Non-adiabaticity and irreversible entropy production in the quantum regime

Finite-time thermodynamic transformations typically lead to the generation of energetic coherence in the out-of-equilibrium state of a quantum system; indeed, it is possible to identify a contribution to the irreversible entropy production that is due to coherence generation. On the other hand, coherence is connected also to the non-adiabaticity of a processes, for which it gives the dominant contribution for slow-enough transformations. With the help of fluctuation theorems, we will provide a full characterization of the irreversible entropy generated because of deviation from adiabaticity (i.e., diabatic transition), and because of coherence production.