Photon added coherent states for nonharmonic oscillators in a nonlinear Kerr medium

Abstract

In this paper, we construct the photon-added anharmonic oscillators coherent states (PA-AOCSs) using generalized Heisenberg algebras. Klauders minimal set of conditions required to obtain the coherent states are satisfied. The statistical properties of these states are investigated through the Mandel's parameter in terms of the variables involved in the states. It is shown that these coherent states are useful for describing the states of real and ideal lasers in terms of different parameters. These features make these states good candidatures for implementation of schemes in different tasks of quantum optics and information.