Floquet Time Crystals

Abstract

We define what it means for time translation symmetry to be spontaneously broken in a quantum system, and show with analytical arguments and numerical simulations that this occurs in a large class of many-body-localized driven systems with discrete time-translation symmetry.

4 pages + 3 pages supplementary materials. Comments welcome. v4: rewritten introduction

References in corpus (14)

• Thermalization and its mechanism for generic isolated quantum systems
• Localization of interacting fermions at high temperature
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Area laws in quantum systems: mutual information and correlations
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Absence of Quantum Time Crystals
• Periodically driven ergodic and many-body localized quantum systems
• Classification of topological phases in periodically driven interacting systems
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
• Simulating weak localization using superconducting quantum circuits

Cited by in corpus (695)

• Many-body localization, thermalization, and entanglement
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Atomic quantum gases in periodically driven optical lattices
• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Dynamical quantum phase transitions: a review
• Many-body localization: an introduction and selected topics
• Discrete time crystals: rigidity, criticality, and realizations
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Time crystals: a review
• Random Quantum Circuits
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Periodic Table for Floquet Topological Insulators
• Recent progress in many-body localization
• Non-stationary coherent quantum many-body dynamics through dissipation
• Discrete Time Crystals
• Periodically Driving a Many-Body Localized Quantum System
• Boundary time crystals
• Long-range interacting quantum systems
• Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
• Pre-thermal phases of matter protected by time-translation symmetry
• Equilibration and Order in Quantum Floquet Matter
• Observation of a dissipative time crystal
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Symmetries and selection rules in Floquet systems: application to harmonic generation in nonlinear optics
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Topology and Broken Symmetry in Floquet Systems
• Floquet time crystal in the Lipkin-Meshkov-Glick model
• Observation of a prethermal discrete time crystal
• Strongly-Correlated Electron-Photon Systems
• Observation of time quasicrystal and its transition to superfluid time crystal
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
• Colloquium: Quantum and Classical Discrete Time Crystals
• Observation of a space-time crystal in a superfluid quantum gas
• Temporal order in periodically driven spins in star-shaped clusters
• Many-body quantum chaos: Analytic connection to random matrix theory
• Observation of anomalous π modes in photonic Floquet engineering
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Critical Time Crystals in Dipolar Systems
• Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
• Chiral Floquet Phases of Many-body Localized Bosons
• Towards quantum simulation with circular Rydberg atoms
• Dicke time crystals in driven-dissipative quantum many-body systems
• Machine learning out-of-equilibrium phases of matter
• Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension
• Classical Discrete Time Crystals
• Integrable Trotterization: Local Conservation Laws and Boundary Driving
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• Photoinduced topological phase transitions in strained black phosphorus
• Quantum Time Crystals from Hamiltonians with Long-Range Interactions
• Floquet Higher-Order Topological Insulators with Anomalous Dynamical Polarization
• All-Optical Dissipative Discrete Time Crystals
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Ballistic spin transport in a periodically driven integrable quantum system
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
• Floquet States in Open Quantum Systems
• The isolated Heisenberg magnet as a quantum time crystal
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Floquet prethermalization in a Bose-Hubbard system
• Dissipation Induced Nonstationarity in a Quantum Gas
• On the survival of Floquet-Bloch states in the presence of scattering
• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
• Simulation of non-Abelian braiding in Majorana time crystals
• Floquet time crystals in clock models
• Many-body physics in the NISQ era: quantum programming a discrete time crystal
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Floquet topological phases with symmetry in all dimensions
• A constructive theory of the numerically accessible many-body localized to thermal crossover
• Influence matrix approach to many-body Floquet dynamics
• Many body localization with long range interactions
• Floquet Topological Order in Interacting Systems of Bosons and Fermions
• Time crystals in periodically driven systems
• Long-Range Prethermal Phases of Nonequilibrium Matter
• Higher-order and fractional discrete time crystals in clean long-range interacting systems
• Classical many-body time crystals
• Period-$n$ discrete time crystals and quasicrystals with ultracold bosons
• Radical chiral Floquet phases in a periodically driven Kitaev model and beyond
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
• Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• ${}^{31}$P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
• Many-body localization, symmetry, and topology
• On time crystallinity in dissipative Floquet systems
• Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
• Anomalous Floquet Insulators
• The fate of a discrete time crystal in an open system
• Counting Rules of Nambu-Goldstone Modes
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Classical Prethermal Phases of Matter
• Dynamical quantum phase transitions: a brief survey
• Discrete Time Quasi-Crystals
• Dissipative time crystal in a strongly interacting Rydberg gas
• Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
• Interacting invariants for Floquet phases of fermions in two dimensions
• Prethermalization without temperature
• Dynamics and Transport at the Threshold of Many-Body Localization
• Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
• Time crystals: analysis of experimental conditions
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Exact Floquet quantum many-body scars under Rydberg blockade
• From a continuous to a discrete time crystal in a dissipative atom-cavity system
• Dynamical quantum phase transitions in discrete time crystals
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I
• Emergent prethermalization signatures in out-of-time ordered correlations
• Continuous sensing and parameter estimation with the boundary time-crystal
• Driving induced many-body localization
• Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
• Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
• Steady states and edge state transport in topological Floquet-Bloch systems
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Dynamically enriched topological orders in driven two-dimensional systems
• Random multipolar driving: tunably slow heating through spectral engineering
• Persistent coherent beating in coupled parametric oscillators
• Quantized magnetization density in periodically driven systems
• Discrete time crystal in globally driven interacting quantum systems without disorder
• Integrable many-body quantum Floquet-Thouless pumps
• Defining Time Crystals via Representation Theory
• General description for nonequilibrium steady states in periodically driven dissipative quantum systems
• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Quantum metrology with boundary time crystals
• Aperiodically driven integrable systems and their emergent steady states
• Parametric Instability Rates in Periodically-Driven Band Systems
• Time crystals in a shaken atom-cavity system
• Floquet prethermalization in periodically driven classical spin systems
• Time crystal behavior of excited eigenstates
• Time crystallinity in open quantum systems
• Topologically protected braiding in a single wire using Floquet Majorana modes
• Floquet Quantum Criticality
• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Absence of dynamical localization in interacting driven systems
• Driving enhanced quantum sensing in partially accessible many-body systems
• Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
• Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Learning phase transitions from dynamics
• Real space observation of magnon interaction with driven space-time crystals
• Floquet Phases of Matter via Classical Prethermalization
• Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
• Drive Induced Delocalization in Aubry-André Model
• Condensed Matter Physics in Time Crystals
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Boundary time crystals in collective $d$-level systems
• Topological Time Crystals
• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Effects of interactions on periodically driven dynamically localized systems
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Minimalist approach to the classification of symmetry protected topological phases
• Floquet conformal field theories with generally deformed Hamiltonians
• Non-Hermitian Floquet Topological Matter -- A Review
• Dynamical engineering of interactions in qudit ensembles
• Stability of many-body localization in Floquet systems
• Observation of a critical prethermal discrete time crystal created by two-frequency driving
• Effective Floquet Hamiltonian in the low-frequency regime
• Probing quantum thermalization of a disordered dipolar spin ensemble with discrete time-crystalline order
• Bounds in Nonequilibrium Quantum Dynamics
• Classical Stochastic Discrete Time Crystals
• Measurement Induced Continuous Time Crystals
• Time-quasiperiodic topological superconductors with Majorana Multiplexing
• Floquet Time Spirals and Stable Discrete Time Quasi-Crystals in Quasi-Periodically Driven Quantum Many-Body Systems
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Discrete time-crystalline response stabilized by domain-wall confinement
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Floquet chiral magnetic effect
• Homogeneous Floquet time crystal protected by gauge invariance
• Many-body localization caused by temporal disorder
• Simulating complex quantum networks with time crystals
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Multiple-period Floquet states and time-translation symmetry breaking in quantum oscillators
• Emergent hydrodynamics in non-equilibrium quantum systems
• Fractional Time Crystals
• Discrete time crystal enabled by Stark many-body localization
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Theory of coupled parametric oscillators beyond coupled Ising spins
• Topological energy conversion through bulk or boundary of driven systems
• The fate of quantum many-body scars in the presence of disorder
• Emergent ergodicity at the transition between many-body localized phases
• Dissipative time crystals with long-range Lindbladians
• Sub-diffusive Thouless time scaling in the Anderson model on random regular graphs
• Emergent parametric resonances and time-crystal phases in driven BCS systems
