论文标题
三味集体中微子振荡的纠缠
Entanglement in three-flavor collective neutrino oscillations
论文作者
论文摘要
核心偏曲超新星内部内部存在的极端条件使中微子 - 中微子中性抗体的相互作用不仅可行，而且在特定区域中占主导地位，从而导致中微子风味的非线性进化。当这种集体中微子振荡在平均场近似中处理时，由于忽略的量子相关性而在平均场近似中处理结果时获得的结果。我们介绍了集体中微子振荡的前三个风味多体计算。纠缠是根据纠缠熵和极化向量的组成部分量化的。我们提出了一种定性的纠缠量，以保守数量的风味数量。我们发现，在当前工作中考虑的情况下，可以将纠缠以两种风味近似来低估。还研究了纠缠对批量排序的依赖性。我们还探索了不同质量顺序中质量本征的混合。
Extreme conditions present in the interiors of the core-collapse supernovae make neutrino-neutrino interactions not only feasible but dominant in specific regions, leading to the non-linear evolution of the neutrino flavor. Results obtained when such collective neutrino oscillations are treated in the mean-field approximation deviate from the results using the many-body picture because of the ignored quantum correlations. We present the first three flavor many-body calculations of the collective neutrino oscillations. The entanglement is quantified in terms of the entanglement entropy and the components of the polarization vector. We propose a qualitative measure of entanglement in terms of flavor-lepton number conserved quantities. We find that in the cases considered in the present work, the entanglement can be underestimated in two flavor approximation. The dependence of the entanglement on mass ordering is also investigated. We also explore the mixing of mass eigenstates in different mass orderings.
