Photonic Floquet Topological Insulators

Abstract

The topological insulator is a fundamentally new phase of matter, with the striking property that the conduction of electrons occurs only on its surface, not within the bulk, and that conduction is topologically protected. Topological protection, the total lack of scattering of electron waves by disorder, is perhaps the most fascinating and technologically important aspect of this material: it provides robustness that is otherwise known only for superconductors. However, unlike superconductivity and the quantum Hall effect, which necessitate low temperatures or magnetic fields, the immunity to disorder of topological insulators occurs at room temperature and without any external magnetic field. For this reason, topological protection is predicted to have wide-ranging applications in fault-tolerant quantum computing and spintronics. Recently, a large theoretical effort has been directed towards bringing the concept into the domain of photonics: achieving topological protection of light at optical frequencies. Besides the interesting new physics involved, photonic topological insulators hold the promise for applications in optical isolation and robust photon transport. Here, we theoretically propose and experimentally demonstrate the first photonic topological insulator: a photonic lattice exhibiting topologically protected transport on the lattice edges, without the need for any external field. The system is composed of an array of helical waveguides, evanescently coupled to one another, and arranged in a graphene-like honeycomb lattice. The chirality of the waveguides results in scatter-free, one-way edge states that are topologically protected from scattering.

21 pages, 5 figures

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• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Local invariants identify topology in metals and gapless systems
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• Multidimensional dissipative solitons and solitary vortices
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• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Active Valley-topological Plasmonic Crystal in Metagate-tuned Graphene
• Optical Hall conductivity of a Floquet Topological Insulator
• Observation of dynamical phase transitions in a topological nanomechanical system
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• Floquet band structure of a semi-Dirac system
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• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• Topological states in quasicrystals
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• Thermal spin photonics in the near-field of nonreciprocal media
• Geometric approach to inhomogeneous Floquet systems
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Topological Valley Hall Edge State Lasing
• Topologically Protected Quantum Coherence in a Superatom
• Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
• Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
• Edge Solitons in Lieb Topological Floquet Insulators
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Dynamical many-body phases of the parametrically driven, dissipative Dicke model
• Floquet control of quantum dissipation in spin chains
• Topological photonics: fundamental concepts, recent developments, and future directions
• Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
• A platform for electrically pumped polariton simulators and topological lasers
• Effects of interactions on periodically driven dynamically localized systems
• Layered Photonic Topological Insulators
• Floquet Weyl Phases in a Three Dimensional Network Model
• Unified theory to characterize Floquet topological phases by quench dynamics
• Observation of nonlinear disclination states
• Hall Response and Edge Current Dynamics in Chern Insulators out of Equilibrium
• Dual topological characterization of non-Hermitian Floquet phases
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• Theory of the coherence of topological lasers
• Topological phases of quantized light
• Edge-state enhanced transport in a 2-dimensional quantum walk
• A Semiconductor Topological Photonic Ring Resonator
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Wannier representation of Floquet topological states
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Observation of topological frequency combs
• Topological dipole Floquet solitons
• Continuous bulk and interface description of topological insulators
• Anomalous and normal dislocation modes in Floquet topological insulators
• Plasmon-polaritonic quadrupole topological insulators
• Non-Hermitian Floquet Topological Matter -- A Review
• Critical couplings in topological-insulator waveguide-resonator systems observed in elastic waves
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Fermionic time-reversal symmetry in a photonic topological insulator
• Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
• Four-band non-Abelian topological insulator and its experimental realization
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Floquet bound states in the continuum
• Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems
• Phase rotation symmetry and the topology of oriented scattering networks
• Dynamic Optical Superlattices with Topological Bands
• GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
• Effective Floquet Hamiltonian in the low-frequency regime
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Quantum gyro-electric effect: Photon spin-1 quantization in continuum topological bosonic phases
• Topological thermal transport
• Microwave Applications of Photonic Topological Insulators
• Mimicking Nonequilibrium Steady States with Stochastic Pumps
• Topological phase transitions in superradiance lattices
• The effects of three-dimensional defects on one-way surface plasmon propagation for photonic topological insulators comprised of continuous media
• Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
• Is there a Floquet Lindbladian?
