The Berry phase in inflationary cosmology

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.

9 pages, Modified version to appear in Classical and Quantum Gravity. arXiv admin note: text overlap with arXiv:quant-ph/0307084 by other authors

References in corpus (5)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-gaussianity from the second-order cosmological perturbation
• Inflationary Perturbations: the Cosmological Schwinger Effect
• Analogue of cosmological particle creation in an ion trap
• The Quantum State of Inflationary Perturbations

Cited by in corpus (3)

• Canonical transformations and squeezing formalism in cosmology
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation