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Measuring entangled neutrino states in a toy model QFT
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.nuclphysb.2020.115113
Hosam Mohammed , Jarah Evslin , Emilio Ciuffoli

Localized wave packet treatments of neutrino oscillations by various groups lead to mutually inconsistent predictions. The neutrino wave packet description arises as an approximate substitute for the evolution of an entangled state which is not localized. The disagreements arise from qualitative differences in the framework which are not specific to electroweak interactions, and so have analogues in simpler models. Therefore in this note we introduce a toy model which allows one to explicitly test these predictions while consistently keeping track of the entanglement of the neutrinos and the source particles. Our study is robust as we use only the Schrodinger picture evolution equations on the entangled state, which are solved explicitly without recourse to the wave packet approximation.



中文翻译:

在玩具模型QFT中测量纠缠的中微子状态

不同群对中微子振荡的局部波包处理导致相互矛盾的预测。中微子波包的描述是对未局限的纠缠态演化的近似替代。分歧是由框架中的质量差异引起的,这些差异并非特定于电弱相互作用,因此在较简单的模型中也存在类似情况。因此,在本说明中,我们引入了一种玩具模型,该模型可以明确地测试这些预测,同时始终跟踪中微子和源粒子的纠缠。我们的研究是稳健的,因为我们仅在纠缠状态下使用Schrodinger图片演化方程,而无需借助波包近似就可以明确求解这些方程。

更新日期:2020-07-15
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