Asymptotic equilibrium in quantum system fully coupled simultaneously to mixed fermionic–bosonic heat baths

Abstract

The full coupling of a quantum system to a heat bath usually induces its evolution towards an asymptotic equilibrium imposed by the complexity of the heat bath. We show here that such equilibrium might never be reached when the system is coupled simultaneously to bosonic and fermionic heat baths unless different thermal reservoirs are related with each others. Conditions under which an asymptotic equilibrium can be reached are discussed.