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Generalized Trio Coherent States
Authors:A?S-F?Obada  H?H?Salah  M?A?Darwish  Email author" target="_blank">E?M?KhalilEmail author
Institution:(1) Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884, Cairo, Egypt;(2) Physics Department, Faculty of Science (girls), Al-Azhar University, Nasr City, Cairo, Egypt;(3) Faculty of Education, Suez Canal University at Al-Arish, Egypt
Abstract:Generalized trio coherent states are made by superposing a number of trio coherent states. They possess inherent nonclassical properties such as sub-Poissonian distribution and violation of Cauchy-Schwarz inequalities. Their phase distribution in the framework of the Pegg and Barnett theory is discussed. We study the interaction of the radiation field prepared in a generalized trio coherent state with an atom in a superposition coherent state in the rotating wave approximation. We investigate the time dependence of the sub-Poissonian distribution and the violation of Cauchy-Schwarz inequalities for such a system. General conclusions reached are illustrated by numerical results.
Keywords:trio coherent  sub-Poissonian  Cauchy-Schwarz inequalitie  phase distribution
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