Jarzynski Relations for Quantum Systems and Some Applications

Abstract

We derive quantum analogues of Jarzynski's relations, and discuss two applications, namely, a derivation of the law of entropy increase for general compound systems, and a preliminary analysis of heat transfer between two quantum systems at different temperatures. We believe that the derivation of the law of entropy increase is new and of importance.

11 pages. A remark is added at the end of Section 2.2

References in corpus (7)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• The Physics and Mathematics of the Second Law of Thermodynamics
• The Fluctuation Theorem as a Gibbs Property
• A Quantum Fluctuation Theorem
• Microscopic analysis of Clausius-Duhem processes
• Statistical mechanical derivation of the second law of thermodynamics

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• Role of Mutual Information in Entropy Production under Information Exchanges
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• Fluctuation Relation for Quantum Heat Engines and Refrigerators
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• Work and Quantum Phase Transitions: Is there Quantum Latency?
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• An operational approach to quantum stochastic thermodynamics
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• Finite Bath Fluctuation Theorem
• Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
• Monitoring quantum Otto engines
• Initial-State Dependence of Thermodynamic Dissipation for any Quantum Process
• Coherent fluctuation relations: from the abstract to the concrete
• Quantum Fluctuation Relations for Ensembles of Wave Functions
• Transient quantum fluctuation theorems and generalized measurements
• Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
• Quantum Hertz entropy increase in a quenched spin chain
• Optimal processes for probabilistic work extraction beyond the second law
• Quantum fluctuation theorem: Can we go from micro to meso?
• Quantum work distribution for a driven diatomic molecule
• Quantum thermodynamics for a model of an expanding universe
• Fluctuation relations and strong inequalities for thermally isolated systems
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• Jarzynski-type equalities in gambling: role of information in capital growth
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• Exchange fluctuation theorems for strongly interacting quantum pumps
• Non-Equilibrium Thermodynamics and Stochasticity, A Phenomenological Look on Jarzynki's Equality
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• Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
• The Duality in Quantum Work
• The distribution of work performed on a NIS junction
• The EPR Paradox Implies A Minimum Achievable Temperature
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• One-shot information-theoretical approaches to fluctuation theorems
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• Hawking Radiation and Entropic Gravity
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• Non-destructively probing the thermodynamics of quantum systems with qumodes
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• Detecting the work statistics through Ramsey-like interferometry