Lower- versus higher-order nonclassicalities for a coherent superposed quantum state

Abstract

A coherent state is defined conventionally in different ways such as a displaced vacuum state, an eigenket of annihilation operator or as an infinite dimensional Poissonian superposition of Fock states. In this work, we describe a superposition $(ta+ra^\dagger)$ of field annihilation and creation operators acting on a continuous variable coherent state $|α\rangle$ and specify it by $|ψ\rangle$