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

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 $6.1\sigma$ significance of the violation of them.

11 pages, 6 figures

References in corpus (6)

• Significant-loophole-free test of Bell's theorem with entangled photons
• Necessary and sufficient condition for non-zero quantum discord
• Entanglement in neutrino oscillations
• Violation of the Leggett-Garg Inequality in Neutrino Oscillations
• Three Flavoured neutrino oscillations and the Leggett Garg Inequality
• Leggett-Garg inequalities for the statistics of electron transport

Cited by in corpus (30)

• Quantifying Quantum Coherence in Experimentally-Observed Neutrino Oscillations
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy
• Study of temporal quantum correlations in decohering B and K meson systems
• Physics with Reactor Neutrinos
• Leggett-Garg Macrorealism and temporal correlations
• Geuine tripartite entanglement in three-flavor neutrino oscillations
• New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
• Quantum correlations in neutrino oscillations in curved spacetime
• Probing inequivalent forms of Legget-Garg inequality in subatomic systems
• New physics effects on quantum coherence in neutrino oscillations
• Entropic Leggett-Garg inequality in neutrinos and B (K) meson systems
• NSI effects on tripartite entanglement in neutrino oscillations
• Flavor vacuum entanglement in boson mixing
• Trade-off relations of quantum resource theory in neutrino oscillations
• Can NSI affect non-local correlations in neutrino oscillations?
• Quantum Spread Complexity in Neutrino Oscillations
• Violation of LGtI inequalities in the light of NO$\nu$A and T2K anomaly
• Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference
• Strict experimental test of macroscopic realism in a light-matter-interfaced system
• Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations
• Quantum coherence in neutrino spin-flavor oscillations
• Tests of macrorealism in meson oscillation physics
• Neutrino Oscillations as a Probe of Macrorealism
• Constraints on a Generalization of Geometric Quantum Mechanics from Neutrino and $B^0$-$\overline{B^0}$ Oscillations
• Steering in Neutrino Oscillations with Non-Standard Interaction
• Exploring Quantumness at Long-Baseline Neutrino Experiments
• Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
• Imprints of LGI violation in Mesons
• Impact of Scalar NSI on Spatial and Temporal Correlations in Neutrino Oscillations