Clausius inequality versus quantum coherence

Abstract

In this study, we model a harmonic oscillator that enters an interferometer partially coupled to a thermal bath of oscillatory fields by employing a Brownian-type Lindblad master equation. More specifically, we investigate the dynamics and the variations of the thermodynamic quantities of the system at different temperatures. We recognize that although the system can remain coherent during its interaction with the thermal bath in the low-temperature limit, the system's entropy production violates the Clausius inequality. Furthermore, we argue that the system's coherence is the source of this violation, rather than the entanglement degree of system-environment, as reported in previous studies.

References in corpus (50)

• Thermalization and its mechanism for generic isolated quantum systems
• Quantifying Coherence
• Quantum Coherence as a Resource
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Operational Resource Theory of Coherence
• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Quantum Thermodynamic Cycles and quantum heat engines
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Concepts and methods in the theory of open quantum systems
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Maximal work extraction from quantum systems
• Quantum mechanical evolution towards thermal equilibrium
• Quantum heat engines and refrigerators: Continuous devices
• Entropy production as correlation between system and reservoir
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• The thermodynamic meaning of negative entropy
• Intrinsic randomness as a measure of quantum coherence
• Second law and Landauer principle far from equilibrium
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• (Quantumness in the context of) Resource Theories
• Markovian master equations for quantum thermal machines: local vs global approach
• The Quantum Absorption Refrigerator
• The physics of forgetting: Landauer's erasure principle and information theory
• Quantum equilibration in finite time
• Thermalization in Nature and on a Quantum Computer
• Extraction of work from a single thermal bath in the quantum regime
• Fluctuation theorems for quantum master equations
• Thermodynamics of quantum systems under dynamical control
• Quantum thermodynamics of general quantum processes
• Thermodynamics of discrete quantum processes
• The Wigner Entropy Production Rate
• Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
• Quantum measurement and the first law of thermodynamics: the energy cost of measurement is the work value of the acquired information
• Thermodynamic entropy of a many body energy eigenstate
• Driven Spin Systems as Quantum Thermodynamic Machines: Fundamental Limits
• Autonomous Rotor Heat Engine
• Local effective dynamics of quantum systems: A generalized approach to work and heat
• Realising a quantum absorption refrigerator with an atom-cavity system
• Most energetic passive states
• Second laws under control restrictions
• Quantum Discord and its Role in Quantum Information Theory
• Gravitational lensing of massive particles in Schwarzschild gravity
• System-bath entanglement in nanothermodynamics
• Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
• Misbelief and misunderstandings on the non--Markovian dynamics of a damped harmonic oscillator
• Coherence and entanglement of mechanical oscillators mediated by coupling to different baths
• Quantum thermodynamics for a model of an expanding universe

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• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling