Master equation for structured reservoirs

In this work we generalize the formalism developed in our previous work [D. Mogilevtsev, S. Kilin, S.B. Cavalcanti, PNFA (2-3) (2004) 161]. We derive a master equation suitable to describe atom-field interaction in structured reservoirs, particulary those that exhibit 'freezing' of spontaneous decay as well as atom-field bound states. For a wide range of reservoir densities-of-states, this equation can be reduced to the Markovian form. In this work we extend the range of applicability of the method to times comparable to those of the atom-field bound state formation. We discuss novel features that such an extension brings forth and confirm predictions made in our previous work, namely, the stationary positive atomic inversion, a possibility of in-reservoir coherent control of the atom-field bound state and bipartite character of such a state in the absence of external perturbations.