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Nonlocality Dynamics Induced By A Lamb–Dicke Nonlinearity In Two Dipole-Coupled Trapped Ions Under Intrinsic Decoherence

Author

Listed:
  • ABDEL-HALEEM ABDEL-ATY

    (Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha 61922, Saudi Arabia2Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt)

  • A.-B. A. MOHAMED

    (Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi Arabia4Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt)

  • H. ELEUCH

    (Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates6Department of Applied Sciences and Mathematics, Abu Dhabi University, Abu Dhabi, United Arab Emirates7Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA)

Abstract

In this paper, we explore the nonlinear dynamics of two dipole-coupled-trapped ions in the Lamb–Dicke regime. The dynamics of the generated two-trapped-ions correlations under intrinsic decoherence is quantified by Bell function, the uncertainty-induced nonlocality, and the concurrence. We investigate the effects of the Lamb–Dicke nonlinearity, the intrinsic decoherence, and the two-trapped-ions coupling. It is found that the two-trapped-ions state has different nonlocal correlations. These correlations can be controlled. In the absence of decoherence, the nonlocal correlations can be enhanced by the Lamb–Dicke nonlinearity and the two-trapped-ions coupling. The stable value and the sudden death-birth phenomenon of the entanglement can be apperceived due to the increase of the Lamb–Dicke nonlinearity. The intrinsic decoherence reduces and stabilizes the nonlocal correlations. They are more pronounced with large Lamb–Dicke values. The decoherence effects are reduced by the strong Lamb–Dicke nonlinearity.

Suggested Citation

  • Abdel-Haleem Abdel-Aty & A.-B. A. Mohamed & H. Eleuch, 2022. "Nonlocality Dynamics Induced By A Lamb–Dicke Nonlinearity In Two Dipole-Coupled Trapped Ions Under Intrinsic Decoherence," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-10, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x2240045x
    DOI: 10.1142/S0218348X2240045X
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