Optical tomography for excited coherent states associated to deformed oscillators

Abstract

In this manuscript, we study the deformed optical tomography for excited coherent states associated to deformed Heisenberg algebra. By using the numerical solution of the recurrence relation, we evaluate the eigenstates of the deformed quadrature operator and give the exact analytical formula of the optical tomogram for the photon-added deformed coherent states (PA-DCSs) and photon-added deformed cat coherent states (PA-DCCSs). Finally, we display the variation of the excited coherent states in the terms of the different physical parameters defined in the coherent states and show how these parameters affect the shape of the optimal tomography.