On the relation between cavity-dressed states, Floquet states, RWA and semiclassical models
S. Guérin, Francesca Monti, J.-C. Dupont, H. R. Jauslin · Journal of Physics A Mathematical and General · 1997
We show that Floquet states can be constructed as strong-field limits of cavity-dressed states. The interaction between laser beams propagating outside the cavity with atoms or molecules are described by Floquet states, constructed from dressed states of average photon number quantized in a cavity of volume V, by taking the limit , , while keeping the photon density constant. Thus, Floquet theory can be seen as a fully quantum-mechanical model in the sense that it describes the photon exchanges between matter and radiation containing a large amount of photons. We discuss in this context adiabatic Floquet theory to treat a slow time dependence of the laser amplitude, to describe pulses, and of its frequency (chirping).