Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering

Abstract

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian. These classes cover systems, such as the Kapitza pendulum, the Harper-Hofstadter model of neutral atoms in a magnetic field, the Haldane Floquet Chern insulator and others. In all setups considered, we discuss both the infinite-frequency limit and the leading finite-frequency corrections to the Floquet Hamiltonian. We provide a short overview of Floquet theory focusing on the gauge structure associated with the choice of stroboscopic frame and the differences between stroboscopic and non-stroboscopic dynamics. In the latter case one has to work with dressed operators representing observables and a dressed density matrix. We also comment on the application of Floquet Theory to systems described by static Hamiltonians with well-separated energy scales and, in particular, discuss parallels between the inverse-frequency expansion and the Schrieffer-Wolff transformation extending the latter to driven systems.

84 pages, 25 figures, 4 appendices

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• Photovoltaic Hall effect in graphene
• The Magnus expansion and some of its applications
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Dynamical control of matter-wave tunneling in periodic potentials
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Equilibrium states of generic quantum systems subject to periodic driving
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Irradiated graphene as a tunable Floquet topological insulator
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Coherent control of dressed matter waves
• Fractional Quantum Hall Effect in Optical Lattices
• Tuning laser-induced bandgaps in graphene
• Observation of photon-assisted tunneling in optical lattices
• Periodic thermodynamics of isolated systems
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Radiation effects on the electronic structure of bilayer graphene
• On the phase transition of light in cavity QED lattices
• Periodically driven Quantum Ratchets: Symmetries and Resonances
• Fully three dimensional breather solitons can be created using Feshbach resonance
• Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap
• Time independent description of rapidly oscillating potentials
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Nonequilibrium Quantum Phase Transitions in the Ising Model
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Avoided level crossing spectroscopy with dressed matter waves
• Statistical mechanics of Floquet systems with regular and chaotic states
• Kilohertz-driven Bose-Einstein condensates in optical lattices
• Dynamic Optical Superlattices with Topological Bands
• Energy flow in periodic thermodynamics
• ac-driven atomic quantum motor
• Suppression of inelastic electron-electron scattering in Anderson Insulators
• Nonlinear Current of Strongly Irradiated Quantum Hall Gas
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Expansion of matter waves in static and driven periodic potentials
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Comment on "Creating artificial magnetic fields for cold atoms by photon-assisted tunneling" by Kolovsky A.R
• Parametric instability in periodically driven Luttinger liquids
• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• Steering Bose-Einstein condensates despite time symmetry
• Generation of uniform synthetic magnetic fields by split driving of an optical lattice
• Effective spin model for interband transport in a Wannier-Stark lattice system
• Stückelberg-Interferometry with ultra-cold atoms
• Manifold approach for a many-body Wannier-Stark system: localization and chaos in energy space

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• Gauge-induced Floquet topological states in photonic waveguides
• Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
• Tunable Fragile Topology in Floquet Systems
• Floquet-Landau-Zener interferometry: Usefulness of the Floquet theory in pulse-laser-driven systems
• Characterization and Verification of Trotterized Digital Quantum Simulation via Hamiltonian and Liouvillian Learning
• Photonic Floquet time crystals
• Liquid-crystal-based topological photonics
• Topological Floquet engineering using two frequencies in two dimensions
• Driven quantum many-body systems and out-of-equilibrium topology
• Realization of a stroboscopic optical lattice for cold atoms with subwavelength spacing
• Accelerating adiabatic protocols for entangling two qubits in circuit QED
• Bilinear dynamic mode decomposition for quantum control
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Steady states of a quasiperiodically driven integrable system
• Light-induced half-quantized Hall effect and axion insulator
• Light-induced d-wave superconductivity through Floquet-engineered Fermi surfaces in cuprates
• Manipulating synthetic gauge fluxes via multicolor dressing of Rydberg-atom arrays
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• Light-induced topological phase transition with tunable layer Hall effect in axion antiferromagnets
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Towards a Floquet-Network Theory of Non-Reciprocal Transport
• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• Topological flat bands in strained graphene: substrate engineering and optical control
