Non-Markovian dynamics of mixed fermionic-bosonic systems: Full coupling

Employing the quadratic fermionic and bosonic Hamiltonians for the collective and internal subsystems with a linear full coupling, we studied the role of heat-bath statistics on the dynamics of the collective motion. The master-equations for the collective occupation number derived directly within Non-Markovian Langevin approach are discussed and their solutions are obtained. As shown in the numerical calculations, the path to equilibrium or the relaxation time is affected by the heat-bath statistics and to the coupling type.