Some Statistical Properties for a Non-Linear Tavis Cummings Model

Authors

A. S. -F. Obada, Mathematics Department, Faculty of Science, Al-Azhar University, Nassr City 11884, EgyptFollow
M. M. A. Ahmed, Mathematics Department, Faculty of Science, Al-Azhar University, Nassr City 11884, EgyptFollow
H. F. Habeba, Mathematics Department, Faculty of Science, Menofia University, Shebin Elkom 32511, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

A non-linear Tavis Cummings model is studied, especially, two two-level atoms interacting with two modes of radiation field with Stark shift effect. The time-dependent wave function and consequently the density matrix are obtained from which we discussed the effect of Stark shift on different statistical aspects for the present system, for example, atomic inversion, entanglement, variance squeezing and degree of coherence. It is observed that the Stark shift parameter plays an important role on the evolution of these aspects. When Stark shift parameter moves away from 1, the atomic inversion is shifted upwards, entanglement decreases and more squeezing occur.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110117

Recommended Citation

S. -F. Obada, A.; M. A. Ahmed, M.; and F. Habeba, H. (2017) "Some Statistical Properties for a Non-Linear Tavis Cummings Model," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 17.
DOI: http://dx.doi.org/10.18576/amis/110117
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/17