the continuum
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Non-Abelian braiding on photonic chips
• Singular points of polarizations in the momentum space of photonic crystal slabs
• Experimental band structure spectroscopy along a synthetic dimension
• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Observation of a phononic higher-order Weyl semimetal
• Perspective on topological states of non-Hermitian lattices
• Computation and data driven discovery of topological phononic materials
• Relations between topology and the quantum metric for Chern insulators
• Observation of strong backscattering in valley-Hall photonic topological interface modes
• Chiral topological photonics with an embedded quantum emitter
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Reprogrammable plasmonic topological insulators with ultrafast control
• Transient non-Hermitian skin effect
• Realization of a fractional quantum Hall state with ultracold atoms
• Skin effect and winding number in disordered non-Hermitian systems
• Singularities and Poincaré Indexes of Electromagnetic Multipoles
• Topological phases without crystalline counterparts
• Photonic Floquet topological insulators in a fractal lattice
• Circular dichroism in high-order harmonic generation: Heralding topological phases and transitions in Chern insulators
• Chiral quantum optics using a topological resonator
• Topological non-Hermitian origin of surface Maxwell waves
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Quantum interference of topological states of light
• Controlling mass and energy diffusion with metamaterials
• Observation of Weyl point pair annihilation in a gyromagnetic photonic crystal
• A brief review of topological photonics in one, two, and three dimensions
• Observation of Edge Solitons in Photonic Graphene
• Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
• Non-Hermitian Topological Anderson Insulators
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system
• Observation of topological magnon insulator states in a superconducting circuit
• Roadmap on structured waves
• Generalized bulk-edge correspondence for non-hermitian topological systems
• A perspective on topological nanophotonics: current status and future challenges
• Extracting the quantum metric tensor through periodic driving
• Realizing Kagome Band Structure in Two-Dimensional Kagome Surface States of $R{V}_{6}S{n}_6$ ($R$=Gd,Ho)
• Observation of photonic antichiral edge states
• Vectorial light-matter interaction -- exploring spatially structured complex light fields
• Topolectric circuits: Theory and construction
• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Non-Hermitian second-order skin and topological modes
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Crystallography of Hyperbolic Lattices
• Topological and geometrical aspects of band theory
• Four-wave Mixing of Topological Edge Plasmons in Graphene Metasurfaces
• Transverse spin dynamics of light: the generalized spin-momentum locking for structured guided modes
• Hybrid topological photonic crystals
• Perovskite quantum dot topological laser
• Dirac magnons in a honeycomb lattice quantum XY magnet CoTiO3
• Quantifying the robustness of topological slow light
• Tutorial: Computing topological invariants in two-dimensional photonic crystals
• Observation of novel topological states in hyperbolic lattices
• Valley based splitting of topologically protected helical waves in elastic plates
• Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Quantized Fractional Thouless Pumping of Solitons
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• 4D spinless topological insulator in a periodic electric circuit
• Helical damping and anomalous critical non-Hermitian skin effect
• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Hybrid skin-topological modes without asymmetric couplings
• Observation of Protected Photonic Edge States Induced By Real-Space Topological Lattice Defects
• Many-body approach to non-Hermitian physics in fermionic systems
• Topological hyperbolic lattices
• Room temperature Organic Exciton-Polariton Condensate in a Lattice
• Guided accumulation of active particles by topological design of a second-order skin effect
• Conventional and unconventional photon statistics
• Topological insulators and semimetals in classical magnetic systems
• Emergent Nonlinear Phenomena in a Driven Dissipative Photonic Dimer
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Topological quantum phase transitions retrieved through unsupervised machine learning
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• Synthetic gauge field in a single optomechanical resonator
• Electromagnetic-dual metasurfaces for topological states along a one-dimensional interface
• Higher-order topological phases in tunable $C_3$-symmetric photonic crystals
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• Observation of an unpaired photonic Dirac point
• Experimental realization of single-plaquette gauge flux insertion and topological Wannier cycles
• Projectively enriched symmetry and topology in acoustic crystals
• Experimental observation of topological exciton-polaritons in transition metal dichalcogenide monolayers
• Amorphous photonic topological insulator
• Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Photonic Anomalous Quantum Hall Effect
• Braiding photonic topological zero modes
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Cavity Quantum Electrodynamics with Second-Order Topological Corner State
• Topological Frequency Combs and Nested Temporal Solitons
• Topological edge states and gap solitons in the nonlinear Dirac model
• Observation of Gigahertz Topological Valley Hall Effect in Nanoelectromechanical Phononic Crystals
• Vacancy-like dressed states in topological waveguide QED
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Automorphic Bloch theorems for hyperbolic lattices
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Topological metasurface: From passive toward active and beyond
• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• Topological Amplification in Photonic Lattices
• Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
• Topological unidirectional guided resonances emerged from interband coupling
• Tuning the Berry curvature in 2D Perovskite
• Realization of Anomalous Floquet Insulators in Strongly-Coupled Nanophotonic Lattices
• Landau-Zener Transition in Topological Acoustic Pumping
• Second-harmonic generation via double topological valley-Hall kink modes in all-dielectric photonic crystals
• Topological nodal states in circuit lattice
• Non-Hermitian topology of spontaneous magnon decay
• Non-abelian gauge fields in circuit systems
• Acoustic Möbius insulators from projective symmetry
• Many-Body Topological and Skin States without Open Boundaries
• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
• Two-dimensional topological quantum walks in the momentum space of structured light
• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Coherent control of quantum topological states of light in Fock-state lattices
• Nonreciprocal single-photon band structure
• Acoustic square-root topological insulators
• Observation of edge solitons in topological trimer arrays
• Experimental Observation of Tensor Monopoles with a Superconducting Qudit
• Higher-order Dirac sonic crystals
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Topological dislocation modes in three-dimensional acoustic topological insulators
• MagneticTB: A package for tight-binding model of magnetic and non-magnetic materials
• Non-Abelian gauge field optics
• SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
• On-chip higher-order topological micromechanical metamaterials
• Floquet Chern Insulators of Light
• Hyperbolic band topology with non-trivial second Chern numbers
• Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
• Magic-angle Bilayer Phononic Graphene
• Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
• Dualities and non-Abelian mechanics
• Experimental demonstration of topological slow light waveguides in valley photonic crystals
• High capacity topological coding based on nested vortex knots and links
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• A synthetic gauge field for two-dimensional time-multiplexed quantum random walks
• On the robustness of topological corner modes in photonic crystals
• Four-Dimensional Higher-Order Chern Insulator and Its Acoustic Realization
• Connecting Higher-Order Topology with the Orbital Hall Effect in Monolayers of Transition Metal Dichalcogenides
• Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
• Exciton optics, dynamics and transport in atomically thin semiconductors
• Topolectrical-circuit realization of 4D hexadecapole insulator
• Observation of Three-dimensional Photonic Dirac points and Spin-polarized Surface Arcs
• Ultrafast Microscopy of a Plasmonic Spin Skyrmion
• Sub-symmetry protected topological states
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
• Observation of quadratic Weyl points and double-helicoid arcs
• Topological Quantum Batteries
• Electrically tunable Berry curvature and strong light-matter coupling in birefringent perovskite microcavities at room temperature
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Rabi resonance splitting phenomena in photonic integrated circuits
• Controlling Thermal Emission by Parity-symmetric Fano Resonance of Optical Absorbers in Metasurfaces
• Tunable quantum interference using a topological source of indistinguishable photon pairs
• Gapless Unidirectional Photonic Transport Using All-Dielectric Kagome Lattices
• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Light-matter interactions in synthetic magnetic fields: Landau-photon polaritons
• 3D hinge transport in acoustic higher-order topological insulators
• Quantized classical response from spectral winding topology
