Thermodynamics of quantum Brownian motion with internal degrees of freedom: the role of entanglement in the strong-coupling quantum regime

Abstract

We study the influence of entanglement on the relation between the statistical entropy of an open quantum system and the heat exchanged with a low temperature environment. A model of quantum Brownian motion of the Caldeira-Leggett type - for which a violation of the Clausius inequality has been stated by Th.M. Nieuwenhuizen and A.E. Allahverdyan [Phys. Rev. E 66, 036102 (2002)] - is reexamined and the results of the cited work are put into perspective. In order to address the problem from an information theoretical viewpoint a model of two coupled Brownian oscillators is formulated that can also be viewed as a continuum version of a two-qubit system. The influence of an additional internal coupling parameter on heat and entropy changes is described and the findings are compared to the case of a single Brownian particle.

arXiv comment10 pages, 11 figures

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Cited by in corpus (22)

• Perspective: Quantum Thermodynamics
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Implications of non-Markovian dynamics for the Landauer bound
• Thermodynamics of a subensemble of a canonical ensemble
• Validity of Landauer's principle in the quantum regime
• System-bath entanglement in nanothermodynamics
• Environment-induced two-mode entanglement in quantum Brownian motion
• Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
• Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
• Heisenberg-Langevin vs. quantum master equation
• Quantum Mechanical Heat Transport in Disordered Harmonic Chains
• Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
• Equilibrium and transient thermodynamics: A unified dissipaton-space approach
• Coherence and entanglement of mechanical oscillators mediated by coupling to different baths
• Distance and Coupling Dependence of Entanglement in the Presence of a Quantum Field
• Landauer Principle and Thermodynamics of Computation
• Quantum-classical correspondence in entanglement production: Entropy and classical tori
• Theoretical formulations on thermodynamics of quantum impurity systems
• Quantum corrections to the entropy in a driven quantum Brownian motion model
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Non-equilibrium dynamics in the quantum Brownian oscillator and the second law of thermodynamics
• Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira