Nonequilibrium Dynamics of Coupled Quantum Systems

TL;DR

This paper investigates the nonequilibrium behavior of coupled quantum oscillators under various quenches, providing exact solutions for their dynamics and equilibration processes using the Liouville-von Neumann framework.

Contribution

It offers exact analytical solutions for the dynamics of coupled quantum oscillators during sudden and smooth quenches, including a system coupled to a bath.

Findings

Explicit time evolution of number densities

Final equilibration distributions derived

Exact solutions for different quench protocols

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.