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Many-body Chern number from statistical correlations of randomized measurements
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Twisted quadrupole topological photonic crystals
• Gauge protection in non-Abelian lattice gauge theories
• A Universal Mirror-stacking Approach for Constructing Topological Bound States in the Continuum
• Non-Hermitian Topological Phases: Principles and Prospects
• Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to Su-Schrieffer-Heeger model
• Stability of topological edge states under strong nonlinear effects
• Detecting non-Bloch topological invariants in quantum dynamics
• Vector Topological Edge Solitons in Floquet Insulators
• Topology and retardation effect of a giant atom in a topological waveguide
• Coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Higher-order Dirac Semimetal in a Photonic Crystal
• Fundamental limits for reciprocal and non-reciprocal non-Hermitian quantum sensing
• Topological edge states of quasiperiodic elastic metasurfaces
• Non-Hermitian Pseudo-Gaps
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• Synthetic dimension band structures on a Si CMOS photonic platform
• Universality in driven open quantum matter
• Dirac-vortex topological photonic crystal fibre
• Frequency-dependent topological phases and photonic detouring in valley photonic crystals
• Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
• Brillouin Klein Bottle From Artificial Gauge Fields
• Non-Hermitian Photonic Lattices: tutorial
• $\hslash \omega$ versus $\hslash \mathbf{k}$: Dispersion and Energy Constraints on Time-Varying Photonic Materials and Time Crystals
• Antihelical Edge States in Two-dimensional Photonic Topological Metals
• Topological phases of polaritons in a cavity waveguide
• Inverse design of higher-order photonic topological insulators
• Magic-angle semimetals
• Wireless power transfer via topological modes in dimer chains
• Mechanical analogue of a Majorana bound state
• A Photonic Topological Mode Bound to a Vortex
• Nanomechanical topological insulators with an auxiliary orbital degree of freedom
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Demonstration of topological wireless power transfer
• Noiseless photonic non-reciprocity via optically-induced magnetization
• Phase-controlled asymmetric optomechanical entanglement against optical backscattering
• Ideal type-II Weyl points in topological circuits
• Non-abelian Thouless pumping in a photonic lattice
• Experimental observation of Aharonov-Bohm caging using orbital angular momentum modes in optical waveguides
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Z_2 Photonic topological insulators in the visible wavelength range for robust nanoscale photonics
• Topological states in quasicrystals
• Nonlinear non-Hermitian higher-order topological laser
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Room-temperature continuous-wave Dirac-vortex topological lasers on silicon
• Non-Abelian lattice gauge fields in the photonic synthetic frequency dimension
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Topologically Protected Quantum Coherence in a Superatom
• Topological Valley Hall Edge State Lasing
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Nonlinear dynamics of Aharonov-Bohm cages
• Theory of Topological Corner State Laser in Kagome Waveguide Arrays
• Unidirectional and diffractionless surface plasmon-polaritons on three-dimensional nonreciprocal plasmonic platforms
• Edge Solitons in Lieb Topological Floquet Insulators
• Topological Time Crystals
• Topological photonics: fundamental concepts, recent developments, and future directions
• Non-Hermitian skin effect as an impurity problem
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Topological Phase Transition Independent of System Non-Hermiticity
• Topological Photonic Tamm-States and the Su-Schrieffer-Heeger Model
• Collective Spin-Light and Light-Mediated Spin-Spin Interactions in an Optical Cavity
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
• Realization of fractional quantum Hall state with interacting photons
• Observation of nonlinear disclination states
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Topological lattices realized in superconducting circuit optomechanics
• Topological phases of quantized light
• Theory of the coherence of topological lasers
• A Semiconductor Topological Photonic Ring Resonator
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Non-Hermitian skin effect of dislocations and its topological origin
• Non-Abelian inverse Anderson transitions
• Mapping the Design Space of Photonic Topological States via Deep Learning
• Topological pumping in a Floquet-Bloch band
• Onset of vortex clustering and inverse energy cascade in dissipative quantum fluids
• Critical couplings in topological-insulator waveguide-resonator systems observed in elastic waves
• Topological dipole Floquet solitons
• Topological Phases in Magnonics
• Spin-Orbit-Locking Chiral Bound States in the Continuum
• Fermion-boson many-body interplay in a frustrated kagome paramagnet
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Fermionic time-reversal symmetry in a photonic topological insulator
• Plasmon-polaritonic quadrupole topological insulators
• Observation of topological frequency combs
• Dissipative Floquet Dynamical Quantum Phase Transition
• Four-band non-Abelian topological insulator and its experimental realization
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Photon-mediated localization in two-level qubit arrays
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Strong interlayer coupling and stable topological flat bands in twisted bilayer photonic Moire superlattices
• Topological state transfer in Kresling origami
• Topological thermal transport
• Topological multi-mode waveguide QED
• Topologically protected vortex transport via chiral-symmetric disclination
• GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
• Realization of a Z classified chiral-symmetric higher-order topological insulator in a coupling-inversion acoustic crystal
• Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
• Dynamic winding number for exploring band topology
• Nondiffracting Supertoroidal Pulses: Optical "Kármán vortex streets"
• Exceptional band touching for strongly correlated systems in equilibrium
• Microwave Applications of Photonic Topological Insulators
• Nonlinear states and dynamics in a synthetic frequency dimension
• Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
• Topological quantum critical points in the extended Bose-Hubbard model
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Topological Invariant and Anomalous Edge Modes of Strongly Nonlinear Systems
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Photonic corner skin modes
• Generation and detection of spin-orbit coupled neutron beams
• Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Dual-Polarization Second-Order Photonic Topological Insulators
• Free-Fermionic Topological Quantum Sensors
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Topologically-protected single-photon sources with topological slow light photonic crystal waveguides
• Bulk-edge correspondence of classical diffusion phenomena
• Zoology of non-Hermitian spectra and their graph topology
• Unsupervised Learning of Non-Hermitian Topological Phases
• A non-Hermitian optical atomic mirror
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Unconventional quantum sound-matter interactions in spin-optomechanical-crystal hybrid systems
• Floquet engineering to exotic topological phases in systems of cold atoms
• Large-area quantum-spin-Hall waveguide states in a three-layer topological photonic crystal heterostructure
• Hybrid exceptional point created from type III Dirac point
• The Nature of Topological Protection in Spin and Valley Hall Insulators
• Dissipative Topological Phase Transition with Strong System-Environment Coupling
• Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices
• Observation of Dirac hierarchy in three-dimensional acoustic topological insulators
• Photonic topological insulators a beginner's introduction
• High-order topological insulators from high-dimensional Chern insulators
• Disorder-induced topological phase transition in a 1D mechanical system
• Evolution and global charge conservation for polarization singularities emerging from nonhermitian degeneracies
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Topological Field Theory far from Equilibrium
• Extraction of many-body Chern number from a single wave function
• Observation of cnoidal wave localization in non-linear topolectric circuits
• Stabilizing multiple topological fermions on a quantum computer
• Giant effective Zeeman splitting in a monolayer semiconductor realized by spin-selective strong light-matter coupling
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
• Realization of all-band-flat photonic lattices
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Smart patterning for topological pumping of elastic surface waves
• Topological input-output theory for directional amplification
• Photonic realization of a generic type of graphene edge states exhibiting topological flat band
• Topological supermodes in photonic crystal fiber
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Quantum Hall phase emerging in an array of atoms interacting with photons
• Programmable high-dimensional Hamiltonian in a photonic waveguide array
• Probing bulk topological invariants using leaky photonic lattices
• Optical excitations of Skyrmions, knotted solitons, and defects in atoms
• Helical Liquids in Semiconductors
• Classification of time-reversal-invariant crystals with gauge structures
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Abelian Bloch oscillations in higher-order topological insulators
• Attractive and repulsive exciton-polariton interactions mediated by an electron gas
