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
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.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013