Floquet prethermalization in periodically driven classical spin systems
arXiv:1804.02165 · doi:10.1103/PhysRevB.98.104303
Abstract
It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the classical limit of the quantum spin dynamics. The Floquet prethermal state is well described by the Gibbs ensemble with respect to the static effective Hamiltonian obtained by a truncation of the Floquet-Magnus expansion. On the other hand, the same effective Hamiltonian does not reproduce the local dynamics for an exponentially long time. This is due to the chaoticity of classical dynamics, and in stark contrast to quantum spin systems, in which the effective Hamiltonian well reproduces the exact quantum dynamics up to an exponentially long time.
14 pages, 3 figures; Updated to remove a fundamental flaw
References in corpus (11)
- Topological characterization of periodically-driven quantum systems
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Equilibrium states of generic quantum systems subject to periodic driving
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Periodically driven ergodic and many-body localized quantum systems
- Coherent control of dressed matter waves
- Exploring dynamic localization with a Bose-Einstein condensate
- Coherent destruction of tunneling, dynamic localization and the Landau-Zener formula
- Laser-irradiated Kondo insulators : Controlling Kondo effect and topological phases
- Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
Cited by in corpus (43)
- Colloquium: Quantum and Classical Discrete Time Crystals
- Classical Discrete Time Crystals
- Floquet States in Open Quantum Systems
- Long-Range Prethermal Phases of Nonequilibrium Matter
- Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
- Classical Prethermal Phases of Matter
- Quantum and classical Floquet prethermalization
- Floquet Phases of Matter via Classical Prethermalization
- Analytic approaches to periodically driven closed quantum systems: Methods and Applications
- Bounds in Nonequilibrium Quantum Dynamics
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Characterizations of prethermal states in periodically driven many-body systems with unbounded chaotic diffusion
- Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
- Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
- Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
- Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing
- Relaxation and hysteresis near Shapiro resonances in a driven spinor condensate
- Bridging the gap between classical and quantum many-body information dynamics
- Heating Rates under Fast Periodic Driving beyond Linear Response
- Fractionalized Prethermalization in a Driven Quantum Spin Liquid
- Dynamics of fluctuation correlation in periodically driven classical system
- Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
- Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
- Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
- Absolutely stable time crystals at finite temperature
- Prethermalization in aperiodically driven classical spin systems
- From prethermalization to chaos in periodically driven coupled rotors
- Prethermalization and wave condensation in a nonlinear disordered Floquet system
- Arresting Quantum Chaos Dynamically in Transmon Arrays
- The missing quantum number of the Floquet states
- Stability, Isolated Chaos, and Superdiffusion in Nonequilibrium Many-Body Interacting Systems
- Prethermalization in periodically-driven nonreciprocal many-body spin systems
- Floquet-engineered Emergent Massive Nambu-Goldstone Modes
- Engineering Hierarchical Symmetries
- Energy diffusion and prethermalization in chaotic billiards under rapid periodic driving
- Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
- Statistical prethermalization in randomly kicked many-body classical rotor system
- Stable time rondeau crystals in dissipative many-body systems
- Superfluidity vs prethermalisation in a nonlinear Floquet system
- Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
- Engineering micromotion in Floquet prethermalization via space-time symmetries
- Statistical Floquet prethermalization of the Bose-Hubbard model
- Fractionalized Prethermalization in the One-Dimensional Hubbard Model