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Geometric characterization of anomalous Landau levels of isolated flat bands
• Demonstration of acoustic high-order Stiefel-Whitney semimetal in bilayer graphene sonic crystals
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Topologically protected Fano resonance in photonic valley Hall insulators
• Exciting Pseudospin Dependent Edge States in Plasmonic Metasurfaces
• Observation of Universal Hall Response in Strongly Interacting Fermions
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Spin Hall effect of light in a random medium
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions
• Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime
• Nanomechanical resonators with ultra-high-$Q$ perimeter modes
• Real-space detection and manipulation of topological edge modes with ultracold atoms
• Untying links through anti-parity-time-symmetric coupling
• Ground-state quantum geometry in superconductor-quantum dot chains
• Universal momentum-to-real-space mapping of topological singularities
• Interaction-induced topological properties of two bosons in flat-band systems
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Non-Hermitian scattering on a tight-binding lattice
• Free-Space Propagation and Skyrmion Topology of Toroidal Electromagnetic Pulses
• Topological photon pairs in a superconducting quantum metamaterial
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Probing localization and quantum geometry by spectroscopy
• Symmetry-protected photonic chiral spin textures by spin-orbit coupling
• Multifrequency and multimode topological waveguides in a Stampfli-triangle photonic crystal with large valley Chern numbers
• Theory of chiral edge state lasing in a two-dimensional topological system
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Robustness of topological corner modes against disorder and application to acoustic networks
• Interaction Induced Topological Charge Pump
• Single photon scattering from a chain of giant atoms coupled to a one-dimensional waveguide
• Cooperative quantum-optical planar arrays of atoms
• Stable nonlinear modes sustained by gauge fields
• Measurement of spin Chern numbers in quantum simulated topological insulators
• Topological valley transport under long-range deformations
• An operator-based approach to topological photonics
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Deterministic scheme for two-dimensional type-II Dirac points and experimental realization in acoustics
• Optically reconfigurable quantum spin-valley Hall effect of light in coupled nonlinear ring resonator lattice
• The Application of Tailored Fields for Studying Chirality and Symmetry
• Berry bands and pseudo-spin of topological photonic phases
• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy
• Quantum state transfer via acoustic edge states in a 2D optomechanical array
• Topological energy braiding of the non-Bloch bands
• Classical-to-Topological Transmission Line Couplers
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Experimental observation of inter-orbital coupling
• Fractional disclination charge and discrete shift in the Hofstadter butterfly
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Cubic 3D Chern photonic insulators with orientable large Chern vectors
• Transport of neutral optical excitations using electric fields
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Topological slow light via coupling chiral edge modes with flat bands
• Topological Ring-Cavity Laser Formed by Honeycomb Photonic Crystals
• Angular-dependent Klein tunneling in photonic graphene
• Localization, $\mathcal{P}\mathcal{T}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Global $\mathbb{T}$ operator bounds on electromagnetic scattering: Upper bounds on far-field cross sections
• Designing three-dimensional flat bands in nodal-line semimetals
• Topological photonic crystal fibers based on second-order corner modes
• Simulation of topological phases with color center arrays in phononic crystals
• Topologically Enabled Ultralarge Purcell Enhancement Robust to Photon Scattering
• Line Singularities and Hopf Indices of Electromagnetic Multipoles
• Hawking fragmentation and Hawking attenuation in Weyl semimetals
• Nonlinear higher-order polariton topological insulator
• Topological data analysis and machine learning
• Topological photonic alloy
• Measuring topological invariants in polaritonic graphene
• Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
• Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
• Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
• Spectral Causality and the Scattering of Waves
• Robust surface plasmon polaritons on gyrotropic interfaces
• Topological Anderson phase in quasi-periodic waveguide lattices
• Exciton-polaritons in flatland: Controlling flatband properties in a Lieb lattice
• Bragg solitons in topological Floquet insulators
• Observation of nonlinear fractal higher-order topological insulator
• Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir
• Topological Boundary Modes from Translational Deformations
• Topological states in arrays of optical waveguides engineered via mode interference
• Fusion channels of non-Abelian anyons from angular-momentum and density-profile measurements
• Giant Enhancement of Unconventional Photon Blockade in a Dimer Chain
• Quadrature nonreciprocity: unidirectional bosonic transmission without breaking time-reversal symmetry
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Intrinsic spin-momentum dynamics of surface electromagnetic waves in complex dispersive system
• Disorder-enhanced transport in a chain of lossy dipoles strongly coupled to cavity photons
• Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
• Manipulating Topological Valley Modes in Plasmonic Metasurfaces
• Unconventional topology with a Rashba spin-orbit coupled quantum gas
• Topological spin excitations in Harper-Heisenberg spin chains
• Topological band structure via twisted photons in a degenerate cavity
• Floquet topological insulator laser
• Spatially shaping waves to penetrate deep inside a forbidden gap
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Dirac phonons in two-dimensional materials
• Second Chern crystals in four-dimensional synthetic translation space with inherently nontrivial topology
• Dark topological valley Hall edge solitons
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Mathematical theory for topological photonic materials in one dimension
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Non-Hermitian many-body topological excitations in interacting quantum dots
• Valley-Hall topological plasmons in a graphene nanohole plasmonic crystal waveguide
• Quadratic pseudospectrum for identifying localized states
• Topological near fields generated by topological structures
• Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
• Classifying topology in photonic heterostructures with gapless environments
• Bulk detection of time-dependent topological transitions in quenched chiral models
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Topological Anderson insulators induced by random binary disorders
• Gauge-induced Floquet topological states in photonic waveguides
• Controlling Exceptional Points with Light
• Photonic Floquet time crystals
• Disorder-Assisted Assembly of Strongly Correlated Fluids of Light
• Unidirectional lasing in nonlinear Taiji micro-ring resonators
• Liquid-crystal-based topological photonics
• Manipulating synthetic gauge fluxes via multicolor dressing of Rydberg-atom arrays
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Topological Floquet engineering using two frequencies in two dimensions
• Dzyaloshinskii-Moriya Induced Topological Magnon-Phonon Hybridization in 2D Antiferromagnetic Insulators with Tunable Chern Numbers
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Second-order topological insulator in breathing square lattice of magnetic vortices
• Nonlinearity-induced reciprocity breaking in a single non-magnetic Taiji resonator
• Amorphous topological phases protected by continuous rotation symmetry
• Dirac cones and chiral selection of elastic waves in a soft strip
• Exceptional points in the one-dimensional Hubbard model
• Multiphoton resonance and chiral transport in the generalized Rabi model
• Pretopological fractional excitations in the two-leg flux ladder
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Frequency tunable topological edge states of two-dimensional honeycomb lattice photonic crystals
• Antichiral states in twisted graphene multilayers
• Many-Body Open Quantum Systems
• Topological valley plasmon transport in bilayer graphene metasurfaces for sensing applications
• Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Synthetic gravitational horizons in low-dimensional quantum matter
• General Theory of Momentum-Space Nonsymmorphic Symmetry
• Accelerating Polaritons with External Electric and Magnetic Fields
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
• Zero-index Weyl metamaterials
• Bound states and photon emission in non-Hermitian nanophotonics
• Location and topology of the fundamental gap in photonic crystals
• Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Biphoton entanglement of topologically-distinct modes
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Topological holographic quench dynamics in a synthetic dimension
• Probing band topology using modulational instability
• Old experiments in new light: Young's double-slit and Stern-Gerlach experiments in liquid crystal microcavities
• Floquet engineering of individual band gaps in an optical lattice using a two-tone drive
• Probing rotated Weyl physics on nonlinear lithium niobate-on-insulator chips
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• Observation of non-Hermitian antichiral edge currents
• Chiral current circulation and $\mathcal{P}\mathcal{T}$ symmetry in a trimer of oscillators