• Building continuous time crystals from rare events
• Floquet Spin Amplification
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Topological and symmetry-enriched random quantum critical points
• On quantum time crystals and interacting gauge theories in atomic Bose-Einstein condensates
• Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors
• Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
• Steady state of interacting Floquet insulators
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Floquet time-crystals as sensors of AC fields
• Three-dimensional localized-delocalized Anderson transition in the time domain
• Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
• Cavity magnon-polaritons in cuprate parent compounds
• The fine structure of heating in a quasiperiodically driven critical quantum system
• Engineering Floquet Dynamical Quantum Phase Transition
• Periodically Driven Array of Single Rydberg Atoms
• Quantum time crystals with programmable disorder in higher dimensions
• Classification of $S{L}_2$ deformed Floquet Conformal Field Theories
• Discrete time crystal in a finite chain of Rydberg atoms without disorder
• An instanton-like excitation of a discrete time crystal
• Quantum trajectories of dissipative time-crystals
• Fermi's golden rule for heating in strongly driven Floquet systems
• Spin and topological order in a periodically driven spin chain
• To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
• Absolutely Stable Spatiotemporal Order in Noisy Quantum Systems
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Dynamical quantum phase transition for mixed states in open systems
• Creating big time crystals with ultracold atoms
• Mode softening in time-crystalline transitions of open quantum systems
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Quasiperiodic Floquet-Thouless energy pump
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Classification of Matrix-Product Unitaries with Symmetries
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Tunable space-time crystal in room-temperature magnetodielectrics
• Stark time crystals: Symmetry breaking in space and time
• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
• Localization and transport in a strongly driven Anderson insulator
• Anderson localization of a Rydberg electron along a classical orbit
• Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
• Periodically driven integrable systems with long-range pair potentials
• Krylov construction and complexity for driven quantum systems
• Non-thermalization in trapped atomic ion spin chains
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Transient superconductivity without superconductivity
• Stability and pre-thermalization in chains of classical kicked rotors
• Quantized large-bias current in the anomalous Floquet-Anderson insulator
• Bounds on Energy Absorption and Prethermalization in Quantum Systems with Long-Range Interactions
• Simulation of quantum many-body dynamics with Tensor Processing Units: Floquet prethermalization
• Rigorous bounds on dynamical response functions and time-translation symmetry breaking
• Spatial-Translation-Induced Discrete Time Crystals
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• 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
• Analytic (3+1)-dimensional gauged Skyrmions, Heun and Whittaker-Hill equations and resurgence
• A dissipative time crystal with or without ${\mathbb{Z}}_2$ symmetry breaking
• Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
• Steady states of a quasiperiodically driven integrable system
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Photonic Floquet time crystals
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
• Synthetic dimensions for topological and quantum phases: Perspective
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• An eternal discrete time crystal beating the Heisenberg limit
• Many-Body Localization with Quasiperiodic Driving
• (Quasi)Periodic revivals in periodically driven interacting quantum systems
• Square-root Floquet topological phases and time crystals
• Coffee stains, cell receptors, and time crystals: Lessons from the old literature
• Non-Abelian symmetries and disorder: a broad non-ergodic regime and anomalous thermalization
• Phase diagram and optimal control for n-tupling discrete time crystal
• Entangled time-crystal phase in an open quantum light-matter system
• Discrete time crystals enforced by Floquet-Bloch scars
• Many-body synchronisation in a classical Hamiltonian system
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• The Fermi-Dirac staircase occupation of Floquet bands and current rectification inside the optical gap of metals: a rigorous perspective
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Discrete time crystals in many-body quantum chaos
• Dynamical construction of Quadrupolar and Octupolar topological superconductors
• A Photoinduced Floquet Mixed-Weyl Semimetallic Phase in a Carbon Allotrope
• The Floquet Engineer's Handbook
• Out-of-Time-Ordered Crystals and Fragmentation
• Topology and localization of a periodically driven Kitaev model
• Quantum information geometry of driven CFTs
• Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
• Experimental Realization of Discrete Time Quasi-Crystals
• Floquet time crystals in driven spin systems with all-to-all $p$-body interactions
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Floquet Scalar Dynamics in Global AdS
• Dynamics of a Space-Time Crystal in an Atomic Bose-Einstein Condensate
• Prethermal fragmentation in a periodically driven Fermionic chain
• The optimal frequency window for Floquet engineering in optical lattices
• Genuine Multipartite Correlations in a Boundary Time Crystal
• Fibonacci steady states in a driven integrable quantum system
• Dissecting Sub-Cycle Interference in Photoelectron Holography
• Periodically driven Rydberg chains with staggered detuning
• Proof of the absence of long-range temporal orders in Gibbs states
• Critical Theory for the Breakdown of Photon Blockade
• Bistability and time crystals in long-ranged directed percolation
• Stochastic discrete time crystals: Entropy production and subharmonic synchronization
• Trotter errors from dynamical structural instabilities of Floquet maps in quantum simulation
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Floquet-Enhanced Spin Swaps
• Coherent dynamics in frustrated coupled parametric oscillators
• Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
• Long-lived topological time-crystalline order on a quantum processor
• Measurement induced transitions in non-Markovian free fermion ladders
• Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
• Out-of-Time-Order correlators in driven conformal field theories
• History states of systems and operators
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Observing Floquet topological order by symmetry resolution
• Non-equilibrium phase transitions in coupled nonlinear optical resonators
• Realizing time crystals in discrete quantum few-body systems
• Dissipative prethermal discrete time crystal
• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
• Suppression of heating by long-range interactions in periodically driven spin chains
• Eigenstate phases with finite on-site non-Abelian symmetry
• Chimera Time-Crystalline order in quantum spin networks
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions
• Time Quasilattices in Dissipative Dynamical Systems
• High-temperature nonequilibrium Bose condensation induced by a hot needle
• Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling
• Effects of local periodic driving on transport and generation of bound states
• Stability of Periodically Driven Topological Phases against Disorder
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Realization of an inherent time crystal in a dissipative many-body system
• Many-body localization in long range model: Real space renormalization group study
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Six-dimensional time-space crystalline structures
• Boundary Time Crystals as AC sensors: enhancements and constraints
• Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
• A Decade of Time Crystals: Quo Vadis?
• Topological frequency conversion in Weyl semimetals
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Counterdiabatic Driving for Periodically Driven Systems
• Anharmonic classical time crystals: A coresonance pattern formation mechanism
• Lack of a genuine time crystal in a chiral soliton model
• Quantum Quench and Charge Oscillations in the SU(3) Hubbard Model: a Test of Time Evolving Block Decimation with general non-Abelian Symmetries
• Fractal nature of high-order time crystal phases
• Describing many-body localized systems in thermal environments
• String order parameters for 1d Floquet Symmetry Protected Topological Phases
• Probing non-equilibrium topological order on a quantum processor
• Quantum thermodynamics of boundary time-crystals
• Imaginary time crystal of thermal quantum matter
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• On the number of Bose-selected modes in driven-dissipative ideal Bose gases
• Stroboscopic aliasing in long-range interacting quantum systems
• Nonequilibrium transition between dissipative time crystals
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Many-Body Effects and Quantum Fluctuations for Discrete Time Crystals in Bose-Einstein Condensates
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• The Real-Time Correlation Function of Floquet Conformal Fields
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
• Polynomial filter diagonalization of large Floquet unitary operators
• Dissipative time crystals originating from parity-time symmetry
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Nonlinear Floquet dynamics of spinor condensates in an optical cavity: Cavity-amplified parametric resonance
• Holographic dissipative space-time supersolids
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Localization persisting under aperiodic driving
• Random matrix theory for quantum and classical metastability in local Liouvillians
• Prethermalization and entanglement dynamics in interacting topological pumps
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Quantum frequency locking and down-conversion in a driven cavity-qubit system
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
• Thermal and dissipative effects on the heating transition in a driven critical system
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Optimal Hamiltonian simulation for time-periodic systems
• Exotic synchronization in continuous time crystals outside the symmetric subspace
• Stability of Floquet Majorana box qubits
• Entanglement Transitions in Unitary Circuit Games
• Space-time crystalline order of a high-critical-temperature superconductor with intrinsic Josephson junctions
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
• Subharmonic oscillations in stochastic systems under periodic driving
• An infinite family of 3d Floquet topological paramagnets
• Space-Time Quasicrystal Structures and Inflationary and Late Time Evolution Dynamics in Accelerating Cosmology
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• The Floquet Fermi Liquid
• Time Crystal in a Single-mode Nonlinear Cavity
• Time-crystalline Topological Superconductors
• Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems
• Exact results in Floquet coin toss for driven integrable models
