Some statistical properties for a moving three-level atom in interaction with a bimodal cavity field

Abstract

In this paper we consider the problem of the interaction between a three-level atom and a quantized bimodal cavity field. The coupling parameter between the atom and the field is taken to be time-dependent by taking the atomic motion into consideration. In the absence of the detuning parameter Δ as well as the Kerr-like medium χ the analytic solution of the wave function is obtained. In our examination of the atomic population the phenomenon of collapses and revivals is observed, however, after a considerable period of time. It is also shown that under the effect of the acceleration parameter δ0 the state of the system loses purity and becomes partially mixed. In the examination of the geometric phase we have observed the regularity behavior when the velocity parameter δ1 takes place, while, in the presence of the Kerr-like medium δ1, the system shows irregular behavior.