• Radiative topological biphoton states in modulated qubit arrays
• The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media
• Topologically protected generation of spatiotemporal optical vortices with nonlocal spatial-mirror-symmetry-breaking metasurface
• Quantized Topological Anderson-Thouless Pump
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Phonon magnetochiral effect of band-geometric origin in Weyl semimetals
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Wannier-type photonic higher-order topological corner states induced solely by gain and loss
• Space-Time Phononic Crystals with Anomalous Topological Edge States
• Interaction-induced topological states of photon pairs
• Activity-induced phase transition in a quantum many-body system
• Interacting Stochastic Topology and Mott Transition from Light Response
• Synthetic dimension-induced conical intersections in Rydberg molecules
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Optical response of two-dimensional Dirac materials with a flat band
• Electron-photon Chern number in cavity-embedded 2D moiré materials
• Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Nonlinear Topological Mechanics in Elliptically Geared Isostatic Metamaterials
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Superfluidity of Light and its Break-Down in Optical Mesh Lattices
• Nonlinear photonic disclination states
• Photonic analogues of the Haldane and Kane-Mele models
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Dynamics of a massive superfluid vortex in $r^k$ confining potentials
• A brief review of hybrid skin-topological effect
• Non-Hermitian topology in rock-paper-scissors games
• Unidirectional scattering with spatial homogeneity using photonic time disorder
• Observation of scale-free localized states induced by non-Hermitian defects
• Non-Abelian Hopf-Euler insulators
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Topological phase in plasma physics
• Topological proximity effects in a Haldane-graphene bilayer system
• Higher-order topological spin Hall effect of sound
• Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
• Rapid Exploration of Topological Band Structures using Deep Learning
• Double-bowl State in photonic Dirac nodal line semimetal
• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• Spectral localizer for line-gapped non-hermitian systems
• Understanding superradiant phenomena with synthetic vector potentials in atomic Bose-Einstein condensates
• Recent advances in terahertz photonic technologies based on graphene and their applications
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Plasmonic nonreciprocity driven by band hybridization in moiré materials
• Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Magnetic Topological Kagome Systems
• Four-dimensional topological lattices through connectivity
• Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description
• Rabi-like oscillation of photonic topological valley Hall edge states
• Observation of flat-band and band transition in the synthetic space
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Dissipative structures in topological lattices of nonlinear optical resonators
• Optimization and robustness of topological corner state in second-order topological photonic crystal
• Absence of topological protection of the interface states in ${\mathbb{Z}}_2$ photonic crystals
• Kagome Flatbands for Coherent Exciton-Polariton Lasing
• Local orbital-angular-momentum dependent surface states with topological protection
• Isolated Photonic Flatband with the Effective Magnetic Flux in A Synthetic Space including the Frequency Dimension
• Material vs. structure: Topological origins of band-gap truncation resonances in periodic structures
• Experimental observations of topologically guided water waves within non-hexagonal structures
• Direct optical probe of magnon topology in two-dimensional quantum magnets
• A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles
• Double Dirac Cones and Topologically Non-Trivial Phonons for Continuous, Square Symmetric (C${}_{4v}$ and C${}_{2v}$) Unit Cells
• Chiral Maxwell waves in continuous media from Berry monopoles
• Second-order and real Chern topological insulator in twisted bilayer $\alpha$-graphyne
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Geometry and Topology Tango in Ordered and Amorphous Chiral Matter
• Realization of time-reversal invariant photonic topological Anderson insulators
• Floquet quadrupole photonic crystals protected by space-time symmetry
• Unconventional Quantum Electrodynamics with Hofstadter-Ladder Waveguide
• Fate of exceptional points under interactions: Reduction of topological classifications
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Wannier Function Methods for Topological Modes in 1D Photonic Crystals
• Observation of a topological edge state stabilized by dissipation
• High topological charge lasing in quasicrystals
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• The physical origins of extreme cross-polarization extinction in confocal microscopy
• Projected Topological Branes
• Non-Bloch band theory for non-Hermitian continuum systems
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Electric fields for light: Propagation of microwave photons along a synthetic dimension
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• On-chip unidirectional waveguiding for surface acoustic waves along a defect line in a triangular lattice
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Hierarchical Mean-Field $\mathbb{T}$ Operator Bounds on Electromagnetic Scattering: Upper Bounds on Near-Field Radiative Purcell Enhancement
• Chiral photonic topological states in Penrose quasicrystals
• Photonic Berry curvature in double liquid crystal microcavities with broken inversion symmetry
• 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
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Probing multi-mobility edges in quasiperiodic mosaic lattices
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Chiral emission induced by optical Zeeman effect in polariton micropillars
• Realization of strongly-interacting Meissner phases in large bosonic flux ladders
• Synthetic Flux Attachment
• Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
• Topological photonic Su-Schrieffer-Heeger-type coupler
• Constructing higher-order topological states in higher dimension
• Emergent topology under slow non-adiabatic quantum dynamics
• Optical pumping of electronic quantum Hall states with vortex light
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Topological inheritance in half-SSH Hubbard models
• Distortionless pulse transmission in valley photonic crystal slab waveguide
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Topological charge of finite-size photonic crystal modes
• Quantum decay in a topological continuum
• Valley Hall edge solitons in a photonic graphene
• Universal driving protocol for symmetry-protected Floquet topological phases
• New perspective on chiral exceptional points with application to discrete photonics
• Light-matter interactions near photonic Weyl points
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Observation of nonlinearity-controlled switching of topological edge states
• Extended topological mode in a one-dimensional non-Hermitian acoustic crystal
• Insensitive edge solitons in a non-Hermitian topological lattice
• Quantum light-matter interactions in structured waveguides
• Spin/momentum properties of the paraxial optical beams
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Polaritonic Chern insulators in monolayer semiconductors
• Bifurcation of a Topological Skyrmion String
• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
• Measuring Zak phase in room-temperature atoms
• Floquet Edge Multicolor Solitons
• Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference
• Topological Bulk Lasing Modes Using an Imaginary Gauge Field
• Polaritonic Tamm states induced by cavity photons
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Superconducting quantum many-body circuits for quantum simulation and computing
• Ramsey interferometry of non-Hermitian quantum impurities
• Weyl points and topological surface states in a three-dimensional elastic lattice
• Quantum Entangled Fractional Topology and Curvatures
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Tunable Topologically-protected Super- and Subradiant Boundary States in One-Dimensional Atomic Arrays
• Atom-photon dressed states in a waveguide-QED system with multiple giant atoms
• Strain topological metamaterials
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Polaritonic Quantum Matter
• Non-Hermitian topology and criticality in photonic arrays with engineered losses
• Ill-defined Topological Phases in Dispersive Photonic Crystals
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Topological properties of two-dimensional photonic square lattice without $C_4$ and $M_{x(y)}$ symmetries
• Duality of Topological Edge States in a Mechanical Kitaev Chain
• Topological inverse band theory in waveguide quantum electrodynamics
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Restoring number conservation in quadratic bosonic Hamiltonians with dualities
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• Generation and Tunability of Supermodes in Tamm Plasmon Topological Superlattices
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Probing topological phases in waveguide superlattices
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Topological two-dimensional Su-Schrieffer-Heeger analogue acoustic networks: Total reflection at corners and corner induced modes
• A unified field theory of topological defects and non-linear local excitations
• Disorder-dressed quantum evolution
• Topological transitions and Anderson localization of light in disordered atomic arrays
