Quantum Statistical Aspects of Interactions Between the Radiation Field and Two Entangled Two-Level Atoms in the Presence of Stark Shift Terms
- Authors: Hilal E.M.1,2, Khalil E.M.3,4
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Affiliations:
- Department of Mathematics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University
- Department of Mathematics, Faculty of Science, University of Jeddah
- Mathematics Department, Faculty of Science, Taif University
- Mathematics Department, Faculty of Science, Al-Azhar University
- Issue: Vol 39, No 3 (2018)
- Pages: 207-215
- Section: Article
- URL: https://ogarev-online.ru/1071-2836/article/view/248391
- DOI: https://doi.org/10.1007/s10946-018-9710-8
- ID: 248391
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Abstract
We consider a system consisting of two two-level atoms interacting with a radiation field, including Stark shift terms, and investigate the effect of Stark shift terms on the interaction between the radiation field and the two atoms. Within the framework of the Heisenberg picture, we obtain the general solution to the operator equations of motion. In addition, we derive the general solution obtained by solving the system of differential equations. Some statistical aspects such as atomic inversion and linear entropy are discussed in detail. We study the effect of the time-dependent function on the population inversion and linear entropy. Finally, we examine the linear entropy, concurrence, and quantum and classical correlations for different values of the detuning parameter.
About the authors
Eman M. A. Hilal
Department of Mathematics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University; Department of Mathematics, Faculty of Science, University of Jeddah
Email: eiedkhalil@yahoo.com
Saudi Arabia, Jeddah; Jeddah
Eied M. Khalil
Mathematics Department, Faculty of Science, Taif University; Mathematics Department, Faculty of Science, Al-Azhar University
Author for correspondence.
Email: eiedkhalil@yahoo.com
Saudi Arabia, Taif City, 888; Naser City, Cairo, 11884
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