Quench Dynamics in a Model with Tuneable Integrability Breaking

Abstract

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax to a prethermalized regime, which can be described by a density matrix that can be viewed as a deformation of a generalized Gibbs ensemble. We present explicit expressions for the approximately conserved charges characterizing this ensemble. We do not find evidence for a crossover from the prethermalized to a thermalized regime on the time scales accessible to us. Increasing the integrability-breaking interactions leads to a behaviour that is compatible with eventual thermalization.

22 pages, 35 figures, minor updates to manuscript

References in corpus (20)

• Thermalization and its mechanism for generic isolated quantum systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• 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
• Generalized Thermalization in an Integrable Lattice System
• Strongly correlated fermions after a quantum quench
• Quantum quench dynamics of the Luttinger model
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Dynamical Correlations after a Quantum Quench
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Mean values of local operators in highly excited Bethe states
• Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory
• Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
• Matrix-valued Boltzmann Equation for the Hubbard Chain
• Many-body localization and thermalization in the full probability distribution function of observables

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