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Vector valley Hall edge solitons in superhoneycomb lattices
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• A large-scale single-mode array laser based on a topological edge mode
• Quasicrystalline Weyl points and dense Fermi-Bragg arcs
• Unidirectional modes induced by nontraditional Coriolis force in stratified fluids
• Towards Topological Protection based millimetre wave devices
• Second-order topological modes in two-dimensional continuous media
• Generating Synthetic Magnetism via Floquet Engineering Auxiliary Qubits in Phonon-Cavity-Based Lattice
• Disorder-robust entanglement transport
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Topological valley crystals in a photonic Su-Schrieffer-Heeger (SSH) variant
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
• Doublons, topology and interactions in a one-dimensional lattice
• A soft-clamped topological waveguide for phonons
• Plasmons in two-dimensional lattices of near-field coupled nanoparticles
• Higher-order topological heat conduction on a lattice for detection of corner states
• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Topological plasma transport from a diffusion view
• Experimental demonstration of non-adjacent band topology connecting multiple nodal links
• Topological properties of non-Hermitian Creutz Ladders
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Bulk-interface correspondences for one dimensional topological materials with inversion symmetry
• Wideband tunable infrared topological plasmon polaritons in dimerized chains of doped-silicon nanoparticles
• Single-photon scattering in giant-atom topological-waveguide-QED systems
• Real-space probe for lattice quasiholes
• Tunable directional photon scattering from a pair of superconducting qubits
• A renormalization group approach to non-Hermitian topological quantum criticality
• Coherent control of topological states in an integrated waveguide lattice
• Prethermalization and entanglement dynamics in interacting topological pumps
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Topological states in disordered arrays of dielectric nanoparticles
• Global Mie Scattering
• Experimental demonstration of position-controllable topological interface states in high-frequency topological integrated circuits
• Photonic nodal lines with quadrupole Berry curvature distribution
• Long-lived elementary excitations and light coherence in topological lasers
• Finite-size Topology
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Self-Shielded Topological Receiver Protectors
• Observing 0D subwavelength-localized modes at ~100 THz protected by weak topology
• Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
• Magnetic Exciton-Polariton with Strongly Coupled Atomic and Photonic Anisotropies
• Period-doubled Floquet Solitons
• Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices
• Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Colloquium: Synthetic quantum matter in non-standard geometries
• Photonic band structure design using persistent homology
• Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
• Topological light guiding and trapping via shifted photonic crystal interfaces
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Driven-dissipative topological phases in parametric resonator arrays
• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
• Topological Edge Mode Tapering
• Bulk-edge correspondence and stability of multiple edge states of a $\mathcal{P}\mathcal{T}$ symmetric non-Hermitian system by using non-unitary quantum walks
• Topological edge states in equidistant arrays of Lithium Niobate nano-waveguides
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Floquet edge solitons in modulated trimer waveguide arrays
• Highly degenerate photonic flat bands arising from complete graph configurations
• Acoustic vortex beams in synthetic magnetic fields
• High-Frequency Exciton-Polariton Clock Generator
• Dirac Points Embedded in the Continuum
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
• Classical field model for arrays of photon condensates
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Superfluid Vortices in Four Spatial Dimensions
• Efficiently-coupled microring circuit for on-chip cavity QED with trapped atoms
• Bimerons create bimerons: proliferation and aggregation induced by currents and magnetic fields
• High-degeneracy points protected by site-permutation symmetries
• Non-Hermitian topological phases and skin effects in kagome lattices
• Topological photonics on superconducting quantum circuits with parametric couplings
• Strongly interacting photons in 2D waveguide QED
• Enhancement of photon blockade via topological edge states
• High Transmission in 120-degree Sharp Bends of Inversion-symmetric and Inversion-asymmetric Photonic Crystal Waveguides
• Entangling two giant atoms via a topological waveguide
• Ergodic Edge Modes in the 4D Quantum Hall Effect
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Few-photon optical diode in a chiral waveguide
• Topological Sensing with Photonic Arrays of Resonant Circular Waveguides
• Terahertz topological plasmon polaritons for robust temperature sensing
• Synthetic Mechanical Lattices with Synthetic Interactions
• Nonsymmetric evanescent coupling in photonics
• Manifestation of Berry curvature in geophysical ray tracing
• Non-equilibrium diagrammatic approach to strongly interacting photons
• Polarization and phase textures in lattice plasmon condensates
• Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Observation of gapless corner modes in synthetic translation dimensions
• Quarter-quantized thermal Hall effect with parity anomaly
• Asymmetric Cherenkov Emission in a Topological Plasmonic Waveguide
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Dynamical Detection of Topological Spectral Density
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Observation of topologically distinct corner states in "bearded" photonic Kagome lattices
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Wavefront dislocations reveal the topology of quasi-1D photonic insulators
• One-way reflection-free exciton-polariton spin filtering channel
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides
• Observation of Floquet-induced gap in graphene
• Optical control of topological end states via soliton formation in a 1D lattice
• Spatial and Spectral Mode-Selection Effects in Topological Lasers with Frequency-Dependent Gain
• Computing edge states without hard truncation
• Lasing with Topological Weyl Semimetal
• Link between \emph{Zitterbewegung} and topological phase transition
• Band geometry from position-momentum duality at topological band crossings
• Monopole topological resonators
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Demonstration of non-Abelian frame charge flow in photonic crystals
• Modeling the optical properties of Twisted Bilayer Photonic Crystals
• Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
• Synthetic dimensions and topological chiral currents in mesoscopic rings
• Electric circuit emulation of topological transitions driven by quantum statistics
• Topological Protection and Control of Quantum Markovianity
• Anisotropic non-linear optical response of nodal loop materials
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Dynamical gauge fields with bosonic codes
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• All-optical control of the photonic Hall lattice in a pumped waveguide array
• Subradiant edge states in an atom chain with waveguide-mediated hopping
• Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Intrinsic triple degeneracy point bounded by nodal surfaces in chiral photonic crystal
• A Kapitza Pendulum for Ultracold Atoms
• Linking topological features of the Hofstadter model to optical diffraction figures
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Nonlinear optical response of resonantly driven polaron-polaritons
• Relaying Topological Interface States for Negative Refraction of Bulk Waves
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Effective Floquet model for minimally twisted bilayer graphene
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Network model for higher-order topological phases
• Direct measurement of topological invariants through temporal adiabatic evolution of bulk states in the synthetic Brillouin zone
• Zak Phase Induced Topological Nonreciprocity
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• Transport study of the wormhole effect in three-dimensional topological insulators
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Topological quantum optical states in quasiperiodic cold atomic chains
• Detecting topology through dynamics in interacting fermionic wires
• Tunable topological edge modes in Su-Schrieffer-Heeger arrays
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Photonic analogue of Mollow triplet with on-chip photon pair generation in dressed modes
• Direct observation of energy band attraction effect in non-Hermitian systems
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
• Electrically tunable liquid-crystal metasurfaces with patterned birefringence and dichroism
• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Phononic drumhead surface state in distorted kagome compound RhPb
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Topological Materials for Near-Field Radiative Heat Transfer
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Observation of nonlinear topological corner states originating from different spectral charges
• Topologically protected frequency control of broadband signals in dynamically modulated waveguide arrays
• Generalized phase-space description of non-linear Hamiltonian systems and the Harper-like dynamics
• Autonomous stabilization of photonic Laughlin states through angular momentum potentials
• Topologically invisible defects in chiral mirror lattices
