Dynamics of N-configuration four-level atom interacting with one-mode cavity field

In this paper, a model is presented to investigate the interaction between a four-level atom and a single mode of the radiation field. The relative phase, the detuning and the Kerr-like medium are taken into consideration. The exact solution is given when the atom is initially prepared in superposition coherent state. The influences of the relative phase, and the Kerr-like medium on the collapses-revivals, the field entropy and the amplitude-squared squeezing phenomena for the considered system are examined. It is found that these parameters have important effects on the properties of these phenomena.