Nonequilibrium Dynamics of Coupled Quantum Systems

Abstract

The nonequilibrium dynamics of coupled quantum oscillators subject to different time dependent quenches are analyzed in the context of the Liouville-von Neumann approach. We consider models of quantum oscillators in interaction that are exactly soluble in the cases of both sudden and smooth quenches. The time evolution of number densities and the final equilibration distribution for the problem of a quantum oscillator coupled to an infinity set of other oscillators (a bath) are explicitly worked out.

49 pages, 3 figures, with corrections (sec. 4) to the published version

References in corpus (4)

• Affinity for Scalar Fields to Dissipate
• Equilibration Time Scales in Homogeneous Bose-Einstein Condensate Dynamics
• A Grand Canonical Ensemble Approach to the Thermodynamic Properties of the Nucleon in the Quark-Gluon Coupling Model
• Multiple-Scale Analysis and Renormalization of Quenched Second Order Phase Transitions

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