• Tuning between continuous time crystals and many-body scars in long-range XYZ spin chains
• Topological edge states at Floquet quantum criticality
• Discrete time crystal in the gradient field Heisenberg model
• Dynamically induced many-body localization
• Universality classes of thermalization for mesoscopic Floquet systems
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
• Floquet Supersymmetry
• Integrable Quantum Circuits from the Star-Triangle Relation
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Bose-Hubbard realization of fracton defects
• Quantum Zeno effect in self-sustaining systems: suppressing phase diffusion via repeated measurements
• Boundary conductance in macroscopic bismuth crystals
• Euler top with a rotor: classical analogies of spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model
• Quantized Floquet topology with temporal noise
• From Dynamical Localization to Bunching in interacting Floquet Systems
• Dynamics of fluctuation correlation in periodically driven classical system
• Floquet dynamics of classical and quantum cavity fields
• Probing anomalous driving
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamical enhancement of symmetries in many-body systems
• Functional field integral approach to quantum work
• Flow Equations for Disordered Floquet Systems
• Breakdown of Markovianity by interactions in stroboscopic Floquet-Lindblad dynamics under high-frequency drive
• Oscillations in feedback driven systems: thermodynamics and noise
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Topological and dynamical features of periodically driven spin ladders
• Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
• Dynamical nonlocality in quantum time via modular operators
• Realizing discrete time crystal in an one-dimensional superconducting qubit chain
• Discrete time symmetry breaking in quantum circuits: exact solutions and tunneling
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Ergodic-localized junctions in periodically-driven systems
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Interacting Floquet topological phases in three dimensions
• Nonlocal discrete time crystals in periodically driven surface codes
• Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
• Electronic Floquet Liquid Crystals
• Unitary Subharmonic Response and Floquet Majorana Modes
• Period tripling due to parametric down-conversion in circuit QED
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations
• On the long-term stability of space-time crystals
• Stable measurement-induced Floquet enriched topological order
• Asymptotic Floquet states of non-Markovian systems
• The Fredkin staircase: An integrable system with a finite-frequency Drude peak
• Inseparable time-crystal geometries on the Möbius strip
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Feasible model for photo-induced interband pairing
• Time-crystalline behavior in an engineered spin chain
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Topological Micromotion of Floquet Quantum Systems
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Periodic thermodynamics of the parametrically driven harmonic oscillator
• Absence of localization in two-dimensional Clifford circuits
• Controlled preparation of phases in two-dimensional time crystals
• Spatiotemporally ordered patterns in a chain of coupled dissipative kicked rotors
• Spreading of correlations in the Falicov-Kimball model
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Leveraging static quantum many-body scars into period-doubled responses
• Long-lived coherence in driven spin systems: from two to infinite spatial dimensions
• Robust effective ground state in a nonintegrable Floquet quantum circuit
• Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance
• Eigenstate properties of the disordered Bose-Hubbard chain
• 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
• Tunable interface states between Floquet-Weyl semimetals
• Suppression of inter-band heating for random driving
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Absolutely stable time crystals at finite temperature
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Fractional resonances and prethermal states in Floquet systems
• Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
• Indication of critical scaling in time during the relaxation of an open quantum system
• Anderson Molecules
• Topologically protected boundary discrete time crystal for a solvable model
• Provenance of classical Hamiltonian time crystals
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Localization length versus level repulsion in 1-D driven disordered quantum wires
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Thermodynamics and Phase Transition in Shapere-Wilczek {\it fgh} model: Cosmological Time Crystal in Quadratic Gravity
• Sensing with discrete time crystals
• Dynamical localization in non-Hermitian quasi-crystals
• Response of a quantum disordered spin system to a local periodic drive
• Prethermalization in aperiodically driven classical spin systems
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Clean two-dimensional Floquet time-crystal
• Discrete time-crystals in unbounded potentials
• Floquet States
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Floquet Analysis of Frequency Collisions
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Neural network enhanced hybrid quantum many-body dynamical distributions
• Floquet engineered inhomogeneous quantum chaos in critical systems
• Space-time symmetry breaking in nonequilibrium frustrated magnetism
• From prethermalization to chaos in periodically driven coupled rotors
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Topological $\pi$ modes and beyond
