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

A coherent state is defined conventionally in different ways such as a displaced vacuum state, an eigenket of annihilation operator, or infinite dimensional Poissonian superposition Fock states. In this work, we describe ( t a + r † stretchy="false">) field and creation operators acting on continuous variable stretchy="false">| α fence="false" stretchy="false">⟩<!-- ⟩ specify it by <mml:mi>ψ<!-- ψ . We analyze the lower- well higher-order nonclassical properties The comparison performed using set nonclassicality witnesses (e.g., photon statistics, antibunching, sub-Poissonian squeezing, Agarwal–Tara parameter, Klyshko’s condition, relatively new concept, matrix phase-space distribution). It found that criteria are much more efficient to detect presence compared lower-order conditions except where one competent than its counterpart.