Superposition of the Finite Dimensional Pair Coherent State and Some Nonclassical Properties

In this communication we study a superposition of two finite dimensional pair coherent states. We show that such states possess inherent nonclassical properties such as sub-Poissonian distribution, anti-correlation between the two-mode and violation of Cauchy–Schwarz inequalities. The s-parameterized characteristic function (CF) is considered. Furthermore, the phase distribution in the framework of Pegg and Barnett formalism, W-function and Q-function are discussed. General conclusions reached are illustrated by numerical results.