Nonequilibrium dynamics of coupled quantum systems

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, the final equilibration temperature and equilibration time for the problem of a quantum oscillator coupled to an infinity set of other oscillators (a bath) are explicitly worked out.