Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement

TL;DR

This paper explores quantum correlations like coherence and entanglement in neutrino oscillations, revealing their interconnectedness and how wave packet width influences quantum coherence.

Contribution

It demonstrates that the $l_{1}$-norm coherence measure equals the sum of concurrences, linking quantum coherence and entanglement in neutrino oscillations.

Findings

The $l_{1}$-norm equals the sum of concurrences for flavor mode entanglement.

Quantum coherence increases with wave packet width $\sigma_{x}$ due to greater mass eigenstate overlap.

Flavor entanglement and quantum coherence share the same origin in neutrino oscillation.

Abstract

In this paper, we consider the quantum correlations, coherence and entanglement, in neutrino oscillation. We find that the $l_{1}$-norm as a coherence measure is equal to sum of the three possible concurrences for measuring the entanglement among different flavor modes which were calculated in the paper by (M. Blasone et al., Europhys. Lett., {\bf 112}, 20007). Our result shows that the origin of the flavor entanglement in neutrino oscillation is the same as that of quantum coherence. Furthermore, in the wave packet framework, the variation of $l_{1}$-norm is investigated by varying the wave packet width $\sigma_{x}$. As it is expected the amount of coherence increases by $\sigma_{x}$ due to the increase in the overlapping of the mass eigenstates.