Prethermalization in periodically-driven nonreciprocal many-body spin systems
arXiv:2208.09005 · doi:10.1103/PhysRevResearch.5.043008
Abstract
We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the dynamics of the system cannot be derived from any time-dependent Hamiltonian. In the high-frequency limit, we find that the magnetization dynamics features a long-lived metastable plateau, whose duration is controlled by the fourth power of the drive frequency. However, due to the lack of an effective Hamiltonian, the prethermal state the system evolves into cannot be understood within the framework of the canonical ensemble. We propose a Hamiltonian extension of the system using auxiliary degrees of freedom, in which the original spins constitute an open yet nondissipative subsystem. This allows us to perturbatively derive effective equations of motion that manifestly display symplecticity breaking at leading order in the inverse frequency. We thus extend the notion of prethermal dynamics, observed in the high-frequency limit of periodically-driven systems, to nonreciprocal systems.
arXiv comment5 + 11 pages
References in corpus (66)
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- 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
- Atomic quantum gases in periodically driven optical lattices
- Quantum many-body scars
- Floquet Engineering of Quantum Materials
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Discrete time crystals: rigidity, criticality, and realizations
- Non-reciprocal phase transitions
- Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
- Equilibrium states of generic quantum systems subject to periodic driving
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Exponentially slow heating in periodically driven many-body systems
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
- Realization of an anomalous Floquet topological system with ultracold atoms
- Equilibration and Order in Quantum Floquet Matter
- Observation of a prethermal discrete time crystal
- Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
- Non-Reciprocal gain in non-Hermitian time-Floquet Systems
- Observation of many-body scarring in a Bose--Hubbard quantum simulator
- Floquet symmetry-protected topological phases in cold atomic systems
- Active phase separation by turning toward regions of higher density
- Quantum localization bounds Trotter errors in digital quantum simulation
- Observation of Floquet prethermalization in dipolar spin chains
- Heating and many-body resonances in a periodically driven two-band system
- Floquet prethermalization in a Bose-Hubbard system
- Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
- Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
- Classical Prethermal Phases of Matter
- Asymmetric exchange in flocks
- Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
- Random multipolar driving: tunably slow heating through spectral engineering
- Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
- Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
- Floquet prethermalization in periodically driven classical spin systems
- Floquet Phases of Matter via Classical Prethermalization
- Observation of a critical prethermal discrete time crystal created by two-frequency driving
- From localization to anomalous diffusion in the dynamics of coupled kicked rotors
- Is there a Floquet Lindbladian?
- Orthogonal Quantum Many-body Scars
- Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
- Floquet engineering topological many-body localized systems
- Canonical local algorithms for spin systems: Heat Bath and Hasting's methods
- Characterizations of prethermal states in periodically driven many-body systems with unbounded chaotic diffusion
- Bounds on Energy Absorption and Prethermalization in Quantum Systems with Long-Range Interactions
- Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
- Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
- Towards a Floquet-Network Theory of Non-Reciprocal Transport
- Many-Body Localization with Quasiperiodic Driving
- Arresting classical many-body chaos by kinetic constraints
- Bridging the gap between classical and quantum many-body information dynamics
- Symplectic integrators for classical spin systems
- Topological spin torque emerging in classical-spin systems with different time scales
- A power-law universality class out of stochastic driving in interacting systems
- Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
- Dynamics of fluctuation correlation in periodically driven classical system
- From prethermalization to chaos in periodically driven coupled rotors
- Quasi-localization dynamics in a Fibonacci quantum rotor