Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
  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. 
Massimiliano Esposito and Maicol A. Ochoa and Michael Galperin
cond-mat.stat-mech