Atomic transition transfer, field statistics and squeezing of the off-resonant cascade three-level Jaynes-Cummings model with a Kerr medium

Atomic population dynamics and the non-classical properties of the field in the system consisting of a cascade three-level atom interacting non-resonantly with a single-mode field are investigated in the presence of a Kerr medium. The atom and the field are assumed to be in the upper state and the coherent state initially, respectively. It is found that an atomic transition transfer may occur by varying the initial field intensity under the condition of a reasonably large one-photon detuning. Varying the initial field intensity can also control the field statistics. Quasiprobability distribution Q-function of the field state is also calculate to reveal its relation to the field statistics and normal squeezing effect.