• Interband heating processes in a periodically driven optical lattice
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• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
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• Shortcuts to Dynamic Polarization
• Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Control of Excitation Energy Transfer in Condensed Phase Molecular Systems by Floquet Engineering
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• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• From Linear to Nonlinear Responses of Thermal Pure Quantum States
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• Coherent ground-state transport of neutral atoms
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Locality and Heating in Periodically Driven, Power-law Interacting Systems
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Fibonacci steady states in a driven integrable quantum system
• Nonequilibrium phase transition in transport through a driven quantum point contact
• Prethermal fragmentation in a periodically driven Fermionic chain
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• Light-induced anisotropic skyrmion and stripe phases in a Rashba ferromagnet
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• Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems
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• Realization of strongly-interacting Meissner phases in large bosonic flux ladders
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• Two-level systems with periodic $N$-step driving fields: Exact dynamics and quantum state manipulations
• Laser control of magnonic topological phases in antiferromagnets
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Optical Manipulation of Domains in Chiral Topological Superconductors
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
• Stability of Periodically Driven Topological Phases against Disorder
• Drive-induced nonlinearities of cavity modes coupled to a transmon ancilla
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Photocontrol of magnetic structure in an itinerant magnet
• Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors
• Prethermal quasiconserved observables in Floquet quantum systems
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
• Magnonic Floquet Quantum Spin Hall Insulator in Bilayer Collinear Antiferromagnets
• Population trapping in a pair of periodically driven Rydberg atoms
• Efficient Paths for Local Counterdiabatic Driving
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Phase driving hole spin qubits
• Disorder-free localization with Stark gauge protection
• Electron pairing in nanostructures driven by an oscillating field
• Floquet Topological Polaritons in Semiconductor Microcavities
• Optically induced topological states on the surface of mercury telluride
• Observation of Floquet band topology change in driven ultracold Fermi gases
• Thermalisation in a Bose-Hubbard dimer with modulated tunneling
• Floquet engineering of electric polarization with two-frequency drive
• Heating Rates under Fast Periodic Driving beyond Linear Response
• Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• 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
• Counterdiabatic Driving for Periodically Driven Systems
• Crosstalk analysis for simultaneously driven two-qubit gates in spin qubit arrays
• Floquet states and optical conductivity of an irradiated two dimensional topological insulator
• Dynamical Transition for a class of integrable models coupled to a bath
• Floquet High Chern Insulators in Periodically Driven Chirally Stacked Multilayer Graphene
• Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Floquet engineering of the Luttinger Hamiltonian
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Polynomial filter diagonalization of large Floquet unitary operators
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Control of Quantum Dynamics of Electron Transfer in Molecular Loop Structures: Spontaneous Breaking of Chiral Symmetry under Strong Decoherence
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Floquet generation of magnonic NOON state
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model
• Prethermalization and entanglement dynamics in interacting topological pumps
• Harmonic fine tuning and triaxial spatial anisotropy of dressed atomic spins
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms
• Ultra-fast control of magnetic relaxation in a periodically driven Hubbard model
• Floquet topological phases coupled to environments and the induced photocurrent
• Pseudo energy wells in active systems
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Nonequilibrium susceptibility in photoinduced Floquet states
• Quantum interference device for controlled two-qubit operations
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Thermal and dissipative effects on the heating transition in a driven critical system
• Observation of chiral edge transport in a rapidly-rotating quantum gas
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Riemann zeros from a periodically-driven trapped ion
• Topological edge state engineering with high-frequency electromagnetic radiation
• Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands
• Optimization of quantized charge pumping using full counting statistics
