Dynamics of a Tri-Beam Laser Interacting
with a Three-Level Atom¹

D. Abo-Kahla^a and M. Abdel-Aty^{b, c,} *

^a Department of Mathematics, Faculty of Education, Ain Shams University, Egypt

^b Department of Mathematics, Faculty of Science, Sohag University, Egypt

^c Scientific Publishing Center, University of Bahrain, 32038 Bahrain

*e-mail: amisaty@gmail.com

Received June 25, 2012; in final form July 18, 2012

Abstract—We investigate the dynamics of a tri-beam laser interacting with a closed three-level atomic system.
The Bloch equations are obtained using Hesinberg’s equation of motion. The impact of the resulting parameters
on the atomic occupation probabilities and information entropy is discussed. It is shown that the populations
are affected by the detuning in different ways which are then compared in order to simulate realizations entan-
glement through the information entropy.

DOI: 10.1134/S1054660X12120018

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