Eur. Phys. J. Plus (2018) 133: 190
https://doi.org/10.1140/epjp/i2018-12023-1

Regular Article

The effect of damping on a quantum system containing a Kerr-like medium

¹ College of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Saudi Arabia
² Faculty of Science, Assiut University, Assiut, Egypt
³ Mathematics Department, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia
⁴ Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884, Cairo, Egypt

^* e-mail: Abdelbastm@yahoo.com

Received: 21 August 2017
Accepted: 18 April 2018
Published online: 18 May 2018

Abstract

An analytical description is given for a model which represents the interaction between and Su(2) quantum systems taking into account -cavity damping and Kerr medium properties. The analytic solution for the master equation of the density matrix is obtained. The examination of the effects of the damping parameter as well as the Kerr-like medium features is performed. The atomic inversion is discussed where the revivals and collapses phenomenon is realized at the considered period of time. Our study is extended to include the degree of entanglement where the system shows partial entanglement in all cases, however, disentanglement is also observed. The death and rebirth is seen in the system provided one selects the suitable values of the parameters. The correlation function of the system shows non-classical as well as classical behavior.