Gravitational Effects on Quantum Coherence in Neutrino Oscillation

TL;DR

This study examines how gravitational fields influence quantum coherence in neutrino oscillations, revealing that gravity can suppress certain quantum correlations without affecting overall coherence.

Contribution

It provides a combined qualitative and quantitative analysis of gravitational effects on neutrino quantum coherence using Leggett-Garg inequality and $l_{1}$-norm measures.

Findings

Gravity reduces Leggett-Garg inequality violations at certain energies.

Quantum coherence remains unaffected by gravitational effects.

Weak field approximation simplifies the analysis of gravitational impacts.

Abstract

In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. In fact, this issue is explored both qualitatively via calculating the parameter $K_{3}$ in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the $l_{1}$-norm, ${\cal C}(\rho)$. Using the weak field approximations, we show that the gravitational effects decrease the maximum value of $K_{3}$ for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, ${\cal C}(\rho)$ unchanged.