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Nonclassical Properties for Two Coupled N-Two-Level Atom and a Single Two-Level Atom Under an External Magnetic Field

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Abstract

We study the interaction between a single two-level atom and N two-level atoms under the effect of a uniform magnetic field. The exact solution is obtained and the expectation value of the time-dependent quantum operators calculated using the Block state (the generalized coherent state). We discuss numerically the atomic inversion where the phenomenon of collapse and revival is observed. The change in the value of the atomic angle plays a role in variance squeezing, where it is pronounced for 𝜃 = π/3. Entropy squeezing is discussed and occurred in the first quadrature. The degree of entanglement through linear entropy is examined where the system shows partial entanglement and at a certain value of parameters displays nearly maximum entanglement.

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Acknowledgments

M.S.Abdalla extends his appreciation to the Deanship of Scientific Research at KSU for funding the work through the research group project No.PRG/1436/22.

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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-Azher University, Nassr City 11884, Cairo, Egypt

    M. M. A. Ahmed & R. N. Rabea

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  1. M. Sebawe Abdalla
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  2. M. M. A. Ahmed
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  3. R. N. Rabea
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Correspondence to M. Sebawe Abdalla.

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Abdalla, M.S., A. Ahmed, M.M. & Rabea, R.N. Nonclassical Properties for Two Coupled N-Two-Level Atom and a Single Two-Level Atom Under an External Magnetic Field. Int J Theor Phys 55, 2722–2734 (2016). https://doi.org/10.1007/s10773-015-2905-7

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  • DOI: https://doi.org/10.1007/s10773-015-2905-7

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