Generation of a nonlinear two-mode Stark shift through the adiabatic elimination method

Abstract

In this contribution a three-level atom in interaction with a two-mode quantized electromagnetic field, initially prepared in an entangled two-mode coherent state is considered. Through the elimination of an intermediate level by using the adiabatic elimination method a nonlinear Stark shift is introduced. Exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects through the effective two-level atom interacting with the mode through multiphotons with the Stark shift are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing. It has been shown that the system is sensitive to any change in the parameter representing the Stark shift. General conclusions reached are illustrated by numerical results.