New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality

Abstract

Leggett-Garg Inequality~(LGI) is a time analogue of Bell's inequality that concerns measurements performed on a system at different times. Violation to LGI indicates quantum coherence. We present a Leggett-Garg-type inequality compatible with more general neutrino oscillation frameworks, allowing the effects of decoherence to be taken into consideration. The inequality is applied to test coherence for data from Daya Bay, MINOS, and KamLAND experiments, and their results are compared to theoretical predictions to investigate decoherence. Both Daya Bay and MINOS data exhibit clear violations of over $10\sigma$, and of over 90$\%$ of theoretical predictions, while the KamLAND data exhibit violation of $1.9\sigma$, being of 58$\%$ of the theoretical prediction. The present work is the first to have considered the energy uncertainties in neutrino coherence tests.

7 latex pages, 3 figures, final version for publication in EPJC

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• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Signatures of quantum behavior in single-qubit weak measurements
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Cited by in corpus (9)

• Complete complementarity relations for quantum correlations in neutrino oscillations
• No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
• Nonlocality and entropic uncertainty relations in neutrino oscillations
• Tests of macrorealism in meson oscillation physics
• Violation of the two-time Leggett-Garg inequalities for a harmonic oscillator
• Neutrino Oscillations as a Probe of Macrorealism
• Neutrino Flavour Waves Through the Quantum Vacuum: A Theory of Oscillations
• Exploring Quantumness at Long-Baseline Neutrino Experiments
• Violation of the Leggett-Garg inequality in photon-graviton conversion