• Non-reciprocal transmission in photonic lattices based on unidirectional coherent perfect absorption
• A photonic thermalization gap in disordered lattices
• Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
• Selective Population of Edge States in a 2D Topological Band System
• Photonic corner skin modes
• Universal fluctuations of Floquet topological invariants at low frequencies
• Non-Abelian effects in dissipative photonic topological lattices
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Floquet edge states in a harmonically driven integer quantum Hall system
• Fractional Quantum Hall States of Rydberg Polaritons
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Topological Angular Momentum and Radiative Heat Transport in Closed Orbits
• Topological two-body bound states in the interacting Haldane model
• Periodically Driven Sachdev-Ye-Kitaev Models
• Topological insulators in longitudinally driven waveguides: Lieb and Kagome lattices
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Topological Invariants in Point Group Symmetric Photonic Topological Insulators
• Dynamic defects in photonic Floquet topological insulators
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Direct prediction of corner state configurations from edge winding numbers in 2D and 3D chiral-symmetric lattice systems
• Transport properties in the photonic super-honeycomb lattice - a hybrid fermionic and bosonic system
• Topological Heat Transport and Symmetry-Protected Boson Currents
• Observation of Dirac hierarchy in three-dimensional acoustic topological insulators
• Three-Dimensional Topological Twistronics
• Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices
• Replica resummation of the Baker-Campbell-Hausdorff series
• Floquet topological phase transitions in a periodically quenched dimer
• Controlling Directionality and Dimensionality of Wave Propagation through Separable Bound States in the Continuum
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Control of light scattering by nanoparticles with optically-induced magnetic responses
• Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
• Laughlin's topological charge pump in an atomic Hall cylinder
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• State-recycling and time-resolved imaging in topological photonic lattices
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Topological growing of Laughlin states in synthetic gauge fields
• Dynamic localization of light from a time-dependent effective gauge field for photons
• Universal chiral quasi-steady states in periodically driven many-body systems
• Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Field-effect induced tunability in planar hyperbolic metamaterials
• Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial
• Transport properties of continuous-time quantum walks on Sierpinski fractals
• Finite size effects on topological interface states in one-dimensional scattering systems
• Photonic realization of a generic type of graphene edge states exhibiting topological flat band
• Topological energy conversion through bulk or boundary of driven systems
• Topological input-output theory for directional amplification
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Topological instabilities in ac-driven bosonic systems
• Topologically non-trivial photonic surface degeneracy in a photonic metamaterial
• Topological supermodes in photonic crystal fiber
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
• Smart patterning for topological pumping of elastic surface waves
• Photonic Chern insulator through homogenization of an array of particles
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
• Time-induced second-order topological superconductors
• Topologically non-trivial magnon bands in artificial square spin ices subject to Dzyaloshinskii-Moriya interaction
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• How to Directly Measure Floquet Topological Invariants in Optical Lattices
• Loss-induced Floquet non-Hermitian skin effect
• Floquet Hopf Insulators
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Differential topology of semimetals
• Symmetry and topological classification of Floquet non-Hermitian systems
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Robust entanglement with 3D nonreciprocal photonic topological insulators
• Topologically protected Fano resonance in photonic valley Hall insulators
• Evolution of topological edge modes from honeycomb photonic crystals to triangular-lattice photonic crystals
• Observation of Floquet Raman transition in a driven solid-state spin system
• Real-space detection and manipulation of topological edge modes with ultracold atoms
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Kagome Lattice from Exciton-Polariton Perspective
• From triple-point materials to multiband nodal links
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Chiral topological light for detecting robust enantio-sensitive observables
• Designing topological interface states in phononic crystals based on the full phase diagrams
• Universal momentum-to-real-space mapping of topological singularities
• Theory of chiral edge state lasing in a two-dimensional topological system
• Non-local topological electromagnetic phases of matter
• Dynamic steady-state of periodically-driven quantum systems
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Anomalous Quadrupole Topological Insulators in 2D Nonsymmorphic Sonic Crystals
• The Application of Tailored Fields for Studying Chirality and Symmetry
• Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
• An operator-based approach to topological photonics
• Realization of Zero-Refractive-Index Lens with Ultralow Spherical Aberration
• Spin and topological order in a periodically driven spin chain
• Fermi's golden rule for heating in strongly driven Floquet systems
• Observing light-induced Floquet band gaps in the longitudinal conductivity of graphene
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Canonical versus noncanonical equilibration dynamics of open quantum systems
• Topological valley transport under long-range deformations
• Tunable Band Topology in Gyroscopic Lattices
• Limits of topological protection under local periodic driving
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Topological Ring-Cavity Laser Formed by Honeycomb Photonic Crystals
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Quantum simulation of thermodynamics in an integrated quantum photonic processor
• Self-Assembled Chiral Photonic Crystals From Colloidal Helices Racemate
• Topological slow light via coupling chiral edge modes with flat bands
• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Optically driven rotation of exciton-polariton condensates
• Exact Solution for the Protected TEM edge mode in a PTD-Symmetric Parallel-Plate Waveguide
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Simulation of topological phases with color center arrays in phononic crystals
• Topological mechanics in quasicrystals
• Observation of valley Landau-Zener-Bloch oscillations and pseudospin imbalance in photonic graphene
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Angular-dependent Klein tunneling in photonic graphene
• Localizing softness and stress along loops in three-dimensional topological metamaterials
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Valley controlled propagation of pseudospin states in bulk metacrystal waveguides
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Topological phase transition measured in a dissipative metamaterial
• One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
• Colloidal topological insulators
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Robust surface plasmon polaritons on gyrotropic interfaces
• Topological Anderson phase in quasi-periodic waveguide lattices
• Bragg solitons in topological Floquet insulators
• Identifying Topological Phase Transitions in Experiments Using Manifold Learning
