Dissipative quantum oscillator with two competing heat baths

TL;DR

This paper investigates a quantum harmonic oscillator coupled to two heat baths, revealing that their competing effects can partially cancel, leading to unexpected phenomena like underdamped oscillations and prolonged relaxation times.

Contribution

It introduces a model with dual heat baths affecting position and momentum, showing partial dissipation frustration and contrasting it with single-bath scenarios.

Findings

Partial cancellation of dissipation effects due to two baths

Emergence of underdamped oscillations in strong coupling

Long relaxation times and quantum purity dynamics analyzed

Abstract

We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet. We find that some effects of the two heat baths partially cancel each other. This leads to unexpected features such as underdamped oscillations and long relaxation times in the strong coupling regime. Such a partial frustration of dissipation can be ascribed to the canonically conjugate character of position and momentum. We compare this model to the scenario where a single heat bath couples linearly to both the position and the momentum of the central oscillator. In that case less surprising behavior occurs for strong coupling. The dynamical evolution of the quantum purity for a single and a double wave packet is also investigated.