Periodic steady state and interference in a periodically driven quantum system

Abstract

We study the coherent dynamics of a quantum many-body system subject to a time-periodic driving. We argue that in many cases, destructive interference in time makes most of the quantum averages time-periodic, after an initial transient. We discuss in detail the case of a quantum Ising chain periodically driven across the critical point, finding that, as a result of quantum coherence, the system never reaches an infinite temperature state. Floquet resonance effects are moreover observed in the frequency dependence of the various observables, which display a sequence of well-defined peaks or dips. Extensions to non-integrable systems are discussed.

5 pages, 3 figures, supplementary material, Accepted by PRL

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Dynamical control of matter-wave tunneling in periodic potentials
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Strongly correlated fermions after a quantum quench
• Coherent control of dressed matter waves
• Observation of photon-assisted tunneling in optical lattices
• Exploring dynamic localization with a Bose-Einstein condensate
• Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Transverse Ising Chain under Periodic Instantaneous Quenches: Dynamical Many-Body Freezing and Emergence of Solitary Oscillation
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points

Cited by in corpus (155)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• Equilibrium states of generic quantum systems subject to periodic driving
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Fate of many-body localization under periodic driving
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Periodically driven ergodic and many-body localized quantum systems
• Floquet generation of Majorana end modes and topological invariants
• Periodic thermodynamics of isolated systems
• Floquet time crystal in the Lipkin-Meshkov-Glick model
• Thouless pumping and topology
• A theory of many-body localization in periodically driven systems
• Integrable Trotterization: Local Conservation Laws and Boundary Driving
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Mixed state dynamical quantum phase transition and emergent topology
• Heating and many-body resonances in a periodically driven two-band system
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Floquet time crystals in clock models
• Floquet engineering of long-range p-wave superconductivity
• Dynamical Stability of a Many-body Kapitza Pendulum
• Non-adiabatic breaking of topological pumping
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• The quantum Ising chain for beginners
• Stroboscopic prethermalization in weakly interacting periodically driven systems
• The fate of a discrete time crystal in an open system
• Dynamical localization in a chain of hard core bosons under a periodic driving
• Majorana edge modes in the Kitaev model
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• Nonequilibrium Quantum Phase Transitions in the Ising Model
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Defining Time Crystals via Representation Theory
• Aperiodically driven integrable systems and their emergent steady states
• Quantum and classical Floquet prethermalization
• Interaction stabilized steady states in the driven O(N) model
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• Absence of dynamical localization in interacting driven systems
• Driving enhanced quantum sensing in partially accessible many-body systems
• Quasi-periodically driven quantum systems
• Floquet control of quantum dissipation in spin chains
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Effects of interactions on periodically driven dynamically localized systems
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Localization, topology and quantized transport in disordered Floquet systems
• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Homogeneous Floquet time crystal protected by gauge invariance
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Prethermal quantum many-body Kapitza phases of periodically driven spin systems
• Exact solution of time-dependent Lindblad equations with closed algebras
• Parafermion chain with $2\pi /k$ Floquet edge modes
• Spin polarization through Floquet resonances in a driven central spin model
• Thermalization in a periodically driven fully-connected quantum Ising ferromagnet
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Dynamic steady-state of periodically-driven quantum systems
• Periodically Driven Array of Single Rydberg Atoms
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Spin and topological order in a periodically driven spin chain
• An instanton-like excitation of a discrete time crystal
• Multipartite entanglement after a quantum quench
• Asymptotic work statistics of periodically driven Ising chains
• Theory of Driven Nonequilibrium Critical Phenomena
• The fate of dynamical many-body localization in the presence of disorder
• Rabi Regime of Current Rectification in Solids
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Linear response as a singular limit for a periodically driven closed quantum system
• Stability and pre-thermalization in chains of classical kicked rotors
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Quantum Critical Scaling under Periodic Driving
• Steady states of a quasiperiodically driven integrable system
• (Quasi)Periodic revivals in periodically driven interacting quantum systems
• Many-body dynamical localization in the kicked Bose-Hubbard chain
• Phase Transition in the periodically pulsed Dicke Model
• Entanglement entropy in a periodically driven Ising chain
• Non equilibrium phase transitions and Floquet Kibble-Zurek scaling
• A Floquet perturbation theory for periodically driven weakly-interacting fermions
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Heating in integrable time-periodic systems
• Fibonacci steady states in a driven integrable quantum system
• Nonequilibrium phase transition in transport through a driven quantum point contact
• Time-dependent topological systems: A study of the Bott index
• Periodically driven many-body quantum battery
• Quenching in Chern insulators with satellite Dirac points: The fate of edge states
• Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
• Dynamical Quantum Phase Transitions in Extended Toric-Code Models
• Dynamical Many-body Localization and Delocalization in Periodically Driven Closed Quantum Systems
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Effects of local periodic driving on transport and generation of bound states
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Entanglement entropy in a periodically driven quantum Ising chain
• Floquet resonances close to the adiabatic limit and the effect of dissipation
• Quantum Control in Open and Periodically Driven Systems
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Dynamical Transition for a class of integrable models coupled to a bath
• Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
• Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
• Universality classes of thermalization for mesoscopic Floquet systems
• Exact results in Floquet coin toss for driven integrable models
• Dynamics of fluctuation correlation in periodically driven classical system
• Interferometry based on quantum Kibble-Zurek mechanism
• Chaos and subdiffusion in the infinite-range coupled quantum kicked rotors
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Quenching and generation of random states in a kicked Ising model
• Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
• Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• On the quantization of the Hall conductivity in the Harper-Hofstadter model
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• Richardson-Gaudin models and broken integrability
• Universal long-time behavior of stochastically driven interacting quantum systems
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Fermionic Magic Resources of Quantum Many-Body Systems
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Discrete time-crystals in unbounded potentials
• Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials
• Swapping Floquet time crystal
• Role of topology on the work distribution function of a quenched Haldane model of graphene
• Quantum coherence assisted dynamical phase transition
• Fragility to quantum fluctuations of classical Hamiltonian period doubling
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Dynamical freezing and switching in periodically driven bilayer graphene
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Stretched-Exponential Melting of a Dynamically Frozen State Under Imprinted Phase Noise in the Ising Chain in a Transverse Field
• Absence of disordered Thouless pumps at finite frequency
• Scatterless interferences: Delay of laminar-to-turbulent flow transition by a lattice of subsurface phonons
• Scrambling in Ising spin systems with periodic transverse magnetic fields
• Floquet-Anderson localization in the Thouless pump and how to avoid it
• Bose-Einstein condensation in a frustrated triangular optical lattice
• Geometric Floquet Condition for Quantum Adiabaticity
• Dynamical phase and quantum heat at fractional frequencies
• Quantum fluctuation theorem for initial near-equilibrium system
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Stalled response near thermal equilibrium in periodically driven systems
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Long-time properties of generic Floquet systems are approximately periodic with the driving period
• Survival of current in a periodically driven hard-core bosonic system
• Hysteresis in magnets
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
• Drive Quantum Matter
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain