Nonclassicality of Quasi-Dual of Gazeau—Klauder Coherent States of Morse Potential: Their Excited, Symmetric and Anti-Symmetric Superpositions

Abstract

In this paper, the truncated “coherent state” associated with a particular form of Morse potential as a finite-dimensional quantum system, which will be called by us as quasi-dual of Gazeau—Klauder coherent states, is constructed. Then, the “excited coherent states”, in addition to even and odd superposed states associated with the mentioned coherent states are introduced. The resolution of identity, as the most important property for any class of coherent states, is established for coherent states as well as their excited coherent states. Various nonclassical properties like sub-Poissonian statistics, antibunching effect, normal and amplitude-squared squeezing are examined numerically. Finally, the Husimi Q-function for the excited thermal state is also investigated.