A class of non-classicality and non-Gaussianity of photon added three-mode GHZ-type entangled coherent states

• URL: http://arxiv.org/abs/2209.02561v1
• Date: Tue, 6 Sep 2022 15:12:27 GMT
• Title: A class of non-classicality and non-Gaussianity of photon added three-mode GHZ-type entangled coherent states
• Authors: Larbi Jebli and Rachid Hou\c{c}a and Mohammed Daoud
• Abstract summary: We investigate three-mode photon-added Greenberger-Horne-Zeilinger (GHZ) entangled coherent states by repeatedly operating the photon-added operator on the GHZ coherent states. The influence of the entangled coherent states on the non-classical and non-Gaussian behavior of the GHZ parameter is investigated.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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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