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Nonclassical Properties of Squeezed Finite-Dimensional Pair Coherent State

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Abstract

We study the effect of the squeeze operator on the finite pair-coherent state. The state is a type of a correlated two-mode state in finite dimension based on the resonant ion-cavity interaction. We have discussed some statistical properties for such state, especially the quadrature variances as well as the second-order correlation function. Furthermore we have also considered the variance in the photon number sum and difference in addition to the linear correlation function. It is shown that the strong correlation occurs for a large value of the photon number difference. Our discussion is extended to include the quasiprobability distribution functions (W-Wigner and Q-functions). In the meantime we have considered the quadrature distribution function and phase distribution. It has been shown that the squeezed finite pair coherent state is sensitive to the variation in the state parameter, ξ and the squeeze parameter, r, as well as the q parameter which in fact plays a crucial role of controlling the behavior of the system.

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Authors and Affiliations

  1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    M. Sebawe Abdalla

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

    A. S.-F. Obada

  3. Department of Physics, Makkah University College, Umm Al-Qura University, Makkah, Saudi Arabia

    M. Darwish

Authors
  1. M. Sebawe Abdalla
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  2. A. S.-F. Obada
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  3. M. Darwish
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Correspondence to M. Sebawe Abdalla.

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Sebawe Abdalla, M., Obada, A.SF. & Darwish, M. Nonclassical Properties of Squeezed Finite-Dimensional Pair Coherent State. Int J Theor Phys 50, 181–199 (2011). https://doi.org/10.1007/s10773-010-0507-y

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  • DOI: https://doi.org/10.1007/s10773-010-0507-y

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