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

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.

arXiv comment9 Pages, 3 Figures, Accepted in Phys. Rev. E

References in corpus (20)

• Noise and decoherence in quantum two-level systems
• Deterministic single-photon source from a single ion
• Finite quantum dissipation: the challenge of obtaining specific heat
• Specific heat anomalies of open quantum systems
• Mimicking a Squeezed Bath Interaction: Quantum Reservoir Engineering with Atoms
• Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring
• Simulating quantum Brownian motion with single trapped ions
• Raman spectroscopy of a single ion coupled to a high-finesse cavity
• Quantum thermodynamics of systems with anomalous dissipative coupling
• Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics
• Preparation and control of a cavity-field state through atom-driven field interaction: towards long-lived mesoscopic states
• Quantum Langevin equation of a charged oscillator in a magnetic field and coupled to a heat bath through momentum variables
• Driven harmonic oscillator as a quantum simulator for open systems
• Dissipative quantum oscillator with two competing heat baths
• Quantum thermodynamics of a charged magneto-oscillator coupled to a heat bath
• Minimal coupling in oscillator models of quantum dissipation
• Quantum electrodynamic fluctuations of the macroscopic Josephson phase
• Thermodynamic anomalies in the presence of dissipation: from the free particle to the harmonic oscillator
• Reentrant classicality of a damped system
• Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables

Cited by in corpus (1)

• Decoherence and the ultraviolet cutoff: non-Markovian dynamics of a charged particle in a magnetic field