Topological characterization of periodically-driven quantum systems

Abstract

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In this paper, we show that the Floquet operators of periodically driven systems can be divided into topologically distinct (homotopy) classes, and give a simple physical interpretation of this classification in terms of the spectra of Floquet operators. Using this picture, we provide an intuitive understanding of the well-known phenomenon of quantized adiabatic pumping. Systems whose Floquet operators belong to the trivial class simulate the dynamics generated by time-independent Hamiltonians, which can be topologically classified according to the schemes developed for static systems. We demonstrate these principles through an example of a periodically driven two--dimensional hexagonal lattice model which exhibits several topological phases. Remarkably, one of these phases supports chiral edge modes even though the bulk is topologically trivial.

9 Pages + Appendix

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• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Generation of uniform synthetic magnetic fields by split driving of an optical lattice
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Engineering Floquet topological phases using elliptically polarized light
• Photonic Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
• Anisotropic light-tailored RKKY interaction in two-dimensional $d$-wave altermagnets
• Effects of local periodic driving on transport and generation of bound states
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Remnants of Anderson localization in pre-thermalization induced by white noise
• Entanglement properties of the time periodic Kitaev Chain
• Quantum decay in a topological continuum
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Floquet bound states around defects and adatoms in graphene
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• The transport properties of Floquet topological superconductors at the transition from the topological phase to the Anderson localized phase
• Topological quantum walks: theory and experiments
• Counter-propagating edge states in Floquet topological insulating phases
• Prethermal quasiconserved observables in Floquet quantum systems
• Probing (topological) Floquet states through DC transport
• Interacting Symmetry-Protected Topological Phases Out of Equilibrium
• Edge mode manipulation through commensurate multifrequency driving
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Non-hermitian topology in multiterminal superconducting junctions
• Quantum Hall effect in ac driven graphene: from half-integer to integer case
• Engineered Open Systems and Quantum Simulations with Atoms and Ions
• Topological frequency conversion in Weyl semimetals
• Universal driving protocol for symmetry-protected Floquet topological phases
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Energy dissipation in DC-field driven electron lattice coupled to fermion baths
• Quantum Control in Open and Periodically Driven Systems
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Generalized energy and time-translation invariance in a driven, dissipative system
• Probing non-equilibrium topological order on a quantum processor
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Floquet Topological Polaritons in Semiconductor Microcavities
• Controlling topological superconductivity by magnetization dynamics
• Observation of Floquet band topology change in driven ultracold Fermi gases
• String order parameters for 1d Floquet Symmetry Protected Topological Phases
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Many-body dynamics and gap opening in interacting periodically driven systems
• Floquet and Anomalous Floquet Weyl Semimetals
• Ballistic transport through irradiated graphene
• Dynamical Transition for a class of integrable models coupled to a bath
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• The Real-Time Correlation Function of Floquet Conformal Fields
• Topological Polaritons in a Quantum Spin Hall Cavity
• Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Probing topological phases in a perturbed Kane-Mele model via RKKY interaction: Application to monolayer jacutingaite Pt${}_2$HgSe${}_3$
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
• Interferometry of non-Abelian band singularities and Euler class topology
• Tracking the quantized information transfer at the edge of a chiral Floquet phase
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Topological chiral modes in random scattering networks
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Prethermalization and entanglement dynamics in interacting topological pumps
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Floquet topological phases coupled to environments and the induced photocurrent
• Effective vacua for Floquet topological phases: A numerical perspective on switch-function formalism
• Statistical periodicity in driven quantum systems: General formalism and application to noisy Floquet topological chains
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Quantum frequency locking and down-conversion in a driven cavity-qubit system
• Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
• Effective response theory for Floquet topological systems
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Dynamical generation of Floquet Majorana flat bands in s-wave superconductors
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• Stability of Floquet Majorana box qubits
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Optimal Hamiltonian simulation for time-periodic systems
• Period-doubled Floquet Solitons
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Topological edge state engineering with high-frequency electromagnetic radiation
• Anomalous Floquet topological crystalline insulators
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• An infinite family of 3d Floquet topological paramagnets
• Interacting topological frequency converter
• Topological pumping of quantum correlations
• Broadband Resonance-Enhanced Frequency Generation by Four-Wave Mixing in a Silicon Floquet Topological Photonic Insulator
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• Observing photo-induced chiral edge states of graphene nanoribbons in pump-probe spectroscopies
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers
• Dynamically induced many-body localization
• Floquet edge solitons in modulated trimer waveguide arrays
• Boltzmann-Gibbs states in topological quantum walks and associated many-body systems: Fidelity and Uhlmann parallel transport analysis of Phase Transitions
