Some statistical properties for a spin-(1/2) particle coupled to two spirals |
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Authors: | M. Sebawe Abdalla M.M.A. Ahmed |
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Affiliation: | 1. Mathematics Department, College of Science, King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia;2. Department of Mathematics, faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt;3. Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia;1. College of Sciences, China University of Mining and Technology, Xuzhou 221116, China;2. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;1. Mathematics Department, Science Faculty, King Abdulaziz University, Jeddah, Saudi Arabia;2. Mathematics Department, Science Faculty, Sohag University, Sohag 82524, Egypt;1. School of Physics & Electronics Science, Fuyang Normal College, Fuyang, 236037, People’s Republic of China;2. School of Physics & Material Science, Anhui University, Hefei, 230039, People’s Republic of China;1. Institut de Chimie Séparative de Marcoule, UMR 5257 CEA/CNRS/ENSCM/Université Montpellier 2, BP 17171, F-30207 Bagnols-sur-Cèze, France;2. Laboratoire de Synthèse et Fonctionnalisation des Céramiques, UMR 3080 Saint Gobain/CNRS, F-84306 Cavaillon, France;1. Centre for Astroparticle Physics and Space Science (CAPSS), Bose Institute, Block EN, Sector V, Salt Lake, Kolkata 700 091, India;2. S.N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700 098, India;1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt;2. Math. Dept., College of Science, University of Bahrain, Bahrain;3. Department of Mathematics, Aswan University Aswan, Sahari 81528, Egypt |
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Abstract: | In this paper we consider the problem of the interaction between two SU(2) quantum systems namely: two-level atom and multi-level atoms. The evolution operator is obtained and used to calculate the time-dependent dynamical operators. It has shown that the atomic inversion is sensitive to the change in the detuning parameter ?, the quantum numbers jk as well as the atomic angles. The atomic squeezing is also considered and the phenomenon of squeezing is observed in both quadrature variances, however, with a periodic exchange between the quadratures. The degree of entanglement is examined by employing von Neumann entropy. It has shown that an increase in the value of the detuning parameter leads to a decrease in the degree of entanglement. However, for a weak coupling parameter the system shows reduction in the entropy. In the meantime the maximum entanglement can be reached when we increase the value for the quantum numbers jk. Also it has shown that the atomic angles play a role for controlling the degree of entanglement. |
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