Quantum and classical Floquet prethermalization
arXiv:2212.00041 · doi:10.1016/j.aop.2023.169297
Abstract
Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause heating, and lead to a featureless infinite-temperature state, hindering most useful applications. It is therefore important to find mechanisms to suppress such effects. Floquet prethermalization refers to the phenomenon where many-body systems subject to a high-frequency periodic drive avoid heating for very long times, instead tending to transient states that can host interesting physics. Its key signature is a strong parametric suppression of the heating rate as a function of the driving frequency. Here, we review our present understanding of this phenomenon in both quantum and classical systems, and across various models and methods. In particular, we present rigorous theorems underpinning Floquet prethermalization in quantum spin and fermionic lattice systems, extensions to systems with degrees of freedom that have unbounded local dimension. Further, we briefly describe applications to novel nonequilibrium phases of matter, and recent experiments probing prethermalization with quantum simulators. We close by describing the frontiers of Floquet prethermalization beyond strictly time-periodic drives, including time-quasiperiodic driving and long-lived quasi-conserved quantities enabled by large separation of energy scales.
arXiv commentreview paper, 15 pages, comments are welcome
References in corpus (54)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Atomic quantum gases in periodically driven optical lattices
- The Magnus expansion and some of its applications
- Floquet Engineering of Quantum Materials
- Many-body localization in periodically driven systems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Exponentially slow heating in periodically driven many-body systems
- Fate of many-body localization under periodic driving
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- Periodically driven ergodic and many-body localized quantum systems
- Discrete Time Crystals
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Equilibration and Order in Quantum Floquet Matter
- Many-body energy localization transition in periodically driven systems
- Observation of a prethermal discrete time crystal
- Tailoring quantum gases by Floquet engineering
- Periodic steady state and interference in a periodically driven quantum system
- Exotic Freezing of Response in Quantum Many-Body System
- Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
- Collapse and revival of quantum many-body scars via Floquet engineering
- Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
- Dynamical Stability of a Many-body Kapitza Pendulum
- Integrable Floquet dynamics
- Sufficient conditions for the convergence of the Magnus expansion
- Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
- Classical Prethermal Phases of Matter
- Exact Floquet quantum many-body scars under Rydberg blockade
- An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
- Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
- Floquet prethermalization in periodically driven classical spin systems
- Absence of dynamical localization in interacting driven systems
- Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems
- Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
- Resonant thermalization of periodically driven strongly correlated electrons
- Absence of Thermalization in Finite Isolated Interacting Floquet Systems
- Periodically Driven Sachdev-Ye-Kitaev Models
- Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
- Stability and pre-thermalization in chains of classical kicked rotors
- Bounds on Energy Absorption and Prethermalization in Quantum Systems with Long-Range Interactions
- Heating in integrable time-periodic systems
- Suppression of heating by long-range interactions in periodically driven spin chains
- Adiabatic landscape and optimal paths in ergodic systems
- Constructing quantum many-body scar Hamiltonians from Floquet automata
- Heating Rates under Fast Periodic Driving beyond Linear Response
- Dynamics of fluctuation correlation in periodically driven classical system
- From prethermalization to chaos in periodically driven coupled rotors
- Stability, Isolated Chaos, and Superdiffusion in Nonequilibrium Many-Body Interacting Systems
- Low-frequency and Moiré Floquet engineering: a review
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- Non-Hermitian Floquet Topological Matter -- A Review
- Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
- Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
- Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using piecewise conservation laws
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Geometric Floquet theory
- Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order
- Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
- Two-step relaxation in local many-body Floquet systems
- Floquet engineering of many-body states by the ponderomotive potential
- Sharp detection of the onset of Floquet heating using eigenstate sensitivity
- Prethermalization in aperiodically driven classical spin systems
- Tangent space generators of matrix product states and exact Floquet quantum scars
- Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
- Beyond Fermi's golden rule with the statistical Jacobi approximation
- Continuous-time quantum optimisation without the adiabatic principle
- Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
- Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
- Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
- Photoinduced metallic Volkov-Pankratov states in semi-Dirac material
- Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
- Stretched-Exponential Melting of a Dynamically Frozen State Under Imprinted Phase Noise in the Ising Chain in a Transverse Field
- Stable time rondeau crystals in dissipative many-body systems
- Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
- Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
- Nonperturbative decay of bipartite discrete time crystals
- Prethermalization, shadowing breakdown, and the absence of Trotterization transition in quantum circuits
- Magnon Nesting in Driven Two-Dimensional Quantum Magnets
- Trotter error time scaling separation via commutant decomposition
- Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
- Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
- Extended degenerate perturbation theory for the Floquet-Hilbert space
- Engineering micromotion in Floquet prethermalization via space-time symmetries
- Fock space prethermalization and time-crystalline order on a quantum processor
- Boundary Perturbation Effects in Quantum Systems with Conserved Energy and Continuous Symmetry
- A Heuristic for Matrix Product State Simulation of Out-of-Equilibrium Dynamics of Two-Dimensional Quantum Spin Systems
- Finding periodic orbits in projected quantum many-body dynamics