Numerical Investigation of the Geometric Phase and Entropy Squeezing for a Two-Level System in the Presence of Decoherence Terms ()

Moustafa M. Salama, Ahmed O. Elnubi, Sayed Abdel-Khalek, Mohamed A. El-Sayed

1Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba; 2Informatics Research Institute, City of Scientific Research and Technology Applications, Alexandria, Egypt.

1Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba;2Facluty of Pure and Applied Science, International University of Africa, Khartoum, Sudan..

Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba.

**DOI: **10.4236/jemaa.2013.59057
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1Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba; 2Informatics Research Institute, City of Scientific Research and Technology Applications, Alexandria, Egypt.

1Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba;2Facluty of Pure and Applied Science, International University of Africa, Khartoum, Sudan..

Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Araba.

In this paper, we have presented the numerical investigation of the geometric phase and field entropy squeezing for a two-level system interacting with coherent field under decoherence effect during the time evolution. The effects of the initial state setting and atomic dissipation damping parameter on the evolution of the geometric phase and entropy squeezing have been examined. We have reported some new results related to the periodicity and regularity of geometric phase and entropy squeezing.

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M. Salama, A. Elnubi, S. Abdel-Khalek and M. El-Sayed, "Numerical Investigation of the Geometric Phase and Entropy Squeezing for a Two-Level System in the Presence of Decoherence Terms," *Journal of Electromagnetic Analysis and Applications*, Vol. 5 No. 9, 2013, pp. 359-365. doi: 10.4236/jemaa.2013.59057.

Conflicts of Interest

The authors declare no conflicts of interest.

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