• Quantum Hall network models as Floquet topological insulators
• Topological Quantum Walk with Discrete Time-Glide Symmetry
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Network model for periodically strained graphene
• Relation between two-phase quantum walks and the topological invariant
• Quantum Hall criticality in Floquet topological insulators
• Exact results in Floquet coin toss for driven integrable models
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Floquet topological transitions in extended Kane-Mele models with disorder
• Photoinduced helical metal and magnetization in two-dimensional electron systems with spin-orbit coupling
• Non-equilibrium topological phase transitions in two-dimensional optical lattices
• Dynamical Detection of Topological Spectral Density
• Dynamical enhancement of symmetries in many-body systems
• Boundary conductance in macroscopic bismuth crystals
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Wave packet dynamics and edge transport in anomalous Floquet topological phases
• Breakdown of Markovianity by interactions in stroboscopic Floquet-Lindblad dynamics under high-frequency drive
• Floquet topological transition by unpolarized light
• Quasiperiodicity hinders ergodic Floquet eigenstates
• An Operational Definition of Topological Order
• Topological Floquet interface states in optical fibre loops
• Topological Floquet states on a Möbius band irradiated by circularly polarised light
• Spin resonance under topological driving fields
• Efficient computation of the $W_3$ topological invariant and application to Floquet-Bloch systems
• Prethermal stability of eigenstates under high frequency Floquet driving
• Floquet theory of microwave absorption by an impurity in two dimensional electron gas
• Local Fluctuations in Cavity Control of Ferroelectricity
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Floquet theory of photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated with elliptically polarized light
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports
• Floquet engineering spin triplet states in unconventional magnets
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• First-Principles Demonstration of Non-adiabatic Thouless Pumping of Electrons in A Molecular System
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Topological Phase Transitions from Harper to Fibonacci Crystals
• Interacting Floquet topological phases in three dimensions
• Predicted Photo-Induced Topological Phases in Organic Salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Reducibility for a fast driven linear Klein-Gordon equation
• Effective Floquet model for minimally twisted bilayer graphene
• Quantum Phase Transition of Bosons in a Shaken Optical Lattice
• Generating an effective magnetic lattice for cold atoms
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
• Unidirectional light transport in dynamically modulated waveguides
• Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Floquet Exceptional Topological Insulator
• Two- and three-body problem with Floquet-driven zero-range interactions
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Electronic Floquet Liquid Crystals
• Unitary Subharmonic Response and Floquet Majorana Modes
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Gauging anomalous unitary operators
• Self-adapted Floquet Dynamics of Ultracold Bosons in a Cavity
• Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
• Critical quasienergy states in driven many-body systems
• Photo-electrons unveil topological transitions in graphene-like systems
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Anomalous Random Multipolar Driven Insulators
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Non-Abelian geometric phases in periodically driven systems
• Dynamical Fragile Topology in Floquet Crystals
• Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
• Topological Micromotion of Floquet Quantum Systems
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Driven Hofstadter Butterflies and Related Topological Invariants
• Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Floquet Majorana fermions in driven hexagonal lattice systems
• Simulating Floquet topological phases in static systems
• Quench dynamics of Hopf insulators
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Universal long-time behavior of stochastically driven interacting quantum systems
• Anomalous levitation and annihilation in Floquet topological insulators
• Disorder-induced topology in quench dynamics
• An ideal rapid-cycle Thouless pump
• Floquet topological phase in a generalized PT-symmetric lattice
• Photon pumping in a weakly-driven quantum cavity-spin system
• Unsupervised identification of Floquet topological phase boundaries
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Floquet Systems with Hall Effect: Topological Properties and Phase Transitions
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Suppression of inter-band heating for random driving
• Observation of dynamical topology in 1D
• Tunable interface states between Floquet-Weyl semimetals
• Quantum nonlinear phononics route towards nonequilibrium materials engineering: Melting dynamics of a ferrielectric charge density wave
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Floquet engineering of many-body states by the ponderomotive potential
• Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
• Biorthogonal topological charge pumping in non-Hermitian systems
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Many-body nonequilibrium dynamics in a self-induced Floquet system
• Transport signatures of a Floquet topological transition at the helical edge
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Localization length versus level repulsion in 1-D driven disordered quantum wires
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• One-dimensional time-Floquet photonic crystal
• Off-resonant light-induced topological phase transition and thermoelectric transport in semi-Dirac materials
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Anomalous Floquet Phases. A resonance phenomena
• Topological phonons in arrays of ultracold dipolar particles
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Conductance beyond the Landauer limit and charge pumping in quantum wires
• Non-adiabatic dynamics of superfluid spin-orbit coupled degenerate Fermi gas
• Floquet States
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Manipulating Z2 and Chern topological phases in a single material using periodically driving fields
