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Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos

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arxiv 1304.2761 v1 pith:ZA2TJTHQ submitted 2013-04-09 quant-ph hep-exhep-ph

classification quant-phhep-exhep-ph
keywords neutrinosinequalitykaonsleggett-gargneutraloscillatingviolationanalogue
verification ladder T0 review T1 audit T2 compute T3 formal

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The Leggett-Garg inequality (LGI) as a temporal analogue of Bell's inequality, derived using the notion of realism, is applied in a hitherto unexplored context involving the weak interaction induced two-state oscillations of decaying neutral kaons and neutrinos. The maximum violation of LGI obtained from the quantum mechanical results is significantly higher for the oscillating neutrinos compared to that for the kaons. Interestingly, the effect of CP non-invariance for the kaon oscillation is to enhance this violation while, for neutrinos, it is sensitive to the value of the mixing parameter.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Leggett-Garg Inequality Violation in Muon $g-2$ Experiments

    hep-ph 2026-06 conditional novelty 7.0 of 10

    Analysis of ~10 billion muon decays from Fermilab g-2 data shows 5.5σ Leggett-Garg inequality violation via reconstructed temporal polarization correlators.

  2. Exploring Quantumness at Long-Baseline Neutrino Experiments

    hep-ph 2026-01 conditional novelty 6.0 of 10

    A Leggett-Garg analysis of long-baseline neutrino data reports a ~14σ quantum-versus-classical separation at T2K (and >5σ at NOvA and DUNE projections), computed with a non-standard, classically-normalized significanc...

  3. Violation of the Leggett-Garg inequality in photon-graviton conversion

    gr-qc 2026-01 conditional novelty 4.0 of 10

    Photon-graviton conversion in a magnetic field produces a Leggett-Garg inequality violation, but the violation follows from the generic two-level oscillation formula and an invasive measurement protocol, so it is not ...

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