Adaiabtic theorems and reversible isothermal processes

Abstract

Isothermal processes of a finitely extended, driven quantum system in contact with an infinite heat bath are studied from the point of view of quantum statistical mechanics. Notions like heat flux, work and entropy are defined for trajectories of states close to, but distinct from states of joint thermal equilibrium. A theorem characterizing reversible isothermal processes as quasi-static processes (''isothermal theorem'') is described. Corollaries concerning the changes of entropy and free energy in reversible isothermal processes and on the 0th law of thermodynamics are outlined.

References in corpus (4)

• Entropy production in quantum spin systems
• Dissipative Transport: Thermal Contacts and Tunnelling Junctions
• Another Return of 'Return to Equilibrium'
• Positive Commutators in Non-Equilibrium Statistical Mechanics

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• The adiabatic theorem and linear response theory for extended quantum systems
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• Landauer's Principle in Repeated Interaction Systems
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• Adiabatic theorem for closed quantum systems initialized at finite temperature
• Adiabatic Lindbladian Evolution with Small Dissipators
• Status of the Fundamental Laws of Thermodynamics
• Cyclic thermodynamic processes and entropy production
• Level shift operators for open quantum systems
• Adiabatic theorems for quantum resonances
• Full statistics of erasure processes: Isothermal adiabatic theory and a statistical Landauer principle
• A Geometric Approach to the Landauer-Büttiker Formula