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Quantum Foundations

Leggett-Garg test inequality with spin and flavour neutrino oscillations in a constant magnetic field

arXiv

Authors: I. A. Monroy, S. D. Madrid

Year

2026

Paper ID

67883

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

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Abstract

The Leggett-Garg inequality (LGI), an analogue of Bellś inequality involving correlations of measurements of one observable on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. In this work, we investigate its implications in the context of neutrino flavour $ν_e^Lleftrightarrowν_μ^L$ and spin $ν_e^Lleftrightarrowν_e^R$ oscillations in the presence of a constant transverse magnetic field. For systems with strong magnetic fields, we show that, for both cases, there are length regions ΔL where the LGI is violated, as quantified by the correlator functions K₃ and K₄.

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The Leggett-Garg inequality (LGI), an analogue of Bellś inequality involving correlations of measurements of one observable on a system at different times, stands as one of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.04412 [2] arXiv https://arxiv.org/abs/2606.04412 [3] Publisher https://arxiv.org/abs/2606.04412

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