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Observation of nonlinear fractal higher-order topological insulator
• Off-resonant polarized light-controlled thermoelectric transport in ultrathin topological insulators
• Quantized topological energy pumping and Weyl points in Floquet synthetic dimensions with a driven-dissipative photonic molecule
• Topological states in arrays of optical waveguides engineered via mode interference
• Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Quantized large-bias current in the anomalous Floquet-Anderson insulator
• Statistical PT-symmetric lasing in an optical fiber network
• Ring Dirac Solitons in Nonlinear Topological Lattices
• Interlayer Topological Transport and Devices based on Layer Pseudospins in Photonic Valley-Hall Phases
• Exciting Reflectionless Unidirectional Edge Modes in a Reciprocal Photonic Topological Insulator Medium
• Stability and pre-thermalization in chains of classical kicked rotors
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Topological swing in Bloch oscillations
• Floquet topological insulator laser
• Simulation of 1D topological phases in driven quantum dot arrays
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Dynamic skin effects in non-Hermitian systems
• Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
• Dark topological valley Hall edge solitons
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Tunable Fragile Topology in Floquet Systems
• Valley vortex states and degeneracy lifting via photonic higher-band excitation
• Edge and bulk localization of Floquet topological superconductors
• Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Mathematical theory for topological photonic materials in one dimension
• Gauge-induced Floquet topological states in photonic waveguides
• Topological Metamaterials based on polariton rings
• Classifying topology in photonic heterostructures with gapless environments
• A dissipative time crystal with or without ${\mathbb{Z}}_2$ symmetry breaking
• Bulk detection of time-dependent topological transitions in quenched chiral models
• Interface states in polariton topological insulators
• Conical diffraction and the dispersion surface of hyperbolic metamaterials
• Controlling Floquet states on ultrashort time scales
• Non-diffracting states in one-dimensional Floquet photonic topological insulators
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Liquid-crystal-based topological photonics
• Asymmetric lasing at spectral singularities
• Controlling Exceptional Points with Light
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
• Floquet topological phase of nondriven $p$-wave nonequilibrium excitonic insulators
• Topological Floquet engineering using two frequencies in two dimensions
• A quantum resonance catastrophe for transport through an AC driven impurity
• Topological phase transition in a stretchable photonic crystal
• Spatial Goos-Hänchen shift in photonic graphene
• Antichiral states in twisted graphene multilayers
• Fractional Topological Phases in Generalized Hofstadter Bands with Arbitrary Chern Numbers
• Symmetry in optics and photonics: a group theory approach
• Square-root Floquet topological phases and time crystals
• Topological origin of electromagnetic energy sinks
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Towards a Floquet-Network Theory of Non-Reciprocal Transport
• Topologically-enforced bifurcations in superconducting circuits
• Phase Transition in the periodically pulsed Dicke Model
• New face-centered photonic square lattices with flat bands
• Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
• 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
• Biphoton entanglement of topologically-distinct modes
• Laser-written vapor cells for chip-scale atomic sensing and spectroscopy
• Symmetry Analysis of Anomalous Floquet Topological Phases
• Floquet higher-order Weyl and nexus semimetals
• Observation of Ground and Excited Flat Band States in Graphene Photonic Ribbons
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Observation of Floquet topological phases with large Chern numbers
• Klein tunneling in driven-dissipative photonic graphene
• Dissipatively Coupled Waveguide Networks for Coherent Diffusive Photonics
• Radiative topological biphoton states in modulated qubit arrays
• Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Supersymmetric polarization anomaly in photonic discrete-time quantum walks
• Evolution of Floquet Topological Quantum States in Driven Semiconductors
• Efficient algorithm to compute the second Chern number in four dimensional systems
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Edge states in dynamical superlattices
• Topology and localization of a periodically driven Kitaev model
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• Engineering exotic second-order topological semimetals by periodic driving
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Seeing bulk topological properties of band insulators in small photonic lattices
• Lattice symmetries, spectral topology and opto-electronic properties of graphene-like materials
• Dirac fermion time-Floquet crystal: manipulating Dirac points
• Interacting Stochastic Topology and Mott Transition from Light Response
• Topological polaritons from photonic Dirac cones coupled to excitons in a magnetic field
• Generalized Laws of Refraction and Reflection at Interfaces between Different Photonic Artificial Gauge Fields
• Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Self-learning Machines based on Hamiltonian Echo Backpropagation
• Realization of a Topological Phase Transition in a Gyroscopic Lattice
• Lattice symmetries and the topological protected transport of colloidal particles
• Optically driven collective spin excitations and magnetization dynamics in the Néel-type skyrmion host GaV${}_4$S${}_8$
• Dynamics of topological light states in spiraling structures
• Space-Time Phononic Crystals with Anomalous Topological Edge States
• Pure spin current and perfect valley filter by designed separation of the chiral states in two-dimensional honeycomb lattices
• Topological Floquet edge states in periodically curved waveguides
• Strong transmission and reflection of edge modes in bounded photonic graphene
• Photonic analogues of the Haldane and Kane-Mele models
• Nonlinear photonic disclination states
• Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Optically induced topological superconductivity via Floquet interaction engineering
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• Many-body braiding phases in a rotating strongly correlated photon gas
• Generation and Manipulation of Localized Modes in Floquet Topological Insulators
• Topological invariants for Floquet-Bloch systems with chiral, time-reversal, or particle-hole symmetry
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Fibonacci steady states in a driven integrable quantum system
• Topological proximity effects in a Haldane-graphene bilayer system
• Triplon band splitting and topologically protected edge states in the dimerized antiferromagnet
• Disordered Chern insulator with a two step Floquet drive
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Observation of twist-induced geometric phases and inhibition of optical tunneling via Aharonov-Bohm effects
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Chiral 1D Floquet topological insulators beyond rotating wave approximation
• Geometric phase of Wannier-Stark ladders in alkaline-earth(-like) atoms
• Quantum walks in synthetic gauge fields with 3D integrated photonics
• Topologically protected strongly-correlated states of photons
• Rabi-like oscillation of photonic topological valley Hall edge states
• Generation of higher-order topological insulators using periodic driving
• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• Topologically nontrivial magnonic solitons
• Rapid Exploration of Topological Band Structures using Deep Learning
• Photonic topological phase transition induced by material phase transition
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Time-dependent high-contrast subwavelength resonators
