Eur. Phys. J. Plus (2013) 128: 26
https://doi.org/10.1140/epjp/i2013-13026-0

Regular Article

Some statistical properties for a moving three-level atom in interaction with a bimodal cavity field

¹³¹⁷ Mathematics Department, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia
²³¹⁷ Mathematics Department, Faculty of Science, Al-Azher University, Nassr City, 11884, Cairo, Egypt
³³¹⁷ Mathematics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

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

Received: 26 November 2011
Revised: 11 February 2013
Accepted: 12 February 2013
Published online: 5 March 2013

Abstract

In this paper we consider the problem of the interaction between a three-level atom and a quantized bimodal cavity field. The coupling parameter between the atom and the field is taken to be time-dependent by taking the atomic motion into consideration. In the absence of the detuning parameter Δ as well as the Kerr-like medium χ the analytic solution of the wave function is obtained. In our examination of the atomic population the phenomenon of collapses and revivals is observed, however, after a considerable period of time. It is also shown that under the effect of the acceleration parameter δ₀ the state of the system loses purity and becomes partially mixed. In the examination of the geometric phase we have observed the regularity behavior when the velocity parameter δ₁ takes place, while, in the presence of the Kerr-like medium δ₁, the system shows irregular behavior.