Email this article Entanglement of the su(1; 1) Quantum System Interacting with a Single Two-Level Atom in the Presence of Damping Terms
- Authors: Alkhateeb S.1, Khalil E.M.2,3
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Affiliations:
- Department of Mathematics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University
- Mathematics Department, Faculty of Science, Taif University
- Mathematics Department, Faculty of Science, Al-Azher University
- Issue: Vol 39, No 1 (2018)
- Pages: 20-27
- Section: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/248308
- DOI: https://doi.org/10.1007/s10946-018-9685-5
- ID: 248308
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Abstract
We consider the effect of damping on a quantum system described by the su(1; 1) Lie algebra and interacting with a two-level atom. We obtain the numerical solution of the associated differential equations and discuss in detail some statistical aspects, atomic population inversion, squeezing phenomena, and negativity. In addition, we analyze the effect of the decay parameter on the population inversion and purity. Finally, we examine entropy squeezing and the degree of entanglement for some values of the damping and detuning parameters.
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About the authors
Sadah Alkhateeb
Department of Mathematics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University
Author for correspondence.
Email: eiedkhalil@yahoo.com
Saudi Arabia, Jeddah
E. M. Khalil
Mathematics Department, Faculty of Science, Taif University; Mathematics Department, Faculty of Science, Al-Azher University
Email: eiedkhalil@yahoo.com
Saudi Arabia, Taif City, 888; Nasr City, Cairo, 11884
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