Collapse-revival phenomenon for different configurations of a three-level atom interacting with a field via multi-photon process and nonlinearities

General formalisms of a three-level atom interacting with quantized fields under the mechanism of the multi-photon transition are investigated. The wave function is calculated in the context of the framework of the dressed states. The collapse-revival phenomenon dependence on the photon number is discussed. The influences of detuning, Kerr-like, coupling constants and various forms of the intensity-dependent coupling functional are analyzed. General conclusions reached are illustrated through numerical results