Spontaneous emission with a cascaded driving field in the same transition channel

We study the spontaneous emission spectrum of a driven four-level atom in both Markovian reservoir and non-Markovian reservoir, in which the two driving fields are applied to the same transition channel. It is very interesting that the increase of the Rabi frequency of the first driving field leads to the emission spectrum enhancement in Markovian reservoir, but the increase of the second one can suppress the emission spectrum significantly. The phenomenon originates from the dressed states variation induced by the first driving field. For non-Markovian reservoir case, the rich spectrum behavior is due to a strong coupling between driving fields and modified reservoir.