New Aspects on Non-Linear Time-Dependent Atom-Field Interactions

We investigate some new features of different nonlinear time-dependent models. We consider the time-dependent interaction between an atom (or more) and cavity field for one-mode and two-mode cavity fields. The idea of using the explicit time-dependence on the atom-field couplings but for extended models are presented. The models describe one- and two-photon process and include detuning parameters nonlinear Kerr-medium Stark-shift and intensity-dependent coupling. Numerical investigations are used to test the quantum entanglement geometric phase atomic population inversion phase properties and some statistical properties.