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Non-adiabatic effects in periodically driven-dissipative open quantum systems
• Floquet theory of spin dynamics under circularly polarized light pulses
• Colloquium: Synthetic quantum matter in non-standard geometries
• Accessing electromagnetic properties of matter with cylindrical vector beams
• Optical control of competing exchange interactions and coherent spin-charge coupling in two-orbital Mott insulators
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• Strong light-field effects driven by nearly single-cycle 7-fs light field in correlated organic conductors
• Driven-dissipative ising model: mean field solution
• Dynamical Generation of Higher-order Spin-Orbit Couplings, Topology and Persistent Spin Texture in Light-Irradiated Altermagnets
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Floquet engineering from long-range to short-range interactions
• Generation of atypical hopping and interactions by kinetic driving
• Exact results in Floquet coin toss for driven integrable models
• Laser-induced topological $s$-wave superconductivity in bilayer transition metal dichalcogenides
• Method for finding the exact effective Hamiltonian of time driven quantum systems
• Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
• Generalized Schrieffer-Wolff transformation of multi-flavor Hubbard models
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Quantum control by effective counterdiabatic driving
• Bulk soliton dynamics in bosonic topological insulators
• Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder
• Dynamics of fluctuation correlation in periodically driven classical system
• 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
• Tight-binding model subject to conditional resets at random times
• Flow Equations for Disordered Floquet Systems
• Floquet theory of photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated with elliptically polarized light
• Quantum computing Floquet energy spectra
• Computation of the asymptotic states of modulated open quantum systems with a numerically exact realization of the quantum trajectory method
• Emergent strong zero mode through local Floquet engineering
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Synthetic Mechanical Lattices with Synthetic Interactions
• Prethermal stability of eigenstates under high frequency Floquet driving
• Quantum phases in spin-orbit-coupled Floquet spinor Bose gases
• Kapitsa pendulum effects in Josephson junction + nanomagnet under external periodic drive
• Geometric Floquet theory
• Optical Indistinguishability via Twinning Fields
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Topological d-wave superconductivity in two dimensions
• Floquet Spinor Bose Gases
• Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
• Enhancing energy transfer in quantum systems via periodic driving: Floquet master equations
• Calculating Floquet states of large quantum systems: A parallelization strategy and its cluster implementation
• Floquet Supersymmetry
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Distributed quantum sensing with optical lattices
• Transport signatures in topological systems coupled to AC fields
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Very slow heating for weakly driven quantum many-body systems
• Dynamical transitions in aperiodically kicked tight-binding models
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Anomalous spin-charge separation in a driven Hubbard system
• Exactly solvable many-body dynamics from space-time duality
• Transient amplification in stable Floquet media
• Gravitational wave driving of a gapped holographic system
• Transition from antiferromagnets to altermagnets: Symmetry-Breaking Theory
• Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
• Floquet-Gibbs state in open quantum systems
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Floquet engineering spin triplet states in unconventional magnets
• Influence of local symmetry on lattice dynamics coupled to topological surface states
• String order via Floquet interactions in atomic systems
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Quantum algorithms for matrix operations and linear systems of equations
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Asymptotic Floquet states of non-Markovian systems
• Floquet Exceptional Topological Insulator
• Engineering Arbitrary Hamiltonians in Phase Space
• Floquet control of dipolaritons in quantum wells
• Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings
• Controlling disorder with periodically modulated interactions
• Electronic Floquet Liquid Crystals
• Mixing and localisation in random time-periodic quantum circuits of Clifford unitaries
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Shortcut-to-Adiabatic Controlled-Phase Gate in Rydberg Atoms
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Predicted Photo-Induced Topological Phases in Organic Salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• A Kapitza Pendulum for Ultracold Atoms
• Reducibility for a fast driven linear Klein-Gordon equation
• Ergodic-localized junctions in periodically-driven systems
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
• Adaptive Rotating-Wave Approximation for Driven Open Quantum Systems
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Floquet-Band Engineering of Shaken Bosonic Condensates
• Topological Micromotion of Floquet Quantum Systems
