Equilibration and Order in Quantum Floquet Matter

Abstract

Equilibrium theormodynamics is characterized by two fundamental ideas: thermalisation--that systems approach a late time thermal state; and phase structure--that thermal states exhibit singular changes as various parameters characterizing the system are changed. We summarise recent progress that has established generalizations of these ideas to periodically driven, or Floquet, closed quantum systems. This has resulted in the discovery of entirely new phases which exist only out of equilibrium, such as the $\pi$-spin glass or Floquet time crystal.

short (6 pages) pedagogical introduction to recent developments, 2 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Photovoltaic Hall effect in graphene
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Periodically driven ergodic and many-body localized quantum systems
• Integrable Floquet dynamics
• Defining Time Crystals via Representation Theory

Cited by in corpus (193)

• Topological phases of non-Hermitian systems
• Topological Bands for Ultracold Atoms
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Dynamical quantum phase transitions: a review
• Many-body localization: an introduction and selected topics
• Fractons
• Time crystals: a review
• Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
• Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Topology and Broken Symmetry in Floquet Systems
• Strongly-Correlated Electron-Photon Systems
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• High-harmonic generation in solids with and without topological edge states
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Topology and geometry under the nonlinear electromagnetic spotlight
• Unravelling the large deviation statistics of Markovian open quantum systems
• The 2021 Quantum Materials Roadmap
• Perspective on topological states of non-Hermitian lattices
• Collapse and revival of quantum many-body scars via Floquet engineering
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Floquet prethermalization in a Bose-Hubbard system
• Many-body physics in the NISQ era: quantum programming a discrete time crystal
• A constructive theory of the numerically accessible many-body localized to thermal crossover
• Many body localization with long range interactions
• Strong Disorder RG approach - a short review of recent developments
• Long-Range Prethermal Phases of Nonequilibrium Matter
• Higher-order and fractional discrete time crystals in clean long-range interacting systems
• Period-$n$ discrete time crystals and quasicrystals with ultracold bosons
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Floquet analysis of excitations in materials
• Floquet dynamics in driven Fermi-Hubbard systems
• On time crystallinity in dissipative Floquet systems
• ${}^{31}$P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
• The fate of a discrete time crystal in an open system
• High-Harmonic Generation in a Correlated Electron System
• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Dynamical quantum phase transitions: a brief survey
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• Prethermalization without temperature
• Floquet maser
• Dynamics and Transport at the Threshold of Many-Body Localization
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Emergent prethermalization signatures in out-of-time ordered correlations
• Driving induced many-body localization
• Random multipolar driving: tunably slow heating through spectral engineering
• Multifractality without fine-tuning in a Floquet quasiperiodic chain
• Quantum and classical Floquet prethermalization
• Universality in driven open quantum matter
• Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
• Many-body localization in Fock-space: a local perspective
• Learning phase transitions from dynamics
• Condensed Matter Physics in Time Crystals
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• A flow equation approach to periodically driven quantum systems
• Resonant thermalization of periodically driven strongly correlated electrons
• A quantum annealer with fully programmable all-to-all coupling via Floquet engineering
• Stability of many-body localization in Floquet systems
• Percolation in Fock space as a proxy for many-body localisation
• Classical Stochastic Discrete Time Crystals
• Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
• Building continuous time crystals from rare events
• Floquet Spin Amplification
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Spin polarization through Floquet resonances in a driven central spin model
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Floquet Hopf Insulators
• Suppressing dissipation in a Floquet-Hubbard system
• Transport in Floquet-Bloch bands
• Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
• Periodically Driven Array of Single Rydberg Atoms
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
• Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians
• Absolutely Stable Spatiotemporal Order in Noisy Quantum Systems
• Dynamical topological invariants and reduced rate functions for dynamical quantum phase transitions in two dimensions
• Classification of Matrix-Product Unitaries with Symmetries
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Stability and pre-thermalization in chains of classical kicked rotors
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
• Steady states of a quasiperiodically driven integrable system
