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International Journal of Theoretical Physics

, Volume 55, Issue 6, pp 2722–2734 | Cite as

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

  • M. Sebawe Abdalla
  • M. M. A. Ahmed
  • R. N. Rabea
Article

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.

Keywords

Atomic inversion Variance and entropy squeezing Degree of entanglement 

Notes

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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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • M. Sebawe Abdalla
    • 1
  • M. M. A. Ahmed
    • 2
  • R. N. Rabea
    • 2
  1. 1.Mathematics Department, College of ScienceKing Saud UniversityRiyadhSaudi Arabia
  2. 2.Mathematics Department, Faculty of ScienceAl-Azher UniversityCairoEgypt

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