We study various formulations of Leggett–Garg inequality (LGI), specifically, the Wigner and Clauser–Horne forms of LGI, in the context of subatomic systems, in particular, three flavor neutrino as well as meson systems. The optimal forms of various LGIs for either neutrinos or mesons are seen to depend on measurement settings. For the neutrinos, some of these inequalities can be written completely in terms of experimentally measurable probabilities. Hence, the Wigner and Clauser–Horne forms of LGI are found to be more suitable as compared to the standard LGI from the experimental point of view for the neutrino system. Further, these inequalities exhibit maximum quantum violation around the energies roughly corresponding to the maximum neutrino flux. The Leggett–Garg type inequality is seen to be more suited for the meson dynamics. The meson system being inherently a decaying system allows one to see the effect of decoherence on the extent of violation of various inequalities. D...

中文翻译：

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探索亚原子系统中的Leggett-Garg不等式的不等式

我们在亚原子系统，尤其是三种风味中微子和介子系统的背景下，研究了莱格特-盖尔不等式（LGI）的各种形式，特别是Ligner的Wigner和Clauser-Horne形式。中微子或介子的各种LGI的最佳形式被认为取决于测量设置。对于中微子，这些不等式中的某些不等式可以完全根据实验可测概率来表示。因此，从中微子系统的实验角度来看，发现LGI的Wigner和Clauser-Horne形式比标准LGI更合适。此外，这些不等式在大致对应于最大中微子通量的能量附近表现出最大的量子违规。Leggett–Garg型不等式被认为更适合介子动力学。介子系统本质上是一个衰变系统，它使人们可以看到退相干对违反各种不等式的影响。D ...