Investigation of super-poissonian nonclassical nature of inflaton field in flat FRW universe through Cosmological Mandel’s ℚ parameter

This study investigates the nonclassical properties of the inflaton field within the framework of semiclassical gravity by analyzing Cosmological Mandel’s [Formula: see text] parameter for Squeezed Number States (SNS) and Coherent Squeezed Number States (CSNS). Mandel’s [Formula: see text] parameter serves as a critical tool for identifying nonclassical states by differentiating between sub-Poissonian and super-Poissonian statistics. The values of Cosmological Mandel’s [Formula: see text] are positive which shows the super-Poissonian nonclassical nature of inflaton for SNS and CSNS. These results provide deeper insights into the statistical properties of quantum states in early-universe cosmology and emphasize the relevance of SNS and CSNS in understanding quantum effects on cosmic inflation and particle production.