Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
arXiv:2307.04466 · doi:10.1103/PhysRevA.109.032208
Abstract
The presence of long-lived oscillations in the expectation values of local observables after quantum quenches has recently attracted considerable attention in relation to weak ergodicity breaking. Here we focus on an alternative mechanism that gives rise to such oscillations in a class of systems that support kinematically protected gapped excitations at zero temperature. An open question in this context is whether such oscillations will ultimately decay. We resolve this issue by considering spin models that can be mapped to systems of weakly interacting fermions, which in turn are amenable to an analysis by standard methods based on the BBGKY hierarchy. We find that there is a time scale beyond which the oscillations start to decay, which grows as the strength of the quench is made small.
arXiv comment14 pages, 13 Figures
References in corpus (69)
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The ITensor Software Library for Tensor Network Calculations
- Quantum many-body scars
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Equilibrium states of generic quantum systems subject to periodic driving
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Strong and weak thermalization of infinite non-integrable quantum systems
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Real time confinement following a quantum quench to a non-integrable model
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Prethermalization and thermalization in models with weak integrability breaking
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Spin nematic correlations in bilinear-biquadratic S=1 spin chains
- Spin nematics in the bilinear-biquadratic S=1 spin chain
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Form factors in finite volume II:disconnected terms and finite temperature correlators
- Quantum quench in interacting field theory: a self-consistent approximation
- The entanglement membrane in chaotic many-body systems
- Signatures of rare states and thermalization in a theory with confinement
- Crossover from adiabatic to sudden interaction quenches in the Hubbard model: Prethermalization and nonequilibrium dynamics
- Real-time evolution for weak interaction quenches in quantum systems
- Quasilocalized dynamics from confinement of quantum excitations
- Thermalization and light cones in a model with weak integrability breaking
- Finite-temperature lineshapes in gapped quantum spin chains
- Hamiltonian truncation approach to quenches in the Ising field theory
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Form factor expansion for thermal correlators
- Entanglement Oscillations near a Quantum Critical Point
- Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
- On the theory of quantum quenches in near-critical systems
- Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
- How order melts after quantum quenches
- Prethermalization in one-dimensional quantum many-body systems with confinement
- Quantum quenches with integrable pre-quench dynamics
- Quench dynamics of the Ising field theory in a magnetic field
- Finite Temperature Dynamical Structure Factor of Alternating Heisenberg Chains
- Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
- Dynamical manifestation of Gibbs paradox after a quantum quench
- Evolution of Inhomogeneous Condensates: Self-consistent Variational Approach
- Entanglement dynamics in confining spin chains
- Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
- Dynamical hadron formation in long-range interacting quantum spin chains
- Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Few-particle quantum dynamics---comparing Nonequilibrium Green's functions with the generalized Kadanoff-Baym ansatz to density operator theory
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Interface dynamics in the two-dimensional quantum Ising model
- Persistent oscillations after quantum quenches in dimensions
- Divergent nonlinear response from quasiparticle interactions
- A simple theory for quantum quenches in the ANNNI model
- Persistent oscillations after quantum quenches: The inhomogeneous case
- Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated Quantum Systems from the Projection Operator Technique
- Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
- Temporal relaxation of gapped many-body quantum systems
- Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
- Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions
- Non-equilibration, synchronization, and time crystals in isotropic Heisenberg models
Cited by in corpus (8)
- Theory of metastable states in many-body quantum systems
- Long-lived oscillations of metastable states in neutral atom systems
- Pattern formation in charge density wave states after a quantum quench
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
- Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
- On unitary time evolution out of equilibrium
- Dynamical Geometry of the Haldane Model under a Quantum Quench