Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation

TL;DR

This paper investigates how environment, confinement, and magnetic field influence the low-temperature thermodynamics of a charged oscillator with momentum-based dissipation, providing explicit quantum thermodynamic functions and control mechanisms.

Contribution

It introduces a detailed analysis of quantum thermodynamics with momentum dissipation, highlighting control of low-temperature behavior via magnetic field, confinement, and dissipation parameters.

Findings

Power law decay of thermodynamic functions conforms to the third law.

Decay sensitivity depends on the spectral density function.

Momentum dissipation affects effective mass and thermodynamic behavior.

Abstract

In this work, we expose the role of environment, confinement and external magnetic field ($B$) in determining the low temperature thermodynamic behaviour in the context of cyclotron motion of a charged oscillator with anomalous dissipative coupling involving the momentum instead of the much studied coordinate coupling. Explicit expressions for different quantum thermodynamic functions (QTF) are obtained at low temperatures for different quantum heat bath characterized by spectral density function, $\mu(\omega)$. The power law fall of different QTF are in conformity with third law of thermodynamics. But, the sensitiveness of decay i.e. the power of the power law decay explicitly depends on $\mu(\omega)$. We also separately discuss the influence of confinement and magnetic field on the low temperature behavior of different QTF. In this process we demonstrate how to control low temperature behaviour of anomalous dissipative quantum systems by varying confining length $a$, $B$ and the temperature $T$. Momentum dissipation reduces effective mass of the system and we also discuss its effect on different QTF at low temperatures.