Quantum coherence in neutrino oscillation in matter

A closer and more detailed study of neutrino oscillation, in addition to assisting us founding physics beyond the standard model, can potentially be used understand fundamental aspects quantum mechanics. In particular, we know that oscillation occurs because states produced detected neutrinos are a coherent superposition mass eigenstates, this coherency is maintained during propagation due small difference neutrinos. paper, consider decoherence interaction material medium with constant density coming from localization properties. For purpose, use $l_1\text{-norm}$ order quantify coherence investigate its dependence on matter density. According our results, general, less than vacuum. However, there exist exceptions; for some densities, lengths become infinite. So, these cases,