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A Class of Non-Classicality and Non-Gaussianity of Photon Added Three-mode GHZ-type Entangled Coherent States

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Abstract

In this paper, We investigate three-mode photon-added Greenberger-Horne-Zeilinger (GHZ) entangled coherent states by repeatedly operating the photon-added operator on the GHZ entangled coherent states. The product of two Laguerre polynomials is demonstrated to be connected to the normalizing constant. The influence of the operation on the non-classical and non-Gaussian behavior of the GHZ entangled coherent states is investigated. Sub-Poissonian statistics, such as Mandel’s parameter and the negativity of the Wigner function, show that non-classical properties can enhance GHZ entangled coherent states. Finally, the occurrence of the anti-bunching phenomena in this class of tripartite excited states is studied using the second-order correlation function.

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Authors and Affiliations

  1. Team of Theoretical Physics, Laboratory L.P.M.C., Department of Physics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco, PO Box 20, 24000, El Jadida, Morocco

    Larbi Jebli & Rachid Houça

  2. Team of Theoretical Physics, Laboratory L.P.T.H.E., Department of Physics, Faculty of Sciences, Ibn Zohr University, PO Box 8106, Agadir, Morocco

    Larbi Jebli & Rachid Houça

  3. Department of Physics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco

    Mohammed Daoud

  4. Abdus Salam International Centre for Theoretical Physics, Miramare, Trieste, Italy

    Mohammed Daoud

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  1. Larbi Jebli
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  2. Rachid Houça
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Correspondence to Larbi Jebli.

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Jebli, L., Houça, R. & Daoud, M. A Class of Non-Classicality and Non-Gaussianity of Photon Added Three-mode GHZ-type Entangled Coherent States. Int J Theor Phys 61, 231 (2022). https://doi.org/10.1007/s10773-022-05221-8

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