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Effect of Stark shift on nonlocal correlation of two atoms in a cavity containing a parametric amplifier and a Kerr like medium

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Abstract

An analytical solution is obtained for a system consisting of two atoms interacting with a nondegenerate parametric amplifier of a cavity field containing a Kerr like medium in the presence of Stark shift terms. The nonlinearity of the interaction leads to the generation of different nonlocal correlations (NLCs) beyond entanglement concurrence, which are measured by uncertainty-induced quantum nonlocality and maximal Bell’s function. It is found that the generation of the NLCs, due to the atom-cavity unitary interaction, can be controlled by the nonlinearity of the Kerr like medium and the Stark shift. The Kerr like medium and the Stark shift lead to reduce the regularity and the amount of the generated nonlocal correlations. The reduction in the generated nonlocal correlations, due to the Kerr like medium, is increased by the increase in the Stark shift parameter and vice versa.

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Acknowledgements

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No. 2020/01/11801. The authors are very grateful to the referees and the editor for their constructive remarks, which have helped to improve the manuscript. Taif University Researchers Supporting Project number (TURSP-2020/17), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj, Saudi Arabia

    A.-B. A. Mohamed

  2. Faculty of Science, Assiut University, Assiut, Egypt

    A.-B. A. Mohamed

  3. Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    E. M. Khalil

  4. Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

    E. M. Khalil

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  1. A.-B. A. Mohamed
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  2. E. M. Khalil
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Correspondence to A.-B. A. Mohamed.

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Mohamed, AB.A., Khalil, E.M. Effect of Stark shift on nonlocal correlation of two atoms in a cavity containing a parametric amplifier and a Kerr like medium. Eur. Phys. J. Plus 135, 793 (2020). https://doi.org/10.1140/epjp/s13360-020-00801-1

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00801-1

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