Quantum thermodynamics of a charged magneto-oscillator coupled to a heat bath

TL;DR

This paper provides explicit quantum thermodynamic functions for a charged magneto-oscillator coupled to a heat bath, highlighting the significant influence of magnetic fields, dissipation, and temperature regimes on thermodynamic behavior.

Contribution

It offers new explicit formulas for quantum thermodynamic functions at arbitrary temperatures for different heat bath models, emphasizing the role of magnetic fields and dissipation.

Findings

Magnetic field effects are significant at both low and high temperatures.

Dissipation parameter and cyclotron frequency influence thermodynamic functions oppositely at low temperatures.

At high temperatures, dissipation effects dominate over magnetic field effects.

Abstract

Explicit results for various quantum thermodynamic function (QTF) of a charged magneto-oscillator coupled to a heat bath at arbitrary temperature are demonstrated in this paper. Discernible expressions for different QTF in the two limits of very low and very high temperatures are presented for three popular heat bath models : Ohmic, single relaxation time and blackbody radiation. The central result is that the effect of magnetic field turns out to be important at low temperatures yet crucial at high temperatures. It is observed that the dissipation parameter, $\gamma$, and the cyclotron frequency, $\omega_c$, affect the decaying or rising behaviour of various QTF in just the opposite way to each other at low temperatures. In the high temperature regime, the effect of $\gamma$ is much pronounced than that of $\omega_c$.