Title: Quantum correlations and the neutrino mass degeneracy problem Show Chinese title

Title: 量子关联与中微子质量简并问题

Abstract: Many facets of nonclassicality are probed in neutrino system in the context of three flavour neutrino oscillations. The analysis is carried out for parameters relevant to two ongoing experiments NO$\nu$A and T2K, and also for the upcoming experiment DUNE. The various quantum correlations turn out to be sensitive to the mass-hierarchy problem in neutrinos. This sensitivity is found to be more prominent in DUNE experiment as compared to NO$\nu$A and T2K experiments. This can be attributed to the large baseline and high energy of the DUNE experiment. Further, we find that to probe these correlations, the neutrino (antineutrino) beam should be preferred if the sign of mass square difference $\Delta_{31}$ turns out to be positive (negative). Show Chinese abstract

Abstract: 在三味中微子振荡的背景下，中微子系统中探测了非经典性的许多方面。 分析针对正在进行的实验NO$\nu$A和T2K相关的参数进行，也针对即将开展的实验DUNE进行。 各种量子关联被发现对中微子的质量层次问题敏感。 与NO$\nu$A和T2K实验相比，这种敏感性在DUNE实验中更为显著。 这可以归因于DUNE实验的长基线和高能量。 此外，我们发现，如果质量平方差$\Delta_{31}$的符号为正（负），则应优先使用中微子（反中微子）束来探测这些关联。