Early Universe Cosmology with Coherent state as an Initial Choice

Abstract: In this article, we are going to study the quantum mechanical properties of primordial perturbations generated during inflation. Instead of choosing Bunch-Davies vacuum, we are going to prescribe the Coherent state as a non-trivial choice for the initial state of cosmological perturbations. Then we are trying to investigate its implications on the CMB map through the determination of its Correlation function, Covariance matrix and Power spectrum. Also we discuss something regarding the homogeneous and isotropic distribution of the Mukhanov-Sasaki variable over cosmological background. After that we will study the behaviour of Entanglement entropy and Bell inequality violation in the context of Squeezed coherent state, a cosmological time-evolved version of Coherent state. From this investigation, we will show that it is possible to distinguish the initial state of cosmological perturbations through the determination of Bell inequality. Apart from this, we also investigate whether it is possible to find any kind of squeezing for our non-trivial choice of Coherent state. Lastly we conclude this article by discussing some of the implications that arise solely due to our initially prescribed Coherent state.