Non-equilibrium quantum thermodynamics is a quite new fields in physics that surprisingly left less explored in the last century. Recently this field is becoming active both experimentally and theoretically.
For the first time we present a consistent derivation of the flows of Shannon and Renyi entropies for a generic quantum heat engine to a probe environment kept in thermal equilibrium. The flows consist of heat flow and fictitious dissipation originating from quantum coherence.
Rényi entropy flows from quantum heat engines
Mohammad H. Ansari, Yuli V. Nazarov