• Coherent multiple-period states in a resonantly driven qubit
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• Optical spin conductivity in ultracold quantum gases
• Comment on "Quantum Time Crystals from Hamiltonians with Long-Range Interactions"
• Hopf algebras and solvable unitary circuits
• Theory for dissipative time crystals in coupled parametric oscillators
• Charge Oscillations Emerging after Application of an Intense Light Field to Superconductors on a Dimer Lattice
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Fate of Algebraic Many-Body Localization under driving
• Critical dynamics of long-range quantum disordered systems
• Discrete time crystal in an open optomechanical system
• Designing adiabatic time-evolution from high frequency bichromatic sources
• Hybrid quantum-classical chaotic NEMS
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Classical and quantum time crystals in a levitated nanoparticle without drive
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Time-crystalline behavior in central-spin models with Heisenberg interactions
• Engineering nonequilibrium steady states through Floquet Liouvillians
• Discrete Time Crystals with Absolute Stability
• Dressed Rabi oscillation in a crystalline organic radical
• Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Dynamic transition from insulating state to eta-pairing state in a composite non-Hermitian system
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Continuous time crystal from a spontaneous many-body Floquet state
• Dynamical potentials for non-equilibrium quantum many-body phases
• Floquet engineering multi-channel Kondo physics
• Time crystal and chaos in the hybrid atom-optomechanics system
• Cosmological Time Crystals From Einstein-Cubic Gravities
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
• Thermodynamics and Protection of Discrete-Time Crystals
• Topological excitations at time vortices in periodically driven systems
• Classical Phase Space Crystals in an Open Environment
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Topologically ordered time crystals
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz
• Swapping Floquet time crystal
• Topological physics in quantum critical systems
• Prolonging a discrete time crystal by quantum-classical feedback
• Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Non-dispersing wave packets in lattice Floquet systems
• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Fragility to quantum fluctuations of classical Hamiltonian period doubling
• Quantum metrology with Bloch Oscillations in Floquet phase space
• Floquet theory and applications in open quantum and classical systems
• A metronome spin stabilizes time-crystalline dynamics
• A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry
• Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Dephasing-induced growth of discrete crystalline order in spin networks
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Photoinduced High-Frequency Charge Oscillations in Dimerized Systems
• Discrete time-crystalline order in Bose-Hubbard model with dissipation
• Quantifying spatio-temporal patterns in classical and quantum systems out of equilibrium
• A matrix product operator approach to non-equilibrium Floquet steady states
• Stark Many-Body Localisation Under Periodic Driving
• Engineering subharmonic responses beyond prethermalization via Floquet scar states
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Time dispersion in quantum electrodynamics
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Stable many-body resonances in open quantum systems
• Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals
• Discrete Time Crystal Phase of Higher Dimensional Integrable Models
• Engineering Hierarchical Symmetries
• Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
• Topological frequency conversion in rhombohedral multilayer graphene
• Discrete time crystal made of topological edge magnons
• Programmable time crystals from higher-order packing fields
• Time-tronics: from temporal printed circuit board to quantum computer
• Emergence of spatial patterns and synchronization in superconducting time crystals
• Topologically protected quantized changes of the distance between atoms
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Temporal localization of optical waves supported by a copropagating quasiperiodic structure
• Thermodynamics of coupled time crystals with an application to energy storage
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Topological semimetal with coexisting nodal points and nodal lines
• Subharmonic spin correlations and spectral pairing in Floquet time crystals
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Phase Transitions and Conductivties of Floquet Fluids
• Time Crystals from single-molecule magnet arrays
• Complete characterization of spin chains with two Ising symmetries
• Discrete Lorentz symmetry and discrete time translational symmetry
• Tunable quantum interference effects in Floquet two- and three-level systems
• Efficient quantum information probes of non-equilibrium quantum criticality
• Variational principle for time-periodic quantum systems
• Quantum metamorphism
• The time crystal phase emerges from the qubit network under unitary random operations
• Symmetry-induced fragmentation and dissipative time crystal
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Floquet dynamics of Rabi model beyond the counterrotating hybridized rotating wave method
• The Symmetry Principle in Condensed Matter Physics (I)
• Subharmonic fidelity revival in a driven PXP model
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Periodically Driven Many-Body Systems: A Floquet Density Matrix Renormalization Group Study