• Transverse angular momentum in topological photonic crystals
• Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description
• Robust Topological Terahertz Circuits using Semiconductors
• Chirality in photonic systems
• Quantized Angular Momentum in Topological Optical Systems
• Topologically protected colloidal transport above a square magnetic lattice
• Engineering topological phases of any winding and Chern numbers in extended Su-Schrieffer-Heeger models
• Topological phase transitions in finite-size periodically driven translationally invariant systems
• Optimization and robustness of topological corner state in second-order topological photonic crystal
• Indifferent electromagnetic modes: bound states and topology
• Edge Modes of Scattering Chains with Aperiodic Order
• Photonic quantum walks with four-dimensional coins
• Photo-induced tunable Anomalous Hall and Nernst effects in tilted Weyl Semimetals using Floquet theory
• Floquet engineering of excitons in semiconductor quantum dots
• Dynamical Quantum Phase Transitions in Extended Toric-Code Models
• Hard-Wall Confinement of a Fractional Quantum Hall Liquid
• Rabi Spectroscopy and Sensitivity of a Floquet Engineered Optical Lattice Clock
• Floquet quadrupole photonic crystals protected by space-time symmetry
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Topological Phenomena in Classical Optical Networks
• Topological edge states in two-gap unitary systems: A transfer matrix approach
• Origin and localization of topological band gaps in gyroscopic metamaterials
• Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials
• Dirac cones, Floquet side bands and theory of time resolved ARPES
• Visual observation of optical Floquet-Bloch oscillations
• Engineering topological edge states in two dimensional magnetic photonic crystal
• Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
• Floquet superradiance lattices in thermal atoms
• Link between the photonic and electronic topological phases in artificial graphene
• Tracing non-Abelian anyons via impurity particles
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• From Floquet to Dicke: quantum spin-Hall insulator interacting with quantum light
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Non-Hermitian impurities in Dirac systems
• Genesis of the Floquet Hofstadter butterfly
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Photonic Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
• Bloch oscillations of topological edge modes
• Effects of local periodic driving on transport and generation of bound states
• Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices
• Multimode Coupling by Boundary Wave Scattering
• Spin-orbit coupling in a hexagonal ring of pendula
• Bloch oscillations in arrays of helical waveguides
• Characterization of edge states in perturbed honeycomb structures
• An introduction to arrays of coupled waveguides
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Topological gaps without masses in driven graphene-like systems
• Emergent topology under slow non-adiabatic quantum dynamics
• Topological photonic Su-Schrieffer-Heeger-type coupler
• Counter-propagating edge states in Floquet topological insulating phases
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Distortionless pulse transmission in valley photonic crystal slab waveguide
• Synthetic magnetism for photon fluids
• Floquet bound states around defects and adatoms in graphene
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• Frozen Gaussian quantum discord in photonic crystal cavity array system
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Valley Hall edge solitons in a photonic graphene
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction
• Universal driving protocol for symmetry-protected Floquet topological phases
• Chern Invariants of Topological Continua; a Self-Consistent Nonlocal Hydrodynamic Model
• Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Light-matter interactions near photonic Weyl points
• Design of laser-coupled honeycomb optical lattices supporting Chern insulators
• Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors
• Tunable Topologically-protected Super- and Subradiant Boundary States in One-Dimensional Atomic Arrays
• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
• Weyl points and topological surface states in a three-dimensional elastic lattice
• Photonic realization of topologically protected bound states in domain-wall waveguide arrays
• Near-unit efficiency of chiral state conversion via hybrid-Liouvillian dynamics
• Magnonic Floquet Quantum Spin Hall Insulator in Bilayer Collinear Antiferromagnets
• Floquet Edge Multicolor Solitons
• Observation of nonlinearity-controlled switching of topological edge states
• Quantum Control in Open and Periodically Driven Systems
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Probing (topological) Floquet states through DC transport
• Response to polarization and weak topology in Chern insulators
• Fermionic Chern insulator from twisted light with linear polarization
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Effective time-independent analysis for quantum kicked systems
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Observation of Floquet band topology change in driven ultracold Fermi gases
• Floquet Topological Polaritons in Semiconductor Microcavities
• Generalized energy and time-translation invariance in a driven, dissipative system
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Waveguide photonic limiters based on topologically protected resonant modes
• Ill-defined Topological Phases in Dispersive Photonic Crystals
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Floquet High Chern Insulators in Periodically Driven Chirally Stacked Multilayer Graphene
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Many-body dynamics and gap opening in interacting periodically driven systems
• Second-order topological modes in two-dimensional continuous media
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• Towards Topological Protection based millimetre wave devices
• Waveguide lattice based architecture for multichannel optical transformations
• Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity
• Vector valley Hall edge solitons in superhoneycomb lattices
• Ballistic transport through irradiated graphene
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Topological Polaritons in a Quantum Spin Hall Cavity
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Heterodyne Hall Effect in a Two Dimensional Electron Gas
• Topological transitions and Anderson localization of light in disordered atomic arrays
• Edge-following topological states
• Probing the topological Anderson transition with quantum walks
• Disorder-robust entanglement transport
• On the Role of Symmetries in the Theory of Photonic Crystals
• Synthetic gauge fields for light beams in optical resonators
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Effective vacua for Floquet topological phases: A numerical perspective on switch-function formalism
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Topological chiral modes in random scattering networks
• Floquet topological phases coupled to environments and the induced photocurrent
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Percolating States in the Topological Anderson Insulator
• Anomalous Josephson effect and rectification in junctions between Floquet topological superconductors
• Localized waves supported by the rotating waveguide array
• Lattice topology dictates photon statistics
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Simulating topological materials with photonic synthetic dimensions in cavities
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Realizing spin-dependent gauge field with biaxial metamaterials
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Coherent control of topological states in an integrated waveguide lattice
