The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 13 1 2019 11 26 Superposition of nonlinear coherent states on a sphere Superposition of nonlinear coherent states on a sphere 65 75 1016 FA T Hosseinzadeh A Mahdifar E Amooghorban 0000-0003-4035-0366 Journal Article 2019 11 26  In this paper, by using the nonlinear coherent states on a sphere, we introduce superposition of the aforementioned coherent states. Then, we consider quantum optical properties of these new superposed states and compare these properties with the corresponding properties of the nonlinear coherent states on the sphere. Specifically, we investigate their characteristics function, photon-number distribution, Mandel parameter, quadrature squeezing, anti-bunching effect and Wigner function, and obtain the curvature effect on the properties of the superposed states. Finally, by using the trapped atom system, we introduce a theoretical scheme to generate superposition of the coherent states on the sphere.  In this paper, by using the nonlinear coherent states on a sphere, we introduce superposition of the aforementioned coherent states. Then, we consider quantum optical properties of these new superposed states and compare these properties with the corresponding properties of the nonlinear coherent states on the sphere. Specifically, we investigate their characteristics function, photon-number distribution, Mandel parameter, quadrature squeezing, anti-bunching effect and Wigner function, and obtain the curvature effect on the properties of the superposed states. Finally, by using the trapped atom system, we introduce a theoretical scheme to generate superposition of the coherent states on the sphere. https://ijpr.iut.ac.ir/article_1016_08fe2621d8e716b02ec0da35256a998d.pdf