Prethermal quasiconserved observables in Floquet quantum systems
arXiv:2005.11150 · doi:10.1103/PhysRevB.103.054305
Abstract
Prethermalization, by introducing emergent quasiconserved observables, plays a crucial role in protecting Floquet many-body phases over exponentially long time, while the ultimate fate of such quasiconserved operators can signal thermalization to infinite temperature. To elucidate the properties of prethermal quasiconservation in many-body Floquet systems, here we systematically analyze infinite temperature correlations between observables. We numerically show that the late-time behavior of the autocorrelations unambiguously distinguishes quasiconserved observables from non-conserved ones, allowing to single out a set of linearly-independent quasiconserved observables. By investigating two Floquet spin models, we identify two different mechanism underlying the quasi-conservation law. First, we numerically verify energy quasiconservation when the driving frequency is large, so that the system dynamics is approximately described by a static prethermal Hamiltonian. More interestingly, under moderate driving frequency, another quasiconserved observable can still persist if the Floquet driving contains a large global rotation. We show theoretically how to calculate this conserved observable and provide numerical verification. Having systematically identified all quasiconserved observables, we can finally investigate their behavior in the infinite-time limit and thermodynamic limit, using autocorrelations obtained from both numerical simulation and experiments in solid state nuclear magnetic resonance systems.
arXiv comment12 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1912.05799
References in corpus (66)
- 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
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- The Magnus expansion and some of its applications
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- On the phase structure of driven quantum systems
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Toward the first quantum simulation with quantum speedup
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Many-body localization in periodically driven systems
- Superfluid-insulator transition in a periodically driven optical lattice
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Exponentially slow heating in periodically driven many-body systems
- Fate of many-body localization under periodic driving
- Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- Periodically Driving a Many-Body Localized Quantum System
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Pre-thermal phases of matter protected by time-translation symmetry
- Exploring Localization in Nuclear Spin Chains
- Equilibration and Order in Quantum Floquet Matter
- Floquet Fractional Chern Insulator in Doped Graphene
- Multiterminal Conductance of a Floquet Topological Insulator
- Many-body energy localization transition in periodically driven systems
- Ultrafast and reversible control of the exchange interaction in Mott insulators
- Transport signatures of Floquet Majorana fermions in driven topological superconductors
- Inverse magneto-refraction as a mechanism for laser modification of spin-spin exchange parameters and subsequent terahertz emission from iron oxides
- A theory of many-body localization in periodically driven systems
- Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
- Nonequilibrium Quantum Phase Transitions in the Dicke Model
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Chiral Floquet Phases of Many-body Localized Bosons
- Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
- Enhancement and sign change of magnetic correlations in a driven quantum many-body system
- Quantum localization bounds Trotter errors in digital quantum simulation
- Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
- Observation of Floquet prethermalization in dipolar spin chains
- Ergodic properties of a generic non-integrable quantum many-body system in thermodynamic limit
- Floquet prethermalization in a Bose-Hubbard system
- A Floquet Model for the Many-Body Localization Transition
- Simulations of Information Transport in Spin Chains
- Digital Quantum Simulation, Trotter Errors, and Quantum Chaos of the Kicked Top
- Long-Range Prethermal Phases of Nonequilibrium Matter
- Prethermal Strong Zero Modes and Topological Qubits
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Prethermalization without temperature
- Emergent prethermalization signatures in out-of-time ordered correlations
- Nonequilibrium Quantum Phase Transitions in the Ising Model
- Spin Orbit Coupling in Periodically Driven Optical Lattices
- -pairing superfluid in periodically-driven fermionic Hubbard model with strong attraction
- Experimental characterization of coherent magnetization transport in a one-dimensional spin system
- NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics
- Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
- Novel Trotter formulas for digital quantum simulation
- Quantum criticality of dipolar spin chains
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- Observation of Floquet prethermalization in dipolar spin chains
- Fermi's golden rule for heating in strongly driven Floquet systems
- Experimental Detection of the Correlation Rényi Entropy in the Central Spin Model
- Deep reinforcement learning for quantum Hamiltonian engineering
- Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
- Emergent conservation in Floquet dynamics of integrable non-Hermitian models
- Cascaded dynamics of a periodically driven dissipative dipolar system
- Robust effective ground state in a nonintegrable Floquet quantum circuit
- Sharp detection of the onset of Floquet heating using eigenstate sensitivity
- Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid
- Observation of symmetry-protected selection rules in periodically driven quantum systems
- Floquet thermalization by power-law induced permutation symmetry breaking