• Electron transfer under the Floquet modulation in donor-bridge-acceptor systems
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Magnus expansion for a chirped quantum two-level system
• Non-Abelian geometric phases in periodically driven systems
• Inverted many-body mobility edge in a central qudit problem
• Instability of Holographic Superfuids in Optical Lattice
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Quantum information spreading in random spin chains
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
• Absence of localization in two-dimensional Clifford circuits
• Chiral current in Floquet cavity-magnonics
• Quantum supremacy and quantum phase transitions
• Optically induced Kondo effect in semiconductor quantum wells
• High-Frequency Analysis of Effective Interactions and Bandwidth for Transient States after Monocycle Pulse Excitation of Extended Hubbard Model
• Optomagnonic Barnett effect
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Coarse-graining master equation for periodically driven systems
• Anomalous levitation and annihilation in Floquet topological insulators
• Floquet engineering of many-body states by the ponderomotive potential
• Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model
• Leveraging static quantum many-body scars into period-doubled responses
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Control of superexchange interactions with DC electric fields
• Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Divergence of the Floquet-Magnus expansion in a periodically driven one-body system with energy localization
• Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Fano resonances in optical spectra of semiconductor quantum wells driven by an oscillating field
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Suppression of inter-band heating for random driving
• Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
• Pseudo Electric Field and Pumping Valley Current in Graphene Nano-bubbles
• Robust effective ground state in a nonintegrable Floquet quantum circuit
• Floquet topological phase in a generalized PT-symmetric lattice
• A cavity-microscope for micrometer-scale control of atom-photon interactions
• Cascaded dynamics of a periodically driven dissipative dipolar system
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Dynamical localization in non-Hermitian quasi-crystals
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Dynamical chaotic phases and constrained quantum dynamics
• Toward a Theory of Phase Transitions in Quantum Control Landscapes
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• How to dress radio-frequency photons with tunable momentum
• Fractional resonances and prethermal states in Floquet systems
• Floquet-driven indirect exchange interaction mediated by topological insulator surface states
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Gapless higher-order topology and corner states in Floquet systems
• The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlations
• Floquet engineering triplet superconductivity in superconductors with spin-orbit coupling or altermagnetism
• Optically induced hybrid Bose-Fermi system in quantum wells with different charge carriers
• Synthetic Random Flux Model in a periodically-driven optical lattice
• Coherent control of dissipative dynamics in a periodically driven lattice array
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Sharp detection of the onset of Floquet heating using eigenstate sensitivity
• Absolutely stable time crystals at finite temperature
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Dynamic renormalization group theory for open Floquet systems
• Microwave-induced conductance replicas in hybrid Josephson junctions without Floquet-Andreev states
• Periodically driven perturbed CFTs: the sine-Gordon model
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Comment on "Quantum Time Crystals from Hamiltonians with Long-Range Interactions"
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Holographic Floquet states in low dimensions (II)
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Floquet analysis of a superradiant many-qutrit refrigerator
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit
• Manipulating phases in many-body interacting systems with subsystem resetting
• Ultrafast control of spin-orbital separation probed with time-resolved RIXS
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Universal Counterdiabatic Driving
• Quantum state preparation of topological chiral spin liquids via Floquet engineering
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• Real-time dynamics of the photoinduced topological state in organic conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ under continuous-wave and pulse excitations
• Prethermalization in aperiodically driven classical spin systems
• Observation of ergodicity breaking and quantum many-body scars in spinor gases
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Fractional Floquet theory
• Phase transition in a Aubry-Andre system with rapidly oscillating magnetic field
• Floquet States
• Nonequilibrium selection of magnetic order in driven triangular XY antiferromagnet
• Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
• Quantum algorithms for Schrieffer-Wolff transformation
• Superconductivity in a Topological Lattice Model with Strong Repulsion
• 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
• Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
• Microscopic Theory of Polaron-Polariton Dispersion and Propagation
• Light-induced large and tunable valley-selective Hall effect in a centrosymmetric system
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Transmission in strained graphene subjected to laser and magnetic fields
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Optically induced resonant tunneling of electrons in nanostructures
• Floquet engineering of the Lifshitz phase transition in the Hubbard model
• Corner transfer matrices for 2D strongly coupled many-body Floquet systems
• Harmonic dual dressing of spin one-half systems
• Meissner effect in Fock space
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap
• Floquet Graphene Antidot Lattices
• Oscillating states of periodically driven anharmonic Langevin systems
• Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal
• Signatures of fragmentation for periodically driven fermions
• Oscillatory states of quantum Kapitza pendulum
• Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields
• Chiral Luttinger liquids in graphene tuned by irradiation
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
• Kapitza stabilization of quantum critical order
• Semiconductor quantum well irradiated by a two-mode electromagnetic field as a terahertz emitter
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• 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${}_3$
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
• Full tunability and quantum coherent dynamics of a driven multilevel system
• Quasi-localization dynamics in a Fibonacci quantum rotor
• Controlling higher-orbital quantum phases of ultracold atoms via coupling to optical cavities
• Floquet-engineered chiral-induced spin selectivity
• Optical Conductivity Signatures of Floquet Electronic Phases
• Beyond Fermi's golden rule with the statistical Jacobi approximation
• Error-Resilient Floquet Geometric Quantum Computation
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Holographic Floquet states in low dimensions (I)
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• Photoinduced $\eta$-pairing correlation in the Hubbard ladder
• Universal quantum processors in spin systems via robust local pulse sequences
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Floquet expansion by counting pump photons
• Extended unitarity and absence of skin effect in periodically driven systems
• Arresting Quantum Chaos Dynamically in Transmon Arrays
• Rabi-resonant behavior of periodically-driven correlated fermion systems
• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Quantum Pairing Time Orders
• Floquet non-Abelian topological charges and edge states
• Light-Induced Mirror Symmetry Breaking and Charge Transport
• Role of correlations and off-diagonal terms in binary disordered one dimensional systems
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation
• Photoinduced prethermalization phenomena in correlated metals
• Dynamical phase transitions in the photodriven charge-ordered Dirac-electron system
• Quantum supremacy with analog quantum processors for material science and machine learning
• Structure-dynamics relation in shaken optical lattices
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Floquet theory and applications in open quantum and classical systems
• Majorana modes in trapped-ion system and their Floquet engineering
• A matrix product operator approach to non-equilibrium Floquet steady states
• Inducing anisotropies in Dirac fermions by periodic driving
• Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Period tripling due to Josephson parametric down-conversion beyond the rotating-wave approximation
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Floquet SYK wormholes
• Correspondence between a shaken honeycomb lattice and the Haldane model
• Floquet-driven crossover from density-assisted tunneling to enhanced pair tunneling
• Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
• Chiral anomaly in a (1+1)-dimensional Floquet system under high-frequency electric fields
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Solid-state magnetic traps and lattices
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Anomalous photo-thermal effects in multi-layered semi-Dirac black phosphorus
• Periodically Driven Harmonic Langevin Systems
• Dynamical preparation of an atomic condensate in a Hofstadter band
• Light-induced switch based on edge modes in irradiated thin topological insulators
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
• Variational Quantum Gate Optimization at the Pulse Level
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Continuously tracked, stable, large excursion trajectories of dipolar coupled nuclear spins
• Dynamical freezing and switching in periodically driven bilayer graphene
• Tunable quantum interference effects in Floquet two- and three-level systems
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Energy diffusion and prethermalization in chaotic billiards under rapid periodic driving
• Autonomous Stabilization of Floquet States Using Static Dissipation
• Optical control of the current-voltage relation in stacked superconductors
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid
• Quantum metamorphism
• Engineering Photon-mediated Long-Range Spin Interactions in Mott Insulators
