Nonclassical properties of binomial state in inertial and accelerated motion

In this article, we considered the effect of uniform acceleration on the quantum binomial state, which consists of a superposition of single-mode Fock states with binomial coefficients. In particular, we studied the nonclassical features of the quantum binomial state under Unruh effect. We obtained analytically various witnesses of nonclassicality such as squeezing, Mandel parameter, and Vogel’s criterion. We found that squeezing could be increased or decreased by the Unruh effect for different observers.  In addition, with the increase of the number of single-mode Fock states in the quantum binomial state, the squeezing increases. Moreover, we found the Mandel parameter and Vogel’s criterion which is a sufficient condition for the nonclassicality of the state and compared the results with the inertial observer.