Prethermalization at Low Temperature: the Scent of Long-Range Order
arXiv:1701.05552 · doi:10.1103/PhysRevLett.119.010601
Abstract
Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times. The paradigmatic example is a quantum quench in an integrable model with weak integrability breaking; for a long time, the state can not escape the constraints imposed by the approximate integrability. We unveil a new mechanism of prethermalization, based on the presence of a symmetry of the pre-quench Hamiltonian, which is spontaneously broken at zero temperature and is explicitly broken by the post-quench Hamiltonian. The typical time scale of the phenomenon is proportional to the thermal correlation length of the initial state, which diverges as the temperature is lowered. We show that the prethermal quasi-stationary state can be approximated by a mixed state that violates cluster decomposition property. We consider two examples: the transverse-field Ising chain, where the full time evolution is computed analytically, and the (non integrable) ANNNI model, which is investigated numerically.
6 pages, 2 figures, accepted for publication in PRL
References in corpus (28)
- Thermalization and its mechanism for generic isolated quantum systems
- Real time evolution using the density matrix renormalization group
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Breakdown of thermalization in finite one-dimensional systems
- The Luttinger model following a sudden interaction switch-on
- Interaction Quench in the Hubbard model
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Dynamical Correlations after a Quantum Quench
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Generalized Gibbs Ensembles for Quantum Field Theories
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Quantum Quench from a Thermal Initial State
- Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
- Thermalization and light cones in a model with weak integrability breaking
- Exactly conserved quasilocal operators for the XXZ spin chain
- Dynamical crossovers in prethermal critical states
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- Pre-relaxation in weakly interacting models
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Prethermalization from a low-density Holstein-Primakoff expansion
- Glass-like Behavior in a System of One Dimensional Fermions after a Quantum Quench
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- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Coherent and dissipative dynamics at quantum phase transitions
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Exact solution for the quench dynamics of a nested integrable system
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Hydrodynamics of nonintegrable systems from a relaxation-time approximation
- Typicality of Prethermalization
- thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
- Diffusive Hydrodynamics of Inhomogenous Hamiltonians
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Dynamical Scaling Laws of Out-of-Time-Ordered Correlators
- Lack of thermalization for integrability-breaking impurities
- Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
- Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
- Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
- Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
- Connected correlations in partitioning protocols: a case study and beyond
- Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
- Quantum jamming brings quantum mechanics to macroscopic scales
- Prethermalization of light and matter in cavity-coupled Rydberg arrays
- Total Energy Dynamics and Asymptotics of the Momentum Distribution Following an Interaction Quench in a Two-component Fermi Gas
- Symmetry-prohibited thermalization after a quantum quench