Field-induced dynamics in the quantum Brownian oscillator: An exact treatment

TL;DR

This paper provides an exact analytical solution for the dynamics of a quantum Brownian oscillator under external fields, capturing non-equilibrium behavior at any temperature and field strength.

Contribution

It derives a closed-form reduced density operator for a quantum oscillator coupled to a bath, under arbitrary external fields and non-equilibrium conditions.

Findings

Exact reduced density operator derived

Applicable to arbitrary temperature and external field

Enables precise analysis of non-equilibrium quantum dynamics

Abstract

We consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the coupled oscillator in a non-equilibrium state at an arbitrary time.