• Rigorous analysis of the topologically protected edge states in the quantum spin Hall phase of the armchair ribbon geometry
• Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Real-time dynamics of the photoinduced topological state in organic conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ under continuous-wave and pulse excitations
• Topological charges of periodically kicked molecules
• Photo control of transport properties in disorderd wire; average conductance, conductance statistics, and time-reversal symmetry
• Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Quantum gates by periodic driving
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Topological $\pi$ modes and beyond
• Floquet states of Valley-Polarized Metal with One-way Spin or Charge Transport in Zigzag Nanoribbons
• Local and energy-resolved topological invariants for Floquet systems
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Anatomy of a periodically driven p-wave superconductor
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Floquet topological insulators with hybrid edges
• Hybrid Dispersion Dirac semimetal and Hybrid Weyl phases in Luttinger Semimetals: A dynamical approach
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Relative homotopy approach to topological phases in quantum walks
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• Nonlinear signatures of Floquet band topology
• Resilience of hidden order to symmetry-preserving disorder
• Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Quantum state engineering by periodical two-step modulation in atomic system
• Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands
• Dynamical phase transitions in the photodriven charge-ordered Dirac-electron system
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Floquet non-Abelian topological charges and edge states
• Driven Topological Systems in the Classical Limit
• Energy Transfer in Random-Matrix ensembles of Floquet Hamiltonians
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Bloch dynamics in inversion symmetry broken monolayer phosphorene
• Loss-induced universal one-way transport in periodically driven systems
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Transport through vertical graphene contacts under intense laser fields
• Topological Properties of Adiabatically Varied Floquet Systems
• Topologically ordered time crystals
• Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Controllable Floquet edge modes in a multi-frequency driving system
• Topology of Discrete Quantum Feedback Control
• Directed motion of doublons and holes in periodically driven Mott insulators
• Floquet expansion by counting pump photons
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Dynamical decoupling for realization of topological frequency conversion
• Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation
• Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics
• Second Euler number in four dimensional synthetic matter
• Predicted novel type of photoinduced topological phase transition accompanied by collision and collapse of Dirac-cone pair in organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Topological excitations at time vortices in periodically driven systems
• Topological reflection matrix
• Localization of space-inhomogeneous three-state quantum walks
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Thouless pumping in Josephson junction arrays
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Role of topology on the work distribution function of a quenched Haldane model of graphene
• Transport properties of vertical heterostructures under light irradiation
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
• Transport blocking and topological phases using ac magnetic fields
• Floquet theory and applications in open quantum and classical systems
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• N-Band Photonic Hopf Insulators Based on 2D Microring Lattices
• Signature of edge states in resonant wave scattering
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Anomalous transport in a topological Wannier-Stark ladder
• Modulation-induced long-range magnon bound states in one-dimensional optical lattices
• Correspondence between a shaken honeycomb lattice and the Haldane model
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• Engineering Hierarchical Symmetries
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Temporal Parity-Time Symmetry for Extreme Energy Transformations
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Complex-band-structure eigenvalue method adapted to Floquet systems: topological superconducting wires as a case study
• Topological frequency conversion in rhombohedral multilayer graphene
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Cosine Edge Mode in a Periodically Driven Quantum System
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Optical conductivity of a topological system driven using a realistic pulse
• Quantum transport phenomena induced by time-dependent fields
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• 2D Topological Edge States in Periodic Space-Time Interfaces
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Emergent eigenstate solution for generalized thermalization
• Understanding Floquet Resonances in Ultracold Gas Scattering
• Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Periodic jumps in binary lattices with a static force
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials
• Eigenvalue and eigenspace anholonomies in hierarchical systems
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
• Switchable selective interactions in a Dicke Model with Driven Biased term
• Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Photoprotected spin Hall effect on graphene with substrate induced Rashba spin-orbit coupling
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States
• Poincaré crystal on the one-dimensional lattice
• Topological Phase Transitions with Zero Indirect Band Gap
• Optical conductivity and orbital magnetization of Floquet vortex states
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Photocurrent and photoconductance of an helical edge state
• Supersymmetric quantum walks with chiral symmetry
• Anisotropic odd viscosity via time-modulated drive
• Engineering Floquet moiré patterns for scalable photocurrents
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Generating nonequilibrium stationary state from ground state condensate through an almost-adiabatic cycle
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Do Bloch waves interfere with one another ?
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Steering edge currents through a Floquet topological insulator
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Anomalous multi-gap topological phases in periodically driven quantum rotors
• Control over few photon pulses by a time-periodic modulation of the photon-emitter coupling
• Floquet Möbius topological insulators
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• Computing Floquet quasienergies in finite and extended systems: Role of electromagnetic and quantum-geometric gauges
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• openMMF: a library for multimode driven quantum systems
• The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition
• Anomalous wave-packet transport on boundaries of Floquet topological systems
• Laser-induced topological phases in monolayer amorphous carbon
• Frequency dependence of the light-induced Hall effect in dissipative graphene
• Non-Hermitian topological filters
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• $2+1$ dimensional Floquet systems and lattice fermions: Exact bulk spectral equivalence
• Quantum-vacuum-protected topological edge polaritons
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Photoinduced polarization enhancement in biased bilayer graphene in the Landau level regime
• Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• Low-frequency and Moiré Floquet engineering: a review
• Spin-orbit effects on the spin and pseudospin polarization in ac-driven silicene
• Giga fine-structure constant in photonic solitons
• Chirality induced Interface Currents in the Chalker Coddington Model
• Interference-induced suppression of particle emission from a Bose-Einstein condensate in lattice with time-periodic modulations
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Universality in Non-Equilibrium Quantum Systems
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model
• Discrete time crystals detected by time-translation twist
• Feedback cooling of fermionic atoms in optical lattices
• Phase transitions from Heating to non-heating in SU(1, 1) quantum dynamics: applications to Bose-Einstein condensates and periodically driven coupled oscillators
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Orbital magnetization of Floquet topological systems
• Optical control of electrons in a Floquet topological insulator
• Interplay of Kekulé distortions and laser fields in graphene
• Quantum dynamics of a spin model with an extensive degeneracy
• A theorem regarding families of topologically non-trivial fermionic systems
• Universal anyons at the irradiated surface of topological insulator
• Peratic Phase Transition by Bulk-to-Surface Response
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems
• Ultracold atomic lattice systems for simulating topological phases: A review
• Floquet second-order topological insulator in strained graphene
• Dynamical Symmetry Indicators for Floquet Crystals
• Dynamical Signatures of Floquet Topology in Wave Packet Dynamics
• Detuning the Floquet anomalous chiral spin liquid
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Noise resilience of two-dimensional Floquet topological phases
• Anomalous skew scattering of plasmons in a Dirac electron fluid
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice
• Localization and topological signatures under periodic twisting
• Topological energy pumping in a quasi-periodically driven four-level system
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
• Tunable multi-magnon Floquet topological edge states
• Detecting degenerate bands topological invariants in optical lattice
• Continuous-time limit of topological quantum walks
• Immutable quantized transport in Floquet chains
• Asymptotic reduced density matrix of discrete-time quantum walks
• Photo-induced directional transport in extended SSH chains
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• Extended degenerate perturbation theory for the Floquet-Hilbert space
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Anomalous nonreciprocal topological networks: stronger than Chern insulators