On the decay of an “isolated” oscillator nonlinearly coupled to a damped oscillator

Mechanisms of pumping and decay of an “isolated” oscillator which can nonlinearly interact with a neighboring oscillator having a different frequency have been discussed. It has been shown that, if this neighboring oscillator is coupled to a broadband thermostat field, the isolated oscillator begins to interact with this thermostat field. As a result, a new relaxation channel appears because of the quantum interference of interacting systems, which can hardly be explained within traditional approaches.