• Quantum logical controlled-NOT gate in a lithium niobate-on-insulator photonic quantum walk
• Chaos-Assisted Long-Range Tunneling for Quantum Simulation
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Period-doubled Floquet Solitons
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Photons and polaritons in a time-reversal-broken non-planar resonator
• Bulk-boundary correspondance for Sturmian Kohmoto like models
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Photonic band structure design using persistent homology
• Topological edge state engineering with high-frequency electromagnetic radiation
• Probing few-particle Laughlin states of photons via correlation measurements
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• Discrete Anderson Speckle
• Engineering Interaction Dynamics in Active Resonant Photonic Structures
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Edge states at the boundary between topologically equivalent lattices
• Floquet theory of spin dynamics under circularly polarized light pulses
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Tuning the topological insulator states of artificial graphene
• Photonic nodal lines with quadrupole Berry curvature distribution
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Momentum-space Harper-Hofstadter model
• Colloquium: Synthetic quantum matter in non-standard geometries
• One-way surface magnetoplasmon cavity and its application for nonreciprocal devices
• Berry curvature effects in the Bloch oscillations of a quantum particle under a strong (synthetic) magnetic field
• Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Observing photo-induced chiral edge states of graphene nanoribbons in pump-probe spectroscopies
• Topological Quantum Walk with Discrete Time-Glide Symmetry
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Measuring the Aharonov-Anandan phase in photonics
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Topological Edge Mode Tapering
• Topological light guiding and trapping via shifted photonic crystal interfaces
• Unification of valley and anomalous Hall effects in a strained lattice
• Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect
• Floquet edge solitons in modulated trimer waveguide arrays
• Quantum Hall criticality in Floquet topological insulators
• Entanglement spectrum and entropy in Floquet topological matter
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Broadband Resonance-Enhanced Frequency Generation by Four-Wave Mixing in a Silicon Floquet Topological Photonic Insulator
• Enhancement of photon blockade via topological edge states
• Exact results in Floquet coin toss for driven integrable models
• Driven-dissipative topological phases in parametric resonator arrays
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Floquet topological transition by unpolarized light
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Floquet theory of microwave absorption by an impurity in two dimensional electron gas
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Lasing in optically induced gap states in photonic graphene
• Topological protection can arise from thermal fluctuations and interactions
• Atomic Floquet physics revealed by free electrons
• Observation of Floquet-induced gap in graphene
• Dynamics of fluctuation correlation in periodically driven classical system
• Nonsymmetric evanescent coupling in photonics
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Topological Floquet interface states in optical fibre loops
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Haldane model on the Sierpiński gasket
• Quantum computing Floquet energy spectra
• High-order topological pumping on a superconducting quantum processor
• Bulk soliton dynamics in bosonic topological insulators
• Reconfigurable Network for Quantum Transport Simulation
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Substrate-induced topological minibands in graphene
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Guiding Trojan light beams via Lagrange points
• From Dynamical Localization to Bunching in interacting Floquet Systems
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Wave packet dynamics in slowly modulated photonic graphene
• Efficient computation of the $W_3$ topological invariant and application to Floquet-Bloch systems
• Topological Sensing with Photonic Arrays of Resonant Circular Waveguides
• Photonic currents in driven and dissipative resonator lattices
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Dynamical decoupling and dynamical isolation in temporally modulated coupled pendulums
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Wavefront dislocations reveal the topology of quasi-1D photonic insulators
• Asymmetric Cherenkov Emission in a Topological Plasmonic Waveguide
• Non-equilibrium topological phase transitions in two-dimensional optical lattices
• Observation of localized modes at effective gauge field interface in synthetic photonic lattice
• Floquet engineering of localized propagation of light in waveguide array
• Dynamical Detection of Topological Spectral Density
• Computing edge states without hard truncation
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
• Floquet engineering spin triplet states in unconventional magnets
• Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains
• Lattice Sums Accommodating Multiple Sublattices for Solutions of the Helmholtz Equation in Two and Three Dimensions
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Landau levels in curved space realized in strained graphene
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Granular Graphene: direct observation of zigzag and armchair edge waves
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Spontaneous breaking of time-reversal symmetry in topological insulators
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Zak Phase Induced Topological Nonreciprocity
• Giant nonlinearity in Zero-Gap Semiconductor Superlattices
• Self-adapted Floquet Dynamics of Ultracold Bosons in a Cavity
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Electron vortex beams in non-uniform magnetic fields
• Nonlocal and Nonlinear Surface Plasmon Polaritons and Optical Spatial Solitons induced by the Thermocapillary Effect
• Quantum noise detects Floquet topological phases
• Tunable topological edge modes in Su-Schrieffer-Heeger arrays
• Unidirectional light transport in dynamically modulated waveguides
• Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
• Unambiguous definition of handedness for locally-chiral light
• Solitons in $\mathcal{P}\mathcal{T}$-symmetric systems with spin-orbit coupling and critical nonlinearity
• Timestamp Boson Sampling
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Interacting Floquet topological phases in three dimensions
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Intrinsic dissipative Floquet superconductors beyond mean-field theory
• Intrinsic triple degeneracy point bounded by nodal surfaces in chiral photonic crystal
• Topological edge-state contributions to high-order harmonic generation in finite flakes
• Electronic Floquet Liquid Crystals
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Indium Antimonide, constraints on practicality as a magneto-optical platform for topological surface plasmon polaritons
• Rotating solitons supported by a spiral waveguide
• Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
• Direct measurement of topological invariants through temporal adiabatic evolution of bulk states in the synthetic Brillouin zone
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Topological Micromotion of Floquet Quantum Systems
• Floquet Majorana fermions in driven hexagonal lattice systems
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Topological Materials for Near-Field Radiative Heat Transfer
• Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
• Generalized Quantum Fluctuation Theorem for Energy Exchange
• Edge states and phase diagram for graphene under polarized light
