Thermodynamic processes of Quantum heat transport in atomic systems

Several computational and analytical methods investigate time-dependent heat transport in nanostructures. Computational calculations consist of a considerable challenge, rendering the perturbative approach an attractive alternative. We study heat transport and quantum thermodynamics by phonons, using the equation of motion with Green's functions in phase space. We analyze heat flowing between out-of-equilibrium reservoirs in a driven system by time-dependent contacts in transient and permanent regimes. We obtain the heat current between reservoirs through Dyson series time-dependent perturbation. Additionally, we analyze the thermal efficiencies of different configurations to model atomic-scale quantum heat engines or refrigerators.