Non-equilibrium quantum thermodynamics is a quite new fields in physics that surprisingly left less explored in the last century. Recently this field is getting investigated under active experimental and theoretical research.
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.
New submission: http://arxiv.org/abs/1408.3910
Rényi entropy flows from quantum heat engines
Mohammad H. Ansari, Yuli V. Nazarov