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Four-level atom; classical homogeneous gravitational field; atomic inversion; Mandel Q-parameters; purity; concurrence

In this paper, we investigate the effects of gravitational field on the dynamical behaviour of nonlinear atom–field interaction. We consider a moving tripod-type four-level atom interacting with a single mode field in the presence of a classical homogeneous gravitational field. The analytical solution of the model is calculated by using the Schr\"odinger equation for a coherent electromagnetic field and when the atom is in its excited state. The influence of the detuning parameter and the classical homogeneous gravitational field on the temporal behaviour of atomic inversion, Mandel Q-parameters, purity of the atomic system and concurrence is studied. Our proposal has many advantages over the previous optical schemes and can be realised in several multiple experiments, such as quantum gravity. The results show that the gravity parameter has an important effect on the properties of these phenomena. Finally, conclusions and some features and comments are given.

AHMED SALAH¹ L E THABET² T M EL-SHAHAT³ N H ABD EL-WAHAB⁴

1. Department of Mathematics and Theoretical Physics, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt
2. Department of Business Administration, Community College Khaybar, Taibah University, Madina, Kingdom of Saudi Arabia
3. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
4. Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt

Published

9 October 2020

Manuscript received

19 December 2019

Manuscript revised

22 June 2020

Accepted

6 July 2020

Final version published online

9 October 2020