Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement

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.