Two-level atom in a strong field and/or a tailored reservoir

We present a generalized master equation, in an operator form, for a two-le vel atom driven by a strong classical field and damped into a "tailored" re servoir with non-flat density of modes. The master equation is derived unde r the Born and Markov approximations. To derive the master equation the dre ssing transformation on the atomic operators is performed first and next th e dressed operators are coupled to the reservoir and the corresponding damp ing rates are calculated. The modifications introduced by a strong field an d/or by the reservoir with non-flat density of modes lead to non-standard t erms in the master equation, some of which are reminiscent of terms known f or squeezed vacuum reservoirs.