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Observation of nonlinear topological corner states originating from different spectral charges
• Topological edge states of nonequilibrium polaritons in hollow honeycomb arrays
• Type-II Dirac photonic lattices
• Non-Abelian geometric phases in periodically driven systems
• Simulating Floquet topological phases in static systems
• Emulation of lossless exciton-polariton condensates by dual-core optical waveguides: Stability, collective modes, and dark solitons
• Acoustic circular dichroism in a three-dimensional chiral metamaterial
• Optically induced persistent current in carbon nanotubes
• Tachyonic Dispersion in Coherent Networks
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Optically induced Kondo effect in semiconductor quantum wells
• Topologically trivial and nontrivial edge bands in graphene induced by irradiation
• Entanglement properties of Floquet Chern insulators
• Topologically protected photonic transport in bi-anisotropic meta-waveguides
• Dynamical Fragile Topology in Floquet Crystals
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Tunable partial polarization beam splitter and optomechanically induced Faraday effect
• Exposing local symmetries in distorted driven lattices via time-averaged invariants
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Biorthogonal topological charge pumping in non-Hermitian systems
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Topological protection in nonlinear optical dynamics with parity-time symmetry
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Dynamically induced doublon repulsion in the Fermi-Hubbard model probed by a single-particle density of states
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
• Ring-shaped fractional quantum Hall liquids with hard-wall potentials
• Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
• Normal and superfluid fractions of inhomogeneous nonequilibrium quantum fluids
• Chiral orbital order of interacting bosons without higher bands
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Notes on photonic topological insulators and scattering-protected edge states - a brief introduction
• Real-time simulation of light-driven spin chains on quantum computers
• Realizing Topological Mott Insulators from the RKKY Interaction
• Unsupervised identification of Floquet topological phase boundaries
• A thermodynamic description of the near- and far-field intensity patterns emerging from multimode nonlinear waveguide arrays
• Robust effective ground state in a nonintegrable Floquet quantum circuit
• Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model
• Hard topological versus soft geometrical magnetic particle transport
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Nonreciprocal transition between two nondegenerate energy levels
• Delocalization of edge states in topological phases
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Disorder-induced topology in quench dynamics
• Floquet topological phase in a generalized PT-symmetric lattice
• Strong magneto-optical response enabled by quantum two level systems
• Wave-packet propagation in a finite topological insulator and the spectral localizer index
• Topological chiral interface states beyond insulators
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Anomalous Floquet Phases. A resonance phenomena
• One-dimensional time-Floquet photonic crystal
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Non-Hermitian semi-Dirac semi-metals
• Extraordinary wavelength reduction in terahertz graphene-cladded photonic crystal slabs
• Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Multipolar edge states in the breathing kagome model
• Floquet vortex states induced by light carrying the orbital angular momentum
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Discrete Approximation of Topologically Protected Modes in Magneto-Optical Media
• Growing quantum states with topological order
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Stability of dynamical topology against dynamical noise in quantum quenches
• Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
• Optically induced hybrid Bose-Fermi system in quantum wells with different charge carriers
• Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Macroscopic Floquet topological crystalline steel pump
• Topological aspects in the photonic crystal analog of single-particle transport in quantum Hall systems
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Vortex Pairs in the Discrete Nonlinear Schrödinger Equation
• Manipulating Z2 and Chern topological phases in a single material using periodically driving fields
• Wavepacket dynamics on Chern band lattices in a trap
• Topological crystalline protection in a photonic system
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Light scattering in disordered honeycomb photonic lattices near the Dirac points
• Beam steering and topological transformations driven by interactions between discrete vortex and fundamental solitons
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Unidirectional wave propagation in media with complex principal axes
• Complete absorption of topologically protected waves
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Bloch Oscillations of Hybrid Light-Matter Particles in a Waveguide Array
• Anomalous thermoelectric properties of a Floquet topological insulator with spin momentum non-orthogonality
• Topological Classical Systems with Generalized Chiral Symmetry
• From prethermalization to chaos in periodically driven coupled rotors
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Generic theory of characterizing topological phases under quantum slow dynamics
• Solving Three Dimensional Maxwell Eigenvalue Problem with Fourteen Bravais Lattices
• Floquet topological insulators with hybrid edges
• Floquet States
• Impact of coordinate frames on mode formation in twisted waveguides
• Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
• Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Spin texture of an irradiated warped topological insulator surface
• Anatomy of a periodically driven p-wave superconductor
• Floquet Topological Dissipative Kerr Solitons and Incommensurate Frequency Combs
• Honeycomb Schroedinger operators in the strong binding regime
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Connecting steady-states of driven-dissipative photonic lattices with spontaneous collective emission phenomena
• Tunability of Spin-Dependent Secondary Topological Interface States Induced in an Optical Complex Superlattice
• Floquet Engineering of Lie Algebraic Quantum Systems
• Optically induced resonant tunneling of electrons in nanostructures
• Topological Floquet bound states in the continuum
• Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides
• Dissipation engineered directional filter for quantum ratchets
• Topological Protection of Two-photon Quantum Correlation on a Photonic Chip
• Artificial magnetic field for synthetic quantum matter without dynamical modulation
• Experimental probe of band structures of bilayer valley photonic crystals
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Classical topological paramagnetism
• Multiple plateaus of high-sideband generation from Floquet matters
• Jackiw-Rebbi states and trivial states in interfaced binary waveguide arrays with cubic-quintic nonlinearity
• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
• A Monolithic Topologically Protected Phononic Circuit
• Modulation of the photonic band structure topology of a honeycomb lattice in an atomic vapor
• Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
• Chiral states in coupled-lasers lattice by on-site complex potential
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas
• Gap dependent mass of photon in photonic topological insulator
• Nonlinear signatures of Floquet band topology
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems
• Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics
• Loss-induced universal one-way transport in periodically driven systems
