Relaxation and pumping of quantum oscillator nonresonantly coupled with the other oscillator

TL;DR

This paper investigates how a quantum oscillator, non-resonantly coupled to another oscillator interacting with a thermal bath, can experience energy pumping and decay through indirect interactions, analyzed via a kinetic equation.

Contribution

It introduces a novel mechanism for energy exchange in coupled quantum oscillators with non-resonant interactions, considering the influence of an environment indirectly.

Findings

The isolated oscillator can be pumped or decay energy due to non-resonant coupling.

Energy exchange occurs through the environment of the coupled oscillator, not directly.

Kinetic equations derived from the Hamiltonian explain these mechanisms.

Abstract

The paper shows mechanisms of both the pumping and energy decay of an "isolated" oscillator. The oscillator is only non-resonantly coupled with the adjacent oscillator which resonantly interacts with the thermal bath environment. Under these conditions the "isolated" oscillator begins interacting with the thermal bath environment of the adjacent oscillator. The conclusion is based on the kinetic equation derived relative to anti-rotating terms of the initial Hamiltonian, with the latter being the Hamiltonian of two oscillators and environment of one of them.