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

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 ${\omega }_c$.

26 Pages, 18 Figures

References in corpus (8)

• Fundamental Aspects of Quantum Brownian Motion
• Finite quantum dissipation: the challenge of obtaining specific heat
• Entanglement Energetics at Zero Temperature
• Ground State Entanglement Energetics
• The Third Law of Quantum Thermodynamics in the Presence of Anomalous Couplings
• Landau-Drude Diamagnetism: Fluctuation, Dissipation and Decoherence
• The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature
• Charged oscillator in a heat bath in the presence of a magnetic field & third law of thermodynamics

Cited by in corpus (8)

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• Quantum dissipative Brownian motion and the Casimir effect
• Thermodynamic anomaly of the free damped quantum particle: the bath perspective
• Quantum counterpart of energy equipartition theorem for a dissipative charged magneto-oscillator: Effect of dissipation, memory, and magnetic field
• Independent-oscillator model and the quantum Langevin equation for an oscillator: A review
• Partition of kinetic energy and magnetic moment in dissipative diamagnetism
• Partition of free energy for a Brownian quantum oscillator: Effect of dissipation and magnetic field
• Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation