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

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 ($\nu_{e}^{L}\leftrightarrow\nu_{\mu}^{L}$) and spin ($\nu_{e}^{L}\leftrightarrow\nu_{e}^{R}$) 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 $\Delta L$ where the LGI is violated, as quantified by the correlator functions $K_{3}$ and $K_{4}$.

arXiv:2606.04412 [quant-ph]

(or arXiv:2606.04412v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.04412 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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