• Photon-photon polaritons in chi(2) microresonators
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Probing and harnessing photonic Fermi arc surface states using light-matter interactions
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Viscoelastic dynamics of a soft strip subject to a large deformation
• Topological edge states of nonequilibrium polaritons in hollow honeycomb arrays
• Quantum topology in the ultrastrong coupling regime
• Unveiling spin-orbital angular momentum locking in photonic Dirac vortex cavities
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Bilayer crystals of trapped ions for quantum information processing
• Chirality Dependent Photon Transport and Helical Superradiance
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• Toolbox for nonreciprocal dispersive models in circuit QED
• Dynamical Fragile Topology in Floquet Crystals
• Disorder-induced topology in quench dynamics
• Topological line in frustrated Toric code models
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Anomalous criticality with bounded fluctuations and long-range frustration induced by broken time-reversal symmetry
• Complex semiclassical theory for non-Hermitian quantum systems
• Plateau transitions of spin pump and bulk-edge correspondence
• Application of topological edge states in magnetic resonance imaging
• Higher-order topological phase of interacting photon pairs
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Pico-photonics: Anomalous Atomistic Waves in Silicon
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Energy density as a probe of band representations in photonic crystals
• Helical transport in coupled resonator waveguides
• Topological protection in nonlinear optical dynamics with parity-time symmetry
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Higher-order topological insulator in a modified Haldane-Hubbard model
• A topological Dirac-vortex parametric phonon laser
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Chiral orbital order of interacting bosons without higher bands
• Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
• Topological van Hove singularities at phase transitions in Weyl metals
• Topological order versus many-body localization in periodically modulated spin chains
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• From the geometry of Foucault pendulum to the topology of planetary waves
• Intercavity polariton slows down dynamics in strongly coupled cavities
• Acoustic spin and orbital angular momentum using evanescent Bessel beams
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• The effect of isovalent doping on the electronic band structure of group IV semiconductors
• Discriminant indicators with generalized inversion symmetry
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Quantum phases of two-component bosons on the Harper-Hofstadter ladder
• Disorder-Protected Quantum State Transmission through Helical Coupled-Resonator Waveguides
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• Stability of dynamical topology against dynamical noise in quantum quenches
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Multiple polaritonic edge states in a Su-Schrieffer-Heeger chain strongly coupled to a multimode cavity
• Ground state topology of a four-terminal superconducting double quantum dot
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Non-Hermitian laser arrays with tunable phase locking
• Nonlinear Topological Edge States: from Dynamic Delocalization to Thermalization
• Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
• Kibble-Zurek mechanism in polariton graphene
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Linearized theory of the fluctuation dynamics in 2D topological lasers
• Supersymmetric non-Hermitian topological interface laser
• Generic Optical Singularities in Brewster-reflected Post-paraxial Beam-fields
• Eigenmodes of the Laplacian on Hyperbolic Lattices
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays
• Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
• Realization of Z${}_2$ topological photonic insulators made from multilayer transition metal dichalcogenides
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Higher-order topological corner states induced solely by onsite potentials with mirror symmetry
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• Topological zero modes and correlation pumping in an engineered Kondo lattice
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Non-Hermitian semi-Dirac semi-metals
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Discrete Approximation of Topologically Protected Modes in Magneto-Optical Media
• Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
• Complete absorption of topologically protected waves
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• Mode-selective Single-dipole Excitation and Controlled Routing of Guided Waves in a Multi-mode Topological Waveguide
• Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Light-induced fictitious magnetic fields for quantum storage in cold atomic ensembles
• Generic theory of characterizing topological phases under quantum slow dynamics
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Microwave hinge states in a simple-cubic-lattice photonic crystal insulator
• Topological Insulators with Hybrid-order Boundary States
• Topological Classical Systems with Generalized Chiral Symmetry
• Fractal Nodal Band Structures
• Managing the Flow of Liquid Light
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Nonlinear Switch and Spatial Lattice Solitons of Photonic s-p Orbitals
• Floquet Topological Dissipative Kerr Solitons and Incommensurate Frequency Combs
• Weyl points and exceptional rings with polaritons in bulk semiconductors
• Few-to-many vortex states of density-angular-momentum coupled Bose-Einstein condensates
• Relating the Hall conductivity to the many-body Chern number using Fermi's Golden rule and Kramers-Kronig relations
• Topological Corner Modes by Composite Wannier States in Glide-Symmetric Photonic Crystal
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Band alignment effect in the topological photonic alloy
• Floquet topological insulators with hybrid edges
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• A local test for global extrema in the dispersion relation of a periodic graph
• Gravitational Response of Topological Quantum States of Matter
• Floquet States
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Dirac Solitons and Topological Edge States in the $\beta$-Fermi-Pasta-Ulam-Tsingou dimer lattice
• Velocity Scanning Tomography for Room-Temperature Quantum Simulation
• General theory for infernal points in non-Hermitian systems
• Topological phonons in arrays of ultracold dipolar particles
• On-chip multi-timescale spatiotemporal optical synchronization
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Spin-momentum locked modes on anti-phase boundaries in photonic crystals
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Realization of topological superlattices and the associated interface states in one-dimensional plasmonic crystals
• Nonlinear signatures of Floquet band topology
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Edge mode bifurcations of two-dimensional topological lasers
• Optimal design of fast topological pumping
• Optical isolators based on non-reciprocal four-wave mixing
• Topological modes in relativistic hydrodynamics
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Wannier center spectroscopy to identify boundary-obstructed topological insulators
• Tunability of Spin-Dependent Secondary Topological Interface States Induced in an Optical Complex Superlattice
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
• Non-Hermitian tuned topological band gap
• Tunable beam splitting via photorefractive nonlinearity and its applications in chiral waveguide induction and vortex generation
• Experimental probe of band structures of bilayer valley photonic crystals
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Relative homotopy approach to topological phases in quantum walks
• Simulating Topological Robustness of Fano Resonance in Rotated Honeycomb Photonic Crystals
• Identifying topology of leaky photonic lattices with machine learning
• Dirac operators and domain walls
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Emission of nitrogen-vacancy centers in diamond shaped by topological photonic waveguide modes
• Small mode volume topological photonic states in one-dimensional lattices with dipole--quadrupole interactions
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• A generalized Gross-Pitaevskii model for intersubband polariton lasing
• Artificial magnetic field for synthetic quantum matter without dynamical modulation
• Energy polarization and energy pumping in Rice-Mele chains
• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Hierarchical Topological States in Thermal Diffusive Networks
• Dipolar polaritons squeezed at unitarity
• Quantum Liouville's theorem based on Haar measure
• Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array
• Soliton metacrystals: topology and chirality
• Optically controllable coupling between edge and topological interface modes of graphene metasurfaces
• Topological Floquet bound states in the continuum
• Topological edge solitons in \{chi}(2) waveguide arrays
• Upper bound of a band complex
• Topology of Discrete Quantum Feedback Control
• Topological Degeneracy Induced by Twisting
• Projective symmetry determined topology in flux Su-Schrieffer-Heeger model
• Relativistic Anyon Beam: Construction and Properties
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Topological photon pumping in quantum optical systems
• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Second Euler number in four dimensional synthetic matter
• Visualization of Photonic Band Structures via Far-field Measurements in SiNx Photonic Crystal Slabs
