Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system

Abstract

We study the regimes of heating in the periodically driven $O(N)$-model, which represents a generic model for interacting quantum many-body systems. By computing the absorbed energy with a non-equilibrium Keldysh Green's function approach, we establish three dynamical regimes: at short times a single-particle dominated regime, at intermediate times a stable Floquet prethermal regime in which the system ceases to absorb, and at parametrically late times a thermalizing regime. Our simulations suggest that in the thermalizing regime the absorbed energy grows algebraically in time with an the exponent that approaches the universal value of $1/2$, and is thus significantly slower than linear Joule heating. Our results demonstrate the parametric stability of prethermal states in a generic many-body system driven at frequencies that are comparable to its microscopic scales. This paves the way for realizing exotic quantum phases, such as time crystals or interacting topological phases, in the prethermal regime of interacting Floquet systems.

arXiv comment4+4 pages, 3+3 figures

References in corpus (45)

• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Discrete time crystals: rigidity, criticality, and realizations
• Equilibrium states of generic quantum systems subject to periodic driving
• Quantum Field Theory in the Large N Limit: a review
• Exponentially slow heating in periodically driven many-body systems
• Fate of many-body localization under periodic driving
• 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
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Classification of Interacting Topological Floquet Phases in One Dimension
• Analytic and Numerical Study of Preheating Dynamics
• Classification of topological phases in periodically driven interacting systems
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• A theory of many-body localization in periodically driven systems
• Parametric resonance in quantum field theory
• Nonequilibrium Dynamics of Symmetry Breaking in Lambda Phi^4 Field Theory
• Dynamical Cooper pairing in non-equilibrium electron-phonon systems
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Quantum quench in interacting field theory: a self-consistent approximation
• Dynamical transitions and quantum quenches in mean-field models
• Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
• Abelian Floquet symmetry-protected topological phases in one dimension
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Stroboscopic prethermalization in weakly interacting periodically driven systems
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Interaction stabilized steady states in the driven O(N) model
• Anomalous diffusion in nonlinear oscillators with multiplicative noise
• How periodic driving heats a disordered quantum spin chain
• Distinctive response of many-body localized systems to strong electric field
• Regimes of heating and dynamical response in driven many-body localized systems
• Effects of parametric noise on a nonlinear oscillator

Cited by in corpus (124)

• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Nonthermal pathways to ultrafast control in quantum materials
• Equilibration and Order in Quantum Floquet Matter
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Long-Range Prethermal Phases of Nonequilibrium Matter
• 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
• Floquet dynamics in driven Fermi-Hubbard systems
• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Classical Prethermal Phases of Matter
• Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Random multipolar driving: tunably slow heating through spectral engineering
• Quantum to classical crossover of Floquet engineering in correlated quantum systems
• Dynamical synchronization transition in interacting electron systems
• Dynamical Quantum Phase Transitions in Systems with Continuous Symmetry Breaking
• Quantum and classical Floquet prethermalization
• Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
• Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation
• A flow equation approach to periodically driven quantum systems
• Resonant thermalization of periodically driven strongly correlated electrons
• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Universal fluctuations of Floquet topological invariants at low frequencies
• Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime
• Periodically Driven Sachdev-Ye-Kitaev Models
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Prethermal quantum many-body Kapitza phases of periodically driven spin systems
• Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Floquet prethermalization in the resonantly driven Hubbard model
• Emergent hydrodynamics in non-equilibrium quantum systems
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Interaction-driven breakdown of dynamical localization in a kicked quantum gas
• Time-induced second-order topological superconductors
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Three-dimensional localized-delocalized Anderson transition in the time domain
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Floquet engineering of twisted double bilayer graphene
• Fermi's golden rule for heating in strongly driven Floquet systems
• A self-consistent Hartree-Fock approach to Many-Body Localization
• Localization and transport in a strongly driven Anderson insulator
• Anderson localization of a Rydberg electron along a classical orbit
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Floquet engineering of Kitaev quantum magnets
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Stability and pre-thermalization in chains of classical kicked rotors
• 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
• Inverse Faraday effect in Mott insulators
• Transient Floquet engineering of superconductivity
• Quantum Critical Scaling under Periodic Driving
• Many-body dynamical localization in the kicked Bose-Hubbard chain
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Photo-induced nonequilibrium states in Mott insulators
• Absence of heating in a uniform Fermi gas created by periodic driving
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Oscillating scalar dissipating in a medium
• Suppression of heating by long-range interactions in periodically driven spin chains
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Analytical Solution for the Steady States of the Driven Hubbard model
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Probing non-equilibrium topological order on a quantum processor
• Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Many-body parametric resonances in the driven sine-Gordon model
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Floquet Heating in Interacting Atomic Gases with an Oscillating Force
• Dynamics of fluctuation correlation in periodically driven classical system
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• Geometric Floquet theory
• Gravitational wave driving of a gapped holographic system
• Resonances in a periodically driven bosonic system
• Unitary Subharmonic Response and Floquet Majorana Modes
• Correlated nonequilibrium steady states without energy flux
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Universal long-time behavior of stochastically driven interacting quantum systems
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
• Cascaded dynamics of a periodically driven dissipative dipolar system
• General Markovian Equation for Scalar Fields in a Slowly Evolving Background
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Sensing with discrete time crystals
• Floquet Engineering of Multifold Fermions
• Sharp detection of the onset of Floquet heating using eigenstate sensitivity
• Dynamic renormalization group theory for open Floquet systems
• Floquet analysis of a superradiant many-qutrit refrigerator
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Floquet Flux Attachment in Cold Atomic Systems
• A metronome spin stabilizes time-crystalline dynamics
• The Future of the Correlated Electron Problem
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Steady-states and response functions of the periodically driven O(N) scalar field theory
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Controlling magnetic correlations in a driven Hubbard system far from half-filling
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Nonperturbative decay of bipartite discrete time crystals
• Investigating Stark many-body localization with continuous unitary transformation flows
• Trotter error time scaling separation via commutant decomposition
• Low-frequency and Moiré Floquet engineering: a review
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• The role of atomic interactions in cavity-induced continuous time crystals
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Light induced transitions of valley Chern numbers and flat bands in a non-twisted moire graphene-hexagonal boron nitride superlattice
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
• Statistical Floquet prethermalization of the Bose-Hubbard model