• $\pi$-solitons on a ring of waveguides
• Origin of robust exceptional points: a restricted bulk zero mode
• Quasi-edge states and topological Bloch oscillation in the synthetic space
• Disorder induced topological phase transition in a driven Majorana chain
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Manipulation of a Micro-object Using Topological Hydrodynamic Tweezers
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Equivalence principle and quantum mechanics: quantum simulation with entangled photons
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Floquet non-Abelian topological charges and edge states
• Observation of nonlinear higher-order topological insulators with unconventional boundary truncations
• Four-wave mixing Floquet topological soliton
• Eigenmodal Analysis of Anderson Localization: Applications to Photonic Lattices and Bose-Einstein Condensates
• Nonlinear control of photonic higher-order topological bound states in the continuum
• Tailoring higher-order topological phases via orbital hybridization
• Holographic Floquet states in low dimensions (I)
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Wave manipulation via delay-engineered periodic potentials
• Floquet valley Hall edge solitons
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Edge-state influence on high-order harmonic generation in topological nanoribbons
• Topological phases of amorphous matter
• Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Two-dimensional flat-band solitons in superhoneycomb lattices
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Continuum Schroedinger operators for sharply terminated graphene-like structures
• Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates
• Paraxial fluids of light
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Composite multi-vortex diffraction-free beams and van Hove singularities in honeycomb lattices
• Inducing anisotropies in Dirac fermions by periodic driving
• Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: gauge matters
• Linear Response Theory: A Modern Analytic-Algebraic Approach
• Non-perturbative dynamics of flat-band systems with correlated disorder
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Valley photonic crystal waveguides fabricated with CMOS-compatible process
• Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Mode Delocalization in Disordered Photonic Chern Insulator
• Signature of edge states in resonant wave scattering
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Spectroscopy and topological properties of a Haldane light system
• Adiabatic charge transport in extended SSH models
• Time-periodic driving of a bath-coupled open quantum gas of light
• $\mathcal{P}\mathcal{T}$-symmetric photonic lattices with type-II Dirac cones
• A new class of higher-order topological insulators that localize energy at arbitrary multiple sites
• Electrically Tunable and Reconfigurable Topological Edge State Lasers
• Thouless pumping in Josephson junction arrays
• Orbitally Selective Resonant Photodoping to Enhance Superconductivity
• Modulation-induced long-range magnon bound states in one-dimensional optical lattices
• Acoustic semimetal with Weyl points and surface states
• Spin Hamiltonians in the Modulated Momenta of Light
• Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices
• Photonic emulation of two-dimensional materials with antiferromagnetic order
• Quantum Topological Boundary States in Quasi-crystal
• Ring modes supported by concentrated cubic nonlinearity
• Time-dependent potential impurity in topological insulator
• Photonic quadrupole topological phases in zero-dimensional cavity with synthetic dimensions
• Floquet analysis of time-averaged trapping potentials
• Time delay in a disordered topological system
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Photoprotected spin Hall effect on graphene with substrate induced Rashba spin-orbit coupling
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Emergent eigenstate solution for generalized thermalization
• Circular edge states in photonic crystals with a Dirac node
• Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
• Anomalous transport in periodic photonic chains with designed loss
• Dynamic melting and condensation of topological dislocation modes
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Single-shot measurement of photonic topological invariant
• Observation of rotation-induced light localization in waveguide arrays
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Optical conductivity of a topological system driven using a realistic pulse
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Stability of topologically protected slow light against disorder
• Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Hermitian and non-Hermitian topology in active matter
• Flux-mediated effective Su-Schrieffer-Heeger model in an impurity decorated diamond chain
• Classifying topological floppy modes in the continuum
• Supersymmetrically bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states
• Autonomous Stabilization of Floquet States Using Static Dissipation
• 2D Topological Edge States in Periodic Space-Time Interfaces
• Topological invariants and topological charges in photonic systems
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• Wavefront dislocations in graphene systems revealed by transport measurement
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Periodic jumps in binary lattices with a static force
• All-optical control of excitons in semiconductor quantum wells
• Floquet defect solitons
• Non-Hermitian physics and engineering in silicon photonics
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Analogue time machine in a photonic system
• Dynamics of transmission in disordered topological insulators
• Topological phase transition of the centered rectangular photonic lattice
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• Garnet-free optical circulators monolithically integrated on spatially modified III-V quantum wells
• Beam splitter and combiner based on Bloch oscillations in spatially modulated waveguide arrays
• Symmetry-enforced three-dimensional Dirac phononic crystals
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry
• Physical rendering of synthetic spaces for topological sound transport
• The Symmetry Principle in Condensed Matter Physics (I)
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Nonequilibrium dynamics of suppression, revival, and loss of charge order in a laser pumped electron-phonon system
• Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials
• Topological phase transition in an all-optical exciton-polariton lattice
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Photocurrent and photoconductance of an helical edge state
• Topologically Protected Photonic Modes in Composite Quantum Hall/Quantum Spin Hall Waveguides
• Steering edge currents through a Floquet topological insulator
• Microscopic characterisation of laser-written phenomena for component-wise testing of photonic integrated circuits
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Quantum criticality in photorefractive optics: vortices in laser beams and antiferromagnets
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Properties of dissipative Floquet Majorana modes using a quantum dot
• Asymmetric topological pumping in nonparaxial photonics
• Rotating topological edge solitons
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Dynamic suppression of Rayleigh light scattering in dielectric resonators
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Few-particle dynamics of fractional quantum Hall lattice models
• Robust nonequilibrium edge currents with and without band topology
• Robust qubit interactions mediated by photonic topological edge states
• Localization effects from local phase shifts in the modulation of waveguide arrays
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Unconventional quantum Hall effect in Floquet topological insulators
• A capacitance spectroscopy-based platform for realizing gate-defined electronic lattices
• Observation of Square-Root Higher-Order Topological States in Photonic Waveguide Arrays
• Anisotropic odd viscosity via time-modulated drive
• Optically Pumped Floquet States of Magnetization in Ferromagnets
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Engineering Floquet moiré patterns for scalable photocurrents
• Laser-induced topological phases in monolayer amorphous carbon
• Non-Hermitian topological filters
• Projecting light beams with 3D waveguide arrays
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Topological transitions controlled by the interaction range
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Experimental simulation of charge conservation violation and Majorana dynamics
• Low-frequency and Moiré Floquet engineering: a review
• Photonic analogue of quantum spin Hall effect
• Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes
• Optical Control of Topological Polariton Phase in a Perovskite Lattice
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Quantitative measure of topological protection in Floquet systems through the spectral localizer
• Non-Hermitian Aharonov-Bohm Cage
• Photonic Higher-Order Topological States Induced by Long Range Interactions
• Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential
• Experimental demonstration of an anomalous Floquet topological insulator based on negative-index media
• Universality in Non-Equilibrium Quantum Systems
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Unfitted Nitsche's method for computing wave modes in topological materials
• Theory of quantum spin-Hall topological lasers
• Controlling scattering of light through topological transitions in all-dielectric metasurfaces
• A toolbox for elementary fermions with a dipolar Fermi gas in a 3D optical lattice
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Generating electromagnetic modes with fine tunable orbital angular momentum by planar topological circuits
• The geometric phase and the dry friction of sleeping tops on inclined planes
• Floquet composite Dirac semimetals
• Adiabatic modulation of driving protocols in periodically driven quantum systems
• Realizing topological relativistic dynamics with slow light polaritons at room temperature
• Angular momentum-dependent topological transport and its experimental realization using a transmission line network
• Robust biexciton preparation for entangled photon-pair generation by single-shot Floquet driving
• Gate and Carriers tunable Valley Imbalance in Topological Proximitized Rhombohedral Trilayer Graphene
• Weak-coupling bound states in semi-infinite topological waveguide QED
• Beyond Decoherence: Control the Collective Quantum Dynamics of Quasi Particles in Topological Interface
• Density matrix analysis of systems influenced by periodic Hamiltonians
• Detecting the Berry curvature in photonic graphene
• Enantiosensitive exceptional points in open chiral systems
• Disorder-enabled directional delocalization and wave steering in time-modulated Dirac materials
• Phase and Photon Number Dependent NOON State Localization in Flat Band Lattices
• Time-reversal invariant resonant backscattering on a topological insulator surface driven by a time-periodic gate voltage
• Time-resolved spectroscopy of noise-driven collective states of light
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Self-Accelerating Topological Edge States
• Breakdown of the symmetry constraint in a Floquet topological insulator
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Topical review on acousto-optical Floquet engineering of single-photon emitters
• Phase transition from Weyl to self-linked semimetal using bi-circular laser
• Characterizing the transition from topology to chaos in a kicked quantum system
• Topological energy pumping in a quasi-periodically driven four-level system
• Noise resilience of two-dimensional Floquet topological phases
• Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
• Compact localized currents in flat bands with broken time-reversal symmetry
• A theorem regarding families of topologically non-trivial fermionic systems
• Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
• Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Layer-number parity induced topological phase transition
• Protection of quantum steering ellipsoids in non-Markovian environments
• Stable vortex soliton arrays in disclination-fractal systems
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Chiral solitary waves in a nonlinear topological insulator model
• Zak Phase Dislocations in Trimer Lattices
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Synchronized in-gap edge states and robust copropagation in topological insulators without magnetic flux
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction
• Eigenvalue Problems of Discrete Curl Operators on Various Lattices for Simulating Three Dimensional Photonic Crystals
• Lithium Niobate Photonic Topological Insulator-based Multi-Wavelength Optical Demultiplexer with Piezoelectric Switch-Off
• On cat-human interaction from the viewpoint of physics: an equation of motion
• Optical control of electrons in a Floquet topological insulator
• Simulating topological phases and topological phase transitions with classical strings
• Oscillating edge states in polariton topological insulators
• Floquet engineering with spatially non-uniform driving fields
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
• Structure-Based Super-Resolution Recovery of Three-Photon Quantum States from Two-Fold Coincidences
• Optically induced delocalization of electrons bound by attractive potentials
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Interplay of Kekulé distortions and laser fields in graphene
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process
• Photonic quantum Hall effects
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Adiabatic and irreversible classical discrete time crystals
• $q$th-root non-Hermitian Floquet topological insulators
• Revealing non-Hermitian band structures of photonic Floquet media
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene
• Laser induced enhanced coupling between photons and squeezed magnons in antiferromagnets
• Observation of symmetry-protected selection rules in periodically driven quantum systems
• Diabolical points in multi-scatterer optomechanical systems
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Dynamical Symmetry Indicators for Floquet Crystals
• Immutable quantized transport in Floquet chains
• Topological Photonics on a Small Scale
• Topologically protected long-range coherent energy transfer
• Signatures of the $\pi$-mode anomaly in (1+1) dimensional periodically-driven topological/normal insulator heterostructures
• Observation of the topological edge state in X-ray band
• Anomalous nonreciprocal topological networks: stronger than Chern insulators
• Experimental realization of three-dimensional elastic phononic topological insulator
• Topological Lattice Metamaterials -- A Platform For Novel Electromagnetic Material Design Based On An Artificial Topological "Atom"
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
• Dynamics of a qubit-oscillator system with periodically varying coupling
• Observation of an Effective Magnetic field for Light
• Topological transitions induced by cavity-mediated interactions in photonic valley-Hall metasurfaces
• Pseudospin-valley-coupled phononic topological insulator with edge and corner states
• Direct visualization of topological transitions and higher-order topological states in photonic metasurfaces
• Higher-order Quantum Spin Hall Effect of Light
• Extremely broadband topological surface states in a photonic topological metamaterials
• Transverse photon spin beyond interfaces
• Seeing Topological Order and Band Inversion in Optical Diatomic Chain
• Topological Edge Solitons in Polaritonic Lattice
• Editorial (a preface to a Special Issue of journal Applied Sciences on "Guided-Wave Optics")