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Impurity and dispersion effects on the linear magnetoresistance in the quantum limit
• On the role of geometric phase in the dynamics of elastic waveguides
• $\pi$-solitons on a ring of waveguides
• Tailoring higher-order topological phases via orbital hybridization
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Edge states of photon pairs in cavity arrays with spatially modulated nonlinearity
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Four-wave mixing Floquet topological soliton
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Geometry and Topological photonics
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Influence of the bus waveguide on the linear and nonlinear response of a taiji microresonator
• Compact inductor-capacitor resonators at sub-gigahertz frequencies
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Observation of nonlinear higher-order topological insulators with unconventional boundary truncations
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• Spontaneous quantum superradiant emission in atomic Bose-Einstein condensates subject to a synthetic vector potential
• Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics
• Spectroscopy and topological properties of a Haldane light system
• Atom-field dynamics in curved spacetime
• Mode Delocalization in Disordered Photonic Chern Insulator
• Intensity Correlation Measurement to Simulate Two-body BICs and Probe Nonlinear Discrete Breathers
• Topology in a one-dimensional plasmonic crystal
• Topological states constructed by two different trivial quantum wires
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Quasiperiodicity protects quantized transport in disordered systems without gaps
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Resonant Parametric Photon Generation in Waveguide-coupled Quantum Emitter Arrays
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• The One-dimensional Chiral Anomaly and its Disorder Response
• Observation of photonic spin-momentum locking due to coupling of achiral metamaterials and quantum dots
• Non-reciprocal population dynamics in a quantum trimer
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: gauge matters
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Coupled pair of one and two dimensional magneto-plasmons on electrons on helium
• Dimensional hierarchy of topological bound states in the continuum
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Unveiling Symmetry Instability induced by Topological Phase Transitions
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• External control of qubit-photon interaction and multi-qubit reset in a dissipative quantum network
• $\mathcal{P}\mathcal{T}$-symmetric photonic lattices with type-II Dirac cones
• Floquet valley Hall edge solitons
• Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Signature of edge states in resonant wave scattering
• The Peripheral Vortex Biome of Confined Quantum Fluids and Its Influence on Vortex Pair Annihilation
• Enhanced Directional Quantum Emission by Tunable Topological Doubly-Resonant Cavities
• Tuning bulk topological magnon properties with light-induced magnons
• Arbitrary Polarization-Independent Backscattering or Reflection by Rotationally-Symmetric Reciprocal Structures
• Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
• Topological split-ring resonator based metamaterials with $\mathcal{P}\mathcal{T}$ symmetry relying on gain and loss
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• Valley photonic crystal waveguides fabricated with CMOS-compatible process
• A Squeezed Vacuum State Laser with Zero Diffusion
• Hermitian and non-Hermitian topology in active matter
• Transversality-Enforced Tight-Binding Models for 3D Photonic Crystals aided by Topological Quantum Chemistry
• Synthetic mean-field interactions in photonic lattices
• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• Spatiotemporal dynamics in a twisted, circular waveguide array
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• Quantum transport phenomena induced by time-dependent fields
• Analogue time machine in a photonic system
• Topological impact of a simple self-replication geometric structure with great application potential in vacuum pumping and photovoltaic industry
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Synthetic plasmonic lattice formation through invariant frequency comb excitation in graphene structures
• Anisotropic exciton-polaritons reveal non-Hermitian topology in van der Waals materials
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Time delay in a disordered topological system
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Topological photonics by breaking the degeneracy of line node singularities in semimetal-like photonic crystals
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Topological Micro-Electro-Mechanical Systems
• Ratchet effect in frequency-modulated waveguide-coupled emitter arrays
• Takagi Topological Insulator on the Honeycomb Lattice
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• Brillouin Platycosms and Topological Phases
• Non-Hermitian physics and engineering in silicon photonics
• Floquet defect solitons
• Topological aspects in nonlinear optical frequency conversion
• Reconfigurable Non-Hermitian Soliton Combs using Dissipative Couplings and Topological Windings
• Tutorial: Topology, waves, and the refractive index
• Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend
• Asymmetric Chiral Coupling in a Topological Resonator
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Mirror optical activity: efficient chiral sensing from electromagnetic parity indefiniteness
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Floquet control of interactions and edge states in a programmable quantum simulator
• Cavity-mediated electron hopping in disordered quantum Hall systems
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Breaking reciprocity by designed loss
• Thermal Uhlmann phase in a locally driven two-spin system
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Manifestation of a topological gapless phase in a two-dimensional chiral symmetric system through Loschmidt echo
• Topological Computation by non-Abelian Braiding in Classical Metamaterials
• Topological invariants and topological charges in photonic systems
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• Moiré pattern of spin liquid and Neel magnet in a Kitaev chain
• Dynamics of transmission in disordered topological insulators
• Topologically protected quantization of work
• Single-shot measurement of photonic topological invariant
• From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Projective Spacetime Symmetry of Spacetime Crystals
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Topology reconstruction for asymmetric systems by isomorphic mapping or perturbation approximation
• Data-driven model reconstruction for nonlinear wave dynamics
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Robust qubit interactions mediated by photonic topological edge states
• Topological edge flows drive macroscopic re-organization in magnetic colloids
• Quantum transient heat transport in the hyper-parametric oscillator
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Rotating topological edge solitons
• Self-induced nonreciprocity from asymmetric photonic topological insulators
• Klein Tunneling of Gigahertz Elastic Waves in Nanoelectromechanical Metamaterials
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Hybrid method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector pillars: formalism and its application to topological photonics
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators
• Efficient algorithms for surface density of states in topological photonic and acoustic systems
• Nonreciprocal transition between two indirectly coupled energy levels
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Realization of chiral whispering gallery mode cavities enabled by photonic Chern insulators
• Exceptional mode topological surface laser
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
• One-dimensional Dexter-type excitonic topological phase transition
• Classification of unitary operators by local generatability
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Chiral Gravitons on the Lattice
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Inverse design of dual-band valley-Hall topological photonic crystals with arbitrary pseudospin states
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Topological phase transition in anti-symmetric Lotka-Volterra doublet chain
• Quantum Signatures of Topological Phase in Bosonic Quadratic System
• Steering edge currents through a Floquet topological insulator
• Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
• Topologically induced transparency in a two-phase metamaterial
• Theory of hydrodynamic phenomena in optical mesh lattices
• Magnetic on-off switching of a plasmonic laser
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Electromagnetically induced transparency in inhomogeneously broadened divacancy defect ensembles in SiC
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Robust nonequilibrium edge currents with and without band topology
• Asymmetric topological pumping in nonparaxial photonics
• Degenerate Topological Edge States in Multimer Chains
• Bulk properties of honeycomb lattices of superconducting microwave resonators
• Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
• Magnon topology driven by altermagnetism
• Harmonic generation in bent graphene with artificially-enhanced spin-orbit coupling
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Thresholdless corner vortex solitons in fractal Sierpiński topological insulators
• Polariton Topological Insulators with Disclinations
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Quadratic solitons in higher-order topological insulators
