Adiabatic Invariants and Scalar Fields in a de Sitter Space-Time

TL;DR

This paper applies the adiabatic invariants method to a scalar field in de Sitter space-time, exploring particle creation, state construction, and classical distribution emergence.

Contribution

It introduces a novel application of adiabatic invariants to analyze scalar fields in de Sitter space, linking quantum states to particle creation and classical behavior.

Findings

Construction of scalar field ground and coherent states in de Sitter space

Analysis of particle creation during cosmological expansion

Demonstration of classical probability distribution emergence at late times

Abstract

The method of adiabatic invariants for time dependent Hamiltonians is applied to a massive scalar field in a de Sitter space-time. The scalar field ground state, its Fock space and coherent states are constructed and related to the particle states. Diverse quantities of physical interest are illustrated, such as particle creation and the way a classical probability distribution emerges for the system at late times.