Non-classical properties and polarization degree of photon-added entangled nonlinear coherent states

Photon-added states are introduced by applying creation operators of the two modes on the two-mode entangled nonlinear coherent states. These nonlinear coherent states are assumed to be harmonious. Then, non-classical properties of these states are examined by studying photon number distribution, Mandel parameter and second-order coherence function. Entanglement and quantum polarization of these states are also studied. We observe that all the states show sub-Poissonian statistics in some ranges of the parameters involved. In addition, the maximally entangled states show anti-bunching effect too. The dependence of the quantum polarization on the number of added photons and coherent amplitude is also evaluated.