  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.
