Pancharatnam Phase of Two Two-Level Atoms Interacting with a Time-Dependent Cavity Field

Authors

Reyad Salah, Department of Mathematics, Faculty of Science, Helwan university, Helwan, Cairo, EgyptFollow
Ramzi Nekhili, College of Administrative Sciences, Applied Science University, East Al-Ekir. P.O. Box 5055, Kingdom of BahrainFollow
S. Shorman, College of Arts and Science, Applied Science University, East Al-Ekir. P.O. Box 5055, Kingdom of BahrainFollow
A.-S. F. Obada, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptFollow

Abstract

The considered system is two independent two-level atoms interacting with a two-mode electromagnetic field (EMF), taking into account the coupling function between atoms and field to be time-dependent. The systems corresponding state function is obtained when the two atoms are initially made in superposition of states and the coherent state of the field is taken. By increasing the value of kerr-like medium parameter $\chi$ and time varying parameter $\varepsilon$ enhances the number of artificial phase jumps and the chaotic behavior period. We discuss the effect of time-variation coupling and kerr-like medium on atomic inversion, Pancharatnam phase, Husimi Q function and correlation function.

Recommended Citation

Salah, Reyad; Nekhili, Ramzi; Shorman, S.; and F. Obada, A.-S. (2019) "Pancharatnam Phase of Two Two-Level Atoms Interacting with a Time-Dependent Cavity Field," Information Sciences Letters: Vol. 8 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol8/iss2/1