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

TL;DR

This paper explores how photon addition affects the non-classical and non-Gaussian properties of three-mode GHZ-type entangled coherent states, revealing enhanced quantum features and anti-bunching phenomena.

Contribution

It introduces a novel analysis of photon-added GHZ entangled coherent states, linking Laguerre polynomials to normalization and examining their quantum statistical properties.

Findings

Photon addition enhances non-classicality and non-Gaussianity.

Sub-Poissonian statistics and Wigner function negativity increase.

Anti-bunching phenomena are observed in tripartite states.

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.