Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model

Abstract

We study the dynamics of a classical disordered macroscopic model completely isolated from the environment reproducing, in a classical setting, the "quantum quench" protocol. We show that, depending on the pre and post quench parameters the system approaches equilibrium, succeeding to act as a bath on itself, or remains out of equilibrium, in two different ways. In one of the latter, the system stays confined in a metastable state in which it undergoes stationary dynamics characterised by a single temperature. In the other, the system ages and its dynamics are characterised by two temperatures associated to observations made at short and long time differences (high and low frequencies). The parameter dependence of the asymptotic states is rationalised in terms of a dynamic phase diagram with one equilibrium and two out of equilibrium phases. Aspects of pre-thermalisation are observed and discussed. Similarities and differences with the dynamics of the dissipative model are also explained.

36 pages, 14 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Many body localization and thermalization in quantum statistical mechanics
• Dynamical phase transition in correlated fermionic lattice systems
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Clustering of non-ergodic eigenstates in quantum spin glasses
• The world of long-range interactions: A bird's eye view
• Growing correlations and aging of an elastic line in a random potential
• Probing non-thermal density fluctuations in the one-dimensional Bose gas

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• The quantum $p$-spin glass model: A user manual for holographers
• Generalised Gibbs Ensemble for spherically constrained harmonic models