Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach

Abstract

We establish the foundations of a nonequilibrium theory of quantum thermodynamics for noninteracting open quantum systems strongly coupled to their reservoirs within the framework of the nonequilibrium Green functions (NEGF). The energy of the system and its coupling to the reservoirs are controlled by a slow external time-dependent force treated to first order beyond the quasistatic limit. We derive the four basic laws of thermodynamics and characterize reversible transformations. Stochastic thermodynamics is recovered in the weak coupling limit.

4 pages, 3 figures, Supplementary Material, v2: published version

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• Single ion heat engine with maximum efficiency at maximum power
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• Minimal universal quantum heat machine
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• Stochastic thermodynamics of rapidly driven systems
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Hybrid quantum-classical modeling of quantum dot devices
• Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs
• Heat currents in electronic junctions driven by telegraph noise
• Entropy and information flow in quantum systems strongly coupled to baths
• Local entropy of a nonequilibrium fermion system
• Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Lower bounds for the mean dissipated heat in an open quantum system
• Illusory cracks in the second law of thermodynamics in quantum nanoelectronics
• On the energetic analysis of autonomous quantum systems