• Non-linear optical processes in cavity light-matter systems
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Engineering Hierarchical Symmetries
• Error bounds for the Floquet-Magnus expansion and their application to the semiclassical quantum Rabi model
• Projective Spacetime Symmetry of Spacetime Crystals
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Photo-induced Floquet Weyl magnons in noncollinear antiferromagnets
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• All-optical control of excitons in semiconductor quantum wells
• Quantum transport phenomena induced by time-dependent fields
• Emergent eigenstate solution for generalized thermalization
• Stable many-body resonances in open quantum systems
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Phase diagrams of tunable spin-orbit coupled Bose-Einstein condensates
• Floquet dynamical chiral spin liquid at finite frequency
• Proposal for realizing quantum-spin systems on a two-dimensional square lattice with Dzyaloshinskii-Moriya interaction by Floquet engineering using Rydberg atoms
• Supersymmetry dynamics on Rydberg atom arrays
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Amplitude Amplification and Estimation using a Floquet system
• Stretched-Exponential Melting of a Dynamically Frozen State Under Imprinted Phase Noise in the Ising Chain in a Transverse Field
• Computing Floquet quasienergies in finite and extended systems: Role of electromagnetic and quantum-geometric gauges
• Nonthermal order by disorder
• Strong Markov dissipation in driven-dissipative quantum systems
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Stability of superfluids in tilted optical lattices with periodic driving
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Controlling magnetic correlations in a driven Hubbard system far from half-filling
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Walsh-Floquet Theory of Periodic Kick Drives
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Floquet Möbius topological insulators
• Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond
• Control over few photon pulses by a time-periodic modulation of the photon-emitter coupling
• Control of dynamical phase transitions and non-ergodic relaxation via spinor phases
• Optically tunable spin Hall effect in periodically driven monolayer transition metal dichalcogenides
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Nonequilibrium dynamics of suppression, revival, and loss of charge order in a laser pumped electron-phonon system
• Exceptional points in SSH-like models with hopping amplitude gradient
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Spin-wave dynamics controlled by tunable ac magnonic crystal
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Dynamically induced conformation depending on excited normal modes of fast oscillation
• Machine Learning approach to the Floquet--Lindbladian problem
• Effective (Floquet) Lindblad generators from spectral unwinding
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• The Rabi problem with elliptic polarization
• Low-frequency and Moiré Floquet engineering: a review
• Real space thermalization of locally driven quantum magnets
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Phases and phase transition in Grover's algorithm with systematic noise
• Probing microscopic models for system-bath interactions via parametric driving
• Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Optimal dynamical stabilization
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Two-particle topological Thouless spin pump
• Design and benchmarks for emulating Kondo dynamics on a quantum chip
• Adiabatic modulation of driving protocols in periodically driven quantum systems
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Floquet-Engineered Chern Insulator in two-dimensional $d_{x^2-y^2}$-Wave Altermagnets
• A thermodynamic probe of the topological phase transition in epitaxial graphene based Floquet topological insulator
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model
• Emergent Weyl-like points in periodically modulated systems
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
• Floquet vacuum engineering: Laser-driven chiral soliton lattice in the QCD vacuum
• Analytical solution of a free-fermion chain with time-dependent ramps
• Experimental protocol for observing single quantum many-body scars with transmon qubits
• Optical trapping of electrons in graphene
• Mode selectivity of dynamically induced conformation in many-body chain-like bead-spring model
• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Multiple resonant manipulation of qubits by train of pulses
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Frequency dependence of the light-induced Hall effect in dissipative graphene
• Geometric Floquet Condition for Quantum Adiabaticity
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Classical periodic trajectories and quantum scars in many-spin systems
• Theory of Multi-photon Processes for Applications in Quantum Control
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model
• Exact analysis of AC sensors based on Floquet time crystals
• Exact-WKB Analysis of Two-level Floquet Systems
• Stalled response near thermal equilibrium in periodically driven systems
