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arXiv · 1705.08601

Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment

Qiang Fu·Xurong Chen
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Abstract

The Leggett-Garg inequality (LGI), derived under the assumption of realism, acts as the temporal Bell's inequality. It is studied in electromagnetic and strong interaction like photonics, superconducting qu-bits and nuclear spin. Until the weak interaction two-state oscillations of neutrinos affirmed the violation of Leggett-Garg-type inequalities (LGtI). We make an empirical test for the deviation of experimental results with the classical limits by analyzing the survival probability data of reactor neutrinos at a distinct range of baseline dividing energies, as an analog to a single neutrino detected at different time. A study of the updated data of Daya-Bay experiment unambiguously depicts an obvious cluster of data over the classical bound of LGtI and shows a $6.1σ$ significance of the violation of them.

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Qiang Fu, Xurong Chen. 2017-11-15. Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment. https://doi.org/10.1140/epjc%2Fs10052-017-5371-y

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