Investigation of Super-Poissonian Nonclassical Nature of Inflaton Field in Flat FRW Universe through Cosmological Mandels $Q$ Parameter

TL;DR

This paper explores the super-Poissonian nonclassical properties of the inflaton field in early universe cosmology using the Cosmological Mandel Q parameter, revealing quantum statistical features relevant to inflation.

Contribution

It introduces the use of the Cosmological Mandel Q parameter to identify super-Poissonian nonclassical states of the inflaton field in a flat FRW universe, focusing on SNS and CSNS.

Findings

Inflaton field exhibits super-Poissonian nonclassical behavior.

Cosmological Mandel Q parameter is positive for SNS and CSNS.

Results enhance understanding of quantum effects during cosmic inflation.

Abstract

This study investigates the nonclassical properties of the inflaton field within the framework of semiclassical gravity by analyzing Cosmological Mandels $Q$ parameter for Squeezed Number States (SNS) and Coherent Squeezed Number States (CSNS). Mandels $Q$ parameter serves as a critical tool for identifying nonclassical states by differentiating between sub-Poissonian and super-Poissonian statistics. The values of Cosmological Mandels $Q$ are positive shows the super-Poissonian non-classical nature of inflaton for Squeezed Number States (SNS) and Coherent Squeezed Number States (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.