Eur. Phys. J. D (2013) 67: 189
https://doi.org/10.1140/epjd/e2013-40079-4

Regular Article

Dynamics of a three level atom interacting with a detuned SU (1,1) quantum system

¹ Mathematics Department, College of Science, King Saud University, P.O. Box 2455, 11451 Riyadh, Saudi Arabia
² Mathematics Department, Faculty of Science, Al-Azhar University Nasr City, 11884 Cairo, Egypt

^a e-mail: m.sebaweh@physics.org

Received: 12 February 2013
Received in final form: 9 May 2013
Published online: 12 September 2013

Abstract

Starting from the interaction between a 3-level atom in the cascade configuration with an SU(1, 1) quantum system, an effective Hamiltonian for a 2-level atom with the presence of a Stark shift structure is obtained under large detuning and adiabatic elimination. The evolution operator for the new system is obtained and expectation values for different dynamical observables are obtained taking the initial state of the SU(1, 1) system to be a Perelomov coherent state and a superposition state for the 2-level atom. Atomic inversion, atomic variable squeezing and degree of entanglement are investigated for various values of the involved parameters. The effect of the Stark shift parameters is displayed in these phenomena.