The Berry phase in inflationary cosmology

TL;DR

This paper introduces a cosmological analogue of the Berry phase linked to inflationary perturbations, connecting it to observable spectral indices and discussing its potential significance in inflationary cosmology.

Contribution

It derives the Berry phase for inflationary perturbations and relates it to observable parameters, providing new insights into quantum effects in cosmology.

Findings

Cosmological Berry phase can be expressed through spectral indices.

The phase has potential implications for understanding inflationary quantum effects.

Discussion of the phase's physical significance in theoretical and observational contexts.

Abstract

We derive an analogue of the Berry phase associated with inflationary cosmological perturbations of quantum mechanical origin by obtaining the corresponding wavefunction. We have further shown that cosmological Berry phase can be completely envisioned through the observable parameters, viz. spectral indices. Finally, physical significance of this phase is discussed from the point of view of theoretical and observational aspects with some possible consequences of this quantity in inflationary cosmology.