Abstract
An effective Hamiltonian for the two-level model is derived from the microscopic Hamiltonian of a three-level atom in a Ξ configuration, interacting through two-photon transitions with a lightfield. The effective Hamiltonian includes a term describing the optical Stark shift. With this effective Hamiltonian, we study the steady-state equation and the squeezing spectrum from a cavity field mode interacting with an ensemble of three level “Ξ configuration” atoms by a two-photon transition. It is shown that the inclusion of optical Stark shift brings about changes in drift and diffusion coefficients as well as additional nonzero correlations between the stochastic forces. As a result, although qualitative features remain unaltered, quantitative changes both in the transmission characteristics and the squeezing spectrum are significant.
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