# Quantum correlations in neutrino oscillations in curved spacetime

## TL;DR

This paper explores how gravity influences neutrino-antineutrino oscillations and quantum correlations, revealing that stronger gravitational fields suppress entanglement and affect non-classicality indicators.

## Contribution

It introduces a study of gravity-induced neutrino-antineutrino oscillations using entanglement measures and non-classicality witnesses in curved spacetime, highlighting the impact of gravity on quantum correlations.

## Key findings

- Entanglement decreases with increasing gravitational field strength.
- Flavor entropy reveals suppression of quantum correlations due to gravity.
- Mermin and Svetlichny inequalities relate to neutrino mass degeneracy.

## Abstract

Gravity induced neutrino-antineutrino oscillations are studied in the context of one and two flavor scenarios. This allows one to investigate the particle-antiparticle correlations in two and four level systems, respectively. Flavor entropy is used to probe the entanglement in the system. The well known witnesses of non-classicality such as Mermin and Svetlichly inequalities are investigated. Since the extent of neutrino-antineutrino oscillation is governed by the strength of the gravitational field, the behavior of non-classicality shows interesting features as one varies the strength of the gravitational field. Specifically, the suppression of the entanglement with the increase of the gravitational field is observed which is witnessed in the form of decrease in the flavor entropy of the system. The features of the Mermin and the Svetlichny inequalities allow one to make statements about the degeneracy of neutrino mass eigenstates.