• Automated detection of symmetry-protected subspaces in quantum simulations
• Anatomy of localisation protected quantum order on Hilbert space
• Superconvergence of Topological Entropy in the Symbolic Dynamics of Substitution Sequences
• Generalized criteria of symmetry breaking. A strategy for quantum time crystals
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Stable time rondeau crystals in dissipative many-body systems
• Diagnosing quantum transport from wave function snapshots
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Cosmological Time Crystals from Gauss-Bonnet Gravity in Four Dimensions
• Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems
• Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
• Superfluidity vs prethermalisation in a nonlinear Floquet system
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Bounds on the recurrence probability in periodically-driven quantum systems
• Condensed matter physics in big discrete time crystals
• Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
• Energy gap of neutral excitations implies vanishing charge susceptibility
• Critical behavior of a programmable time-crystal lattice gas
• Seeding crystallization in time
• $2+1$ dimensional Floquet systems and lattice fermions: Exact bulk spectral equivalence
• Discrete time crystals detected by time-translation twist
• The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
• Effective dynamics and quantum state engineering by periodic kicks
• Dissipation and non-thermal states in cryogenic cavities
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Prethermalization, shadowing breakdown, and the absence of Trotterization transition in quantum circuits
• Stability of emergent time periodicity in a few-body interacting system
• Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
• Correlations in Circular Quantum Cascades
• Variational approach to open quantum systems with long-range competing interactions
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Observation of tunable discrete time crystalline phases
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• Adiabatic modulation of driving protocols in periodically driven quantum systems
• Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Low-frequency and Moiré Floquet engineering: a review
• Realization of Two-dimensional Discrete Time Crystals with Anisotropic Heisenberg Coupling
• Information scrambling and entanglement dynamics in Floquet Time Crystals
• Neural networks with quantum states of light
• Nonperturbative decay of bipartite discrete time crystals
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• Noise resilience of two-dimensional Floquet topological phases
• Floquet-engineered system-reservoir interaction in the transverse field Ising model
• Nonergodic delocalized paramagnetic states in quantum neural networks
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Emergent time crystals from phase-space noncommutative quantum mechanics
• Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory
• Extended degenerate perturbation theory for the Floquet-Hilbert space
• Topological energy pumping in a quasi-periodically driven four-level system
• Logarithmic quantum time crystal
• Topical review on acousto-optical Floquet engineering of single-photon emitters
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Time Crystal from Self-Amplification of Spontaneous Analog Hawking Radiation
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
• Quantum dynamics of a spin model with an extensive degeneracy
• Tunable intertwining via collective excitations
• Orbital magnetization of Floquet topological systems
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
• Quantum Multicritical Behavior for Coupled Optical Cavities with Driven Laser Fields
• Pump-Threshold-Free Frequency Comb via Cavity Floquet Engineering
• Adiabatic and irreversible classical discrete time crystals
• Many-body state and dynamic behaviour of the pair-correlation function of a small Bose-Einstein condensate confined in a ring potential
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• Towards Timetronics with Photonic Systems
• Pre-Floquet states facilitating coherent subharmonic response of periodically driven many-body systems
• A comment on "Discrete time crystals: rigidity, criticality, and realizations"
• Reply to Comment on "Discrete Time Crystals: Rigidity Criticality and Realizations"
• Slowly decaying real-time oscillations in instanton crystal
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
• Formation of Complex Discrete Time Crystals with Ultracold Atoms
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Effective Hamiltonians for almost-periodically driven quantum systems
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous
• Realizable time crystal of four silicon quantum dot qubits
• Star-topology Registers: NMR and Quantum Information Perspectives
• Quantum repetition codes as building blocks of large period discrete time crystals
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Unpolarized prethermal discrete time crystal
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Peratic Phase Transition by Bulk-to-Surface Response
• Quantum Boomerang Effect in Time-Crystalline Structures
• Discrete time crystal order in spin chains enabled by Floquet flat bands
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems
• Fock space prethermalization and time-crystalline order on a quantum processor
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Floquet dynamics of disordered bands with isolated critical energies
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Time Crystals in Actively Mode-locked Lasers