Slow Dynamics and Thermodynamics of Open Quantum Systems

Abstract

We develop a perturbation theory to estimate the finite time corrections around a quasi static trajectory, in which a quantum system is able to equilibrate at each instant with its environment. The results are then applied to non equilibrium thermodynamics, in which context we are able to provide a connection between the irreversible contributions and the microscopic details of the dynamical map generating the evolution. Turning the attention to finite time Carnot engines, we found a universal connection between the spectral density esponent of the hot/cold thermal baths and the efficiency at maximum power, giving also a new interpretation to already known results such as the Curzon-Ahborn and the Schmiedl-Seifert efficiencies.

Keywords

• finite time thermodynamics
• out of equilibirum quantum systems
• irreversible processes
• quantum thermodynamics
• quantum control
• low dissipation theory
• carnot Engines