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A Study of a Nonlinear Interaction Between a Two-Mode Cavity Field and a Three-Level Atom in Different Configurations with Damping
A. S.-F. Obada, M. M. A. Ahmed, M. Abu-Shady and H. F. Habeba

We discuss the dynamical evolution of a system of a three-level atom in the three different configurations (Ξ, ∨ and ∧ ) interacting nonlinearity with a two-mode electro-magnetic field, in the presence of Kerr-like medium and photon assisted atomic phase damping included. The explicit mathematical form for the wave function is obtained and consequently, the density matrix is derived. The effects of detuning parameters, Kerr-like medium and photon assisted atomic phase damping are discussed on atomic levels occupation and entanglement. The results show that the entanglement depends crucially on the detuning parameter, atomic phase damping and Kerr-like medium.

Keywords: Three-level atom; Phase damping; Entanglement.