The Graviton Statistic From Minimum Uncertainty Primordial Gravitational Wave
Anom Trenggana (a*), Freddy P Zen (a b), Getbogi Hikmawan (a)

a) Theoretical Physics Laboratory, THEPI Division, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, West Java, Indonesia
*gstanomagung[at]gmail.com
b) Indonesian Center for Theoritecal and Mathematical Physics (ICTMP), Jl. Ganesha 10 Bandung 40132, West Java, Indonesia

Abstract

Primordial gravitational waves could have non-classical properties on graviton statistics if their quantum state is a squeezed coherent state. Uniquely, this state can be generated when the system interacts with a classical scalar field with the initial quantum state in the form of a Bunch Davies vacuum. In this research, we try to expand our understanding of these non-classical properties by involving quantum interactions with systems. The quantum interaction can occur if the initial quantum state is generalized in the form of minimal uncertainty. The result is that the non-classical properties will be more difficult to detect if the number of gravitons in the initial state increases. This can happen because the increasing number of gravitons in the early universe caused the noise to be greater. It means that the initial quantum state in the form of a Bunch Davies vacuum is an initial state with non-classical properties that is most likely to be detected.

Keywords: Primordial gravitational waves, Minimal uncertainty, Graviton statistics

Topic: PHYSICAL SCIENCES