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Structural nonequilibrium forces in driven colloidal systems
• Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
• The Floquet Engineer's Handbook
• Custom flow in overdamped Brownian Dynamics
• Experimental Realization of Discrete Time Quasi-Crystals
• Locality and Heating in Periodically Driven, Power-law Interacting Systems
• Bistability and time crystals in long-ranged directed percolation
• Stochastic discrete time crystals: Entropy production and subharmonic synchronization
• Dissipative prethermal discrete time crystal
• Simulating prethermalization using near-term quantum computers
• Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Prethermal quasiconserved observables in Floquet quantum systems
• Quantum Emulation of Extreme Non-equilibrium Phenomena with Trapped Atoms
• Counterdiabatic Driving for Periodically Driven Systems
• Describing many-body localized systems in thermal environments
• Polynomial filter diagonalization of large Floquet unitary operators
• Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
• Control of Quantum Dynamics of Electron Transfer in Molecular Loop Structures: Spontaneous Breaking of Chiral Symmetry under Strong Decoherence
• Quantum frequency locking and down-conversion in a driven cavity-qubit system
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Dynamical exciton condensates in biased electron-hole bilayers
• Subharmonic oscillations in stochastic systems under periodic driving
• Geometric Floquet theory
• Flow Equations for Disordered Floquet Systems
• Dynamics of fluctuation correlation in periodically driven classical system
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamical enhancement of symmetries in many-body systems
• Emergent strong zero mode through local Floquet engineering
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Quantum noise detects Floquet topological phases
• Unitary Subharmonic Response and Floquet Majorana Modes
• Correlated nonequilibrium steady states without energy flux
• Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
• Mott, Floquet, and the response of periodically driven Anderson insulators
• Large-scale simulations of Floquet physics on near-term quantum computers
• Anomalous Random Multipolar Driven Insulators
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Long-lived coherence in driven spin systems: from two to infinite spatial dimensions
• Richardson-Gaudin models and broken integrability
• Divergence of the Floquet-Magnus expansion in a periodically driven one-body system with energy localization
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Floquet engineering of many-body states by the ponderomotive potential
• Spectral signatures of symmetry-breaking dynamical phase transitions
• Suppression of inter-band heating for random driving
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Dynamic renormalization group theory for open Floquet systems
• Dynamical chaotic phases and constrained quantum dynamics
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Fractional resonances and prethermal states in Floquet systems
• Floquet States
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• From prethermalization to chaos in periodically driven coupled rotors
• Prethermalization in aperiodically driven classical spin systems
• Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Theory for dissipative time crystals in coupled parametric oscillators
• Hopf algebras and solvable unitary circuits
• Dynamical potentials for non-equilibrium quantum many-body phases
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Prolonging a discrete time crystal by quantum-classical feedback
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Floquet-engineered chiral-induced spin selectivity
• Subdiffusion in wave packets with periodically kicked interactions
• Seasonal epidemic spreading on small-world networks: Biennial outbreaks and classical discrete time crystals
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Quantum metrology with Bloch Oscillations in Floquet phase space
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Simulating Cosmological Evolution by Quantum Quench of an Atomic BEC
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• 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
• Programmable time crystals from higher-order packing fields
• Protecting Quantum Information via Many-Body Dynamical Localization
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Anatomy of localisation protected quantum order on Hilbert space
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• Nonperturbative decay of bipartite discrete time crystals
• Critical behavior of a programmable time-crystal lattice gas
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Stalled response near thermal equilibrium in periodically driven systems
• Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid
• Quantum dynamics of a spin model with an extensive degeneracy
• Emergence of caustics in dynamics of the Kitaev model
• Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory
• Realizable time crystal of four silicon quantum dot qubits
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Floquet dynamics of disordered bands with isolated critical energies
• Ultrafast light-induced long range antiferromagnetic correlations in paramagnets
• Random-matrix approach to time-dependent forcing in many-body quantum systems
• Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble
• High Harmonic Generation in Two-Dimensional Mott Insulators