Renyi entropy flows from quantum heat engines

We evaluate Renyi entropy flows from generic quantum heat engines (QHE) to a weakly-coupled probe environment kept in thermal equilibrium. We show the flows are determined by two quantities: heat flow and fictitious dissipation that manifest the quantum coherence in the engine. This pertains also the common Shanon entropy flow. The results appeal for revision of the concept of entropy flows in quantum non-equilibrium thermodynamics.