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

• URL: http://arxiv.org/abs/2606.04412v1
• Date: Wed, 03 Jun 2026 03:42:32 GMT
• Title: Leggett-Garg test inequality with spin and flavour neutrino oscillations in a constant magnetic field
• Abstract summary: Leggett-Garg inequality (LGI) is an analogue of Bell inequality involving correlations of measurements of one observable on a system at different times.<n>In this work, we investigate its implications in the context of neutrino flavour ($_Lleftrightarrow_L$) and spin oscillations in the presence of a constant transverse magnetic field.<n>For systems with strong magnetic fields, we show that, for both cases, there are length regions $L$ where the LGI is violated, as quantified by the correlator functions $K_3$ and $K_
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Leggett-Garg inequality (LGI), an analogue of Bellś inequality involving correlations of measurements of one observable on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. In this work, we investigate its implications in the context of neutrino flavour ($ν_{e}^{L}\leftrightarrowν_μ^{L}$) and spin ($ν_{e}^{L}\leftrightarrowν_{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 $K_{3}$ and $K_{4}$.

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