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Generalized Trio Coherent States

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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.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884, Cairo, Egypt

    A. S.-F. Obada & E. M. Khalil

  2. Physics Department, Faculty of Science (girls), Al-Azhar University, Nasr City, Cairo, Egypt

    H. H. Salah

  3. Faculty of Education, Suez Canal University at Al-Arish, Egypt

    M. A. Darwish

Authors
  1. A. S.-F. Obada
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  2. H. H. Salah
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  3. M. A. Darwish
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  4. E. M. Khalil
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Correspondence to E. M. Khalil.

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Obada, A.SF., Salah, H.H., Darwish, M.A. et al. Generalized Trio Coherent States. Int J Theor Phys 44, 1347–1364 (2005). https://doi.org/10.1007/s10773-005-4770-2

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  • DOI: https://doi.org/10.1007/s10773-005-4770-2

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