Control of dissipation of energy via reservoirs of coherent states

The low frequency profile of the initial distribution of coherent states of a bosonic environment may control and hinder the dissipation of energy and model the dynamics of a strongly coupled quantum oscillator. The energy of the main oscillator is asymptotically stabilized to its initial value with damped oscillations enveloped in inverse power law decays in addition to pure inverse power law relaxations. Two limiting regimes appear. Arbitrarily slowly damped oscillations around the initial value show oscillating exchange of energy with the environment. For special initial conditions the inverse power law relaxations prevail over long times on the oscillations and the dissipation of energy may be hindered by slowing down arbitrarily the decays.