Eur. Phys. J. Plus (2015) 130: 207
https://doi.org/10.1140/epjp/i2015-15207-1

Regular Article

Dynamics of three-level Λ-type atom interacting with one mode cavity field with both classical gravity and quantum radiation: Lie algebra approach

¹ Mathematics Department, Faculty of Science, Minia University, Minia, Egypt
² Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt
³ Mathematics & Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt

^* e-mail: asalah3020@gmail.com

Received: 22 June 2015
Accepted: 16 September 2015
Published online: 16 October 2015

Abstract

In this paper, a model is introduced to investigate the interaction between a three-level atom and one-mode of the radiation field. The atomic motion and the classical homogenous gravitational field are taken into consideration. For this purpose, we first introduce a set of new atomic operators obeying an su(3) algebraic structure to derive an effective Hamiltonian for the system under consideration. By solving the Schrödinger equation in the interaction picture, the exact solution is given when the atom and the field are initially prepared in excited state and coherent state, respectively. The influences of the gravity parameter on the collapses-revivals phenomena, the atomic momentum diffusion, the Mandel Q-parameter, the normal squeezing phenomena and the coherent properties for the considered system are examined. It is found that the gravity parameter has important effects on the properties of these phenomena.