Emission spectrum for a cascade-type three-level atom driven by optical field in photon added coherent state of PHO

Abstract

A treatment of the interaction of a multi-photon cascade-type three-level atom in a cavity with a single-mode field initially in the photon added coherent states (PA-CSs) of pseudo-harmonic oscillator (PHO) is presented in this paper. The wavefunction corresponding to the system under consideration and the emission spectrum (ES) are obtained. It is shown that the properties of the ES are affected by the PA-CS of PHO parameters. The influence of the number of added photons to the CS of PHO on the dynamical behavior of the ES is investigated. The results showed that the behavior of the ES is strongly changed according to the CS of PHO parameters and its number of added photons. Symmetric peaks are generated around the vertical axis with increasing influence of some values of the initial field state parameters.