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Geometric phase driven Josephson junction: Possible experimental scheme for the search of spin superfluidity
• Time-dependent Gutzwiller simulation of Floquet topological superconductivity
• Magnon Nesting in Driven Two-Dimensional Quantum Magnets
• Universality in Non-Equilibrium Quantum Systems
• Universal efficiency boost in prethermal quantum heat engines at negative temperature
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• Algebraic Exact Solution for Driven Landau Levels in Two-dimensional Electron Gases
• Discrete time crystals detected by time-translation twist
• Survival of current in a periodically driven hard-core bosonic system
• Effective dynamics and quantum state engineering by periodic kicks
• Floquet engineering of effective pairing interactions in a doped band insulator
• Multipassage Landau-Zener tunneling oscillations in transverse/longitudinal dual dressing of atomic qubits
• Floquet systems with continuous dynamical symmetries: characterization, time-dependent Noether charge, and solvability
• Topological anomalous Floquet photon pump
• Random-matrix approach to time-dependent forcing in many-body quantum systems
• Adiabatic and irreversible classical discrete time crystals
• Robust biexciton preparation for entangled photon-pair generation by single-shot Floquet driving
• Engineering long-range and multi-body interactions via global kinetic constraints
• Pump-Threshold-Free Frequency Comb via Cavity Floquet Engineering
• Generalized pulse design in Floquet engineering: Application to interacting spin systems
• Direct space-time modeling of mechanically dressed dipole-dipole interactions with electromagnetically-coupled oscillating dipoles
• Statistical Floquet prethermalization of the Bose-Hubbard model
• Floquet Engineering of Non-Equilibrium Superradiance
• Photo-induced directional transport in extended SSH chains
• Characterizing the transition from topology to chaos in a kicked quantum system
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Floquet engineering with spatially non-uniform driving fields
• Parametric Amplification of Spin-Motion Coupling in Three-Dimensional Trapped-Ion Crystals
• Steady state of periodically driven quantum systems
• Nonequilibrium hysteretic phase transitions in periodically light-driven superconductors
• Topological energy pumping in a quasi-periodically driven four-level system
• Floquet multiple exceptional points with higher-order skin effect
• Noise resilience of two-dimensional Floquet topological phases
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Weak-Memory Dynamics in Discrete Time
• Geometric Effects on Tunneling in Driven Quantum Systems
• Dissipation-Shaped Quantum Geometry in Nonlinear Transport
• Exploring fixed points and eigenstates of quantum systems with reinforcement learning
• Energy cost of dynamical stabilization: stored versus dissipated energy
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
• Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures
• Scalable phonon-laser arrays with self-organized synchronization
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Floquet quantum multiparameter estimation with periodic-driving-induced topological phase transition
• Multichromatic Floquet engineering of quantum dissipation
• Floquet Engineering Clock Transitions in Magnetic Molecules
• Signatures of the $\pi$-mode anomaly in (1+1) dimensional periodically-driven topological/normal insulator heterostructures
• Dynamical Signatures of Floquet Topology in Wave Packet Dynamics
• Floquet second-order topological insulator in strained graphene
• Ultracold atomic lattice systems for simulating topological phases: A review
• Floquet engineering of spin-valley selective transport in jacutingaite
• Onsager Reciprocal Relations for Charge and Spin Transport in Periodically Driven Systems
• Dirac Electrons in AC-Magnetic Fields: $\pi$-Landau Levels and Chiral Anomaly-Induced Homodyne Effect
• Quantum dynamics of a spin model with an extensive degeneracy
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Optically induced delocalization of electrons bound by attractive potentials
• Universal Response Functions in Driven Dissipative Tunneling Dynamics
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Compacton existence and spin-orbit density dependence in Bose-Einstein condensates
• Modelling assisted tunneling on the Bloch sphere using the Quantum Composer
• Unpolarized prethermal discrete time crystal
• Anomalous radiation reaction in a circularly polarized field
• Dynamical stabilization by vacuum fluctuations in a cavity: Resonant electron scattering in the ultrastrong light-matter coupling regime
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene
• Finding stability domains and escape rates in kicked Hamiltonians
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• On cat-human interaction from the viewpoint of physics: an equation of motion
• Study on axial fields in the dynamically assisted Schwinger effect
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Extended degenerate perturbation theory for the Floquet-Hilbert space
• Resonance enhancement of two photon absorption by magnetically trapped atoms in strong rf-fields
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Emergence of caustics in dynamics of the Kitaev model
• The time-domain Landau-Zener-Stuckelberg-Majorana interference in optical lattice clock