Non-adiabatic Semiclassical Dressed States

We introduce non-adiabatic semiclassical dressed states for a quantum system interacting with an electromagnetic field of variable amplitude and phase, and presence of dumping. We also introduce a generalized adiabatic condition, which allows finding of closed form solution for the dressed states. The influence of the non-adiabatic factors on the dressed states due to the amplitude and phase field variations and dumping has been found.