Exact dynamics of driven Brownian oscillators

TL;DR

This paper derives an exact quantum master equation for a driven Brownian oscillator, revealing how external fields and dissipation interact to enhance polarization through non-Markovian effects, especially in low-frequency driving regimes.

Contribution

It introduces a Gaussian wave packet approach to derive an exact master equation, highlighting the effective field correction and non-Markovian dynamics in driven dissipative systems.

Findings

Effective field correction enhances polarization.

Non-Markovian effects are significant in low-frequency driving.

Analytical asymptotic expressions support the numerical results.

Abstract

Exact quantum master equation for a driven Brownian oscillator system is constructed via a Wigner phase-space Gaussian wave packet approach. The interplay between external field and dissipation leads to this system an effective field correction that enhances the polarization. This cooperative property is resulted from an effective bath response to the external field applied on the system. It is important in the low-frequency driving and intermediate bath memory region. We demonstrate this non-Markovian effect on the linear response and nonlinear dynamics and analyze the results together with analytical asymptotic expressions.