Flavour composition and entropy increase of cosmological neutrinos after decoherence
Abstract
We propose that gravitational interactions of cosmic neutrinos with the statistically homogeneous and isotropic fluctuations of space-time leads to decoherence. This working hypothesis, which we describe by means of a Lindblad operator, is applied to the system of two- and three-flavour neutrinos undergoing vacuum oscillations and the consequences are investigated. As result of this decoherence we find that the neutrino entropy would increase as a function of initial spectral distortions, mixing angles and CP-violation phase. Subsequently we discuss the chances to discover such an increase observationally (in principle). We also present the expected flavour composition of the cosmic neutrino background after decoherence is completed. The physics of two- or three-flavour oscillation of cosmological neutrinos resembles in many aspects two- or three-level systems in atomic clocks, which were recently proposed by Weinberg for the study of decoherence phenomena.
Keywords
Cite
@article{arxiv.1704.06139,
title = {Flavour composition and entropy increase of cosmological neutrinos after decoherence},
author = {Daniel Boriero and Dominik J. Schwarz and Hermano Velten},
journal= {arXiv preprint arXiv:1704.06139},
year = {2019}
}
Comments
22 pages, 5 figures, major improvements, matches published version