• Non-linear-enabled localization in driven-dissipative photonic lattices
• Arboreal Obstructed Atomic Insulating and Metallic Phases of Fermions
• Revealing inverted chirality of hidden domain wall states in multiband systems without topological transition
• Time-delayed collective dynamics in waveguide QED and bosonic quantum networks
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Dissipation-assisted few-photon optical diode
• Topological band insulators without translational symmetry
• Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Theory of quantum spin-Hall topological lasers
• Topological transitions controlled by the interaction range
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• The Lieb excitations and topological flat mode of spectral function of Tonks-Girardeau gas in Kronig-Penney potential
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Self-induced manipulation of biphoton entanglement in topologically distinct modes
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Recent progress on disorder-induced topological phases
• Integration of the Berry curvature on a qubit state manifold by coupling to a quantum meter system
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Topological phase transition and its stability against an applied magnetic field in a class of low dimensional decorated lattices
• More on Topological Hydrodynamic Modes
• Synthetic fractional flux quanta in a ring of superconducting qubits
• Finite-temperature topological magnons in honeycomb ferromagnets with sublattice asymmetries
• Synthetic-lattice Bloch wave dynamics in a single-mode microwave resonator
• Manipulation of photonic topological edge and corner states via trivial claddings
• Floquet states on disclinations
• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir
• Determining non-Hermitian parent Hamiltonian from a single eigenstate
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Photonic topological Anderson insulator in a two-dimensional atomic lattice
• Bosonic Holes in Quadratic Bosonic Systems
• All-optical switching at the two-photon limit with interference-localized states
• Correlations in Circular Quantum Cascades
• Network model for magnetic higher-order topological phases
• Anti-parity-time topologically undefined state
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Manipulating Topological Polaritons in Optomechanical Ladders
• Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide
• Fate of surface gaps in magnetic topological insulators
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics
• Analytic bulk-edge connection in circular-symmetric models
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Position operators in terms of converging finite-dimensional matrices: Exploring their interplay with geometry, transport, and gauge theory
• Nonlinear topological symmetry protection in a dissipative system
• Massive Klein Tunneling in Topological Photonic Crystals
• Effective Medium Perspective on Topological Transitions in Metamaterials
• Topological phases in interacting spin-1 systems
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Chiral quantum optics with giant atoms
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Nonlinear dynamical topological phases in Cooper-pair box array
• Topological Signature of Stratospheric Poincare -- Gravity Waves
• Spin photonic topological metasurface based on kagome lattice and leaky-wave application
• Propagation of light through amplifying honeycomb photonic lattice
• Extended Haldane model -- a modern gateway to topological insulators
• Scattering of a Dirac particle by a Berry phase domain wall
• Topological photonic crystal fibre
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Nonreciprocal Local-Resonance Induced Complex Band Hybridization
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process
• Topology of the simplest gene switch
• Anti-higher-order Weyl semimetal
• Topological states of generalized dissipative Majorana wires
• Weak-coupling bound states in semi-infinite topological waveguide QED
• Oscillating edge states in polariton topological insulators
• Stable vortex soliton arrays in disclination-fractal systems
• Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models
• Exceptional light propagation via generalized bulk-edge correspondence
• Non-self-averaging topological Anderson insulator
• Two dimensional sub-wavelength topological dark state lattices
• Rhombohedral graphite junctions as a platform for continuous tuning between topologically trivial and non-trivial electronic phases
• Three-dimensional higher-order topological insulator protected by cubic symmetry
• Light confinement by local index tailoring in inhomogeneous dielectrics
• Theory of classical electrodynamics with topologically quantized singularities as electric charges
• Analytical solutions of topological surface states in a series of lattice models
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Dynamical Signatures of Floquet Topology in Wave Packet Dynamics
• Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas
• Insensitive nonreciprocal edge breathers
• Layer-number parity induced topological phase transition
• Nonlocality-induced surface localization in Bose-Einstein condensates of light
• Floquet solitons in square lattices: Existence, Stability and Dynamics
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Theoretical description of interface states in a tetragonal lattice of bianisotropic resonators
• Loss-driven topological transitions in lasing
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Nonlinear optical response of Type-II Weyl fermions in two dimensions
• Soliton Pumping in the Rice-Mele Model with On-Cell Kerr Nonlinearity
• Equatorial magnetoplasma waves
• Non-Hermitian second-order topological insulator with point gap
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Covariant formulation of the Berry connection in non-Hermitian systems
• On the origin of energy gaps in quasicrystalline potentials
• Emergent topological properties in spatially modulated sub-wavelength barrier lattices
• Multiterminal Josephson junctions with tunable topological properties
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Supermetal-insulator transition in a non-Hermitian network model
• Reciprocal Quantum Electrodynamics with Bound States in the Continuum
• Phase Structure and Machine Learning Identification in One Dimensional Systems with Power Law Correlated Disorder and Long Range Hopping
• Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals
• Dynamics of interacting bosons in a two-leg ring ladder with artificial magnetic flux and ac-driven modulations
• Design and characterization of all two-dimensional fragile topological bands
• Supercontinuum generation from Topological Edge Supermodes in a short SSH Photonic Crystal Fiber
• Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
• Photonic quantum Hall effects
• Topological Magnon-Plasmon Hybrids
• Quantum Hall correlations in tilted extended Bose-Hubbard chains
• Immutable quantized transport in Floquet chains
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• Topological Photonics on a Small Scale
• Localization and topological signatures under periodic twisting
• Topological optical and phononic interface mode by simultaneous band inversion
• Extraordinary transverse spin: Hidden vorticity of the energy flow and momentum distributions in propagating light fields
• Time-resolved spectroscopy of noise-driven collective states of light
• Tunable multi-magnon Floquet topological edge states
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Exploring Unconventional Features Of Light Dynamics In Aubrey-Andre-Harper Model Based Quasi-periodic Optical Lattices
• Characterizing the transition from topology to chaos in a kicked quantum system
• Asymmetric real topology of conduction and valence bands
• Quantum phase transition of light in the dissipative Rabi-Hubbard lattice: A dressed-master-equation perspective
• Entanglement entropy as a probe of topological phase transitions
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Gauge theory for topological waves in continuum fluids with odd viscosity
• The analytically tractable zoo of similarity-induced exceptional structures
• Topological two-particle dynamics in a periodically driven lattice model with on-site interactions
• Controlling directional propagation in driven-dissipative 2D photonic lattices
• Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Zak Phase Dislocations in Trimer Lattices
• Quadrature skyrmions in two-dimensionally arrayed parametric resonators
• Controlled Quantized Adiabatic Transport in a superlattice Wannier-Stark ladder
• Simulating monitoring-induced topological phase transitions with small systems
• Lithium Niobate Photonic Topological Insulator-based Multi-Wavelength Optical Demultiplexer with Piezoelectric Switch-Off
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Tunneling-induced fractal transmission in Valley Hall waveguides
• Classical 'spin' filtering with two degrees of freedom and dissipation
• Quantum geometric scattering of a Dirac particle by a Berry curvature domain wall
• Fractional quantum Hall edge polaritons
• Non-Abelian gauge field optics in the time domain
• Single $\pi$-flux hosting topological defect modes in bilayer acoustic metamaterials
• Topological junctions for one-dimensional systems
• Self-Accelerating Topological Edge States
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Phase fields in momentum space of photonic crystal slabs
• Fractal Polariton Topological Insulator
• Chiral solitary waves in a nonlinear topological insulator model
• Dynamics of transport by helical edge states
• Beyond Decoherence: Control the Collective Quantum Dynamics of Quasi Particles in Topological Interface
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field