Quantum Brownian Motion of a charged oscillator in a magnetic field coupled to a heat bath through momentum variables

TL;DR

This paper investigates the quantum Brownian motion of a charged oscillator in a magnetic field coupled via momentum variables, highlighting unique features in displacement growth and correlation functions at different temperatures.

Contribution

It introduces a novel analysis of a charged quantum oscillator coupled through momentum variables, revealing distinctive dynamical features compared to traditional position-coupled models.

Findings

Displacement growth differs from position-coupled cases.

Long-time tails of correlation functions show unique behavior.

Zero point fluctuations dominate at low temperatures.

Abstract

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the mean square displacement of the particle in the classical high temperature domain and in the quantum low temperature domain dominated by zero point fluctuations. We also analyse the Position Response Function and the long time tails of various correlation functions. We notice some distinctive features, different from the usual case of a charged quantum Brownian particle in a magnetic field and linearly coupled to an Ohmic bath via position variables.