论文标题
中微子振荡的混合状态几何阶段
Mixed state geometric phase for neutrino oscillations
论文作者
论文摘要
中微子振荡的几何图像为研究这种现象的量子力学提供了独特的方法。在这张图中，中微子束的传播是通过在具有非平凡几何形状的状态空间中演变的密度矩阵来描述的。我们得出了混合状态几何阶段的明确表达，该阶段在这种演化过程中为两个和三个风味中微子振荡产生。我们表明，在两个风味中微子振荡的情况下，几何相与Majorana阶段无关，并且可以用作中微子束相干性的量度。
The geometric picture of neutrino oscillations offers a unique way to study the quantum mechanics of this phenomenon. In this picture, the propagation of a neutrino beam is described by a density matrix evolving in a state space with non-trivial geometry. We derive explicit expressions of the mixed state geometric phase which arise during such an evolution for both two and three flavor neutrino oscillations. We show that, in the case of two flavor neutrino oscillations, the geometric phase is independent of the Majorana phase and it can be used as a measure of coherence of the neutrino beam.
