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<p>We describe three-flavor neutrino oscillations as the dynamics of a single qutrit coupled to a classical random telegraph noise (RTN) environment. The noise acts as pure dephasing in the mass basis, and the ratio between the switching rate and the coupling strength controls whether the pairwise coherence factors evolve monotonically or exhibit memory-induced revivals. Using a representative dimensionless parameter set, we derive the time-dependent dephasing functions and rates and propagate an initial electron-flavor state to obtain survival probabilities and flavor-basis coherence quantified by the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(l_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>l</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> norm and the relative entropy of coherence. CP-divisibility is diagnosed through pairwise coherence amplification, whereas information backflow is diagnosed independently through the trace distance of a fixed flavor-state pair. The latter provides a lower bound to the optimized BLP measure. A coherence heat map in the time–noise plane identifies the parameter region in which environmental memory significantly modifies flavor coherence. The numerical results characterize qualitative dynamical regimes rather than calibrated predictions for a specified neutrino source, baseline, energy distribution, or matter profile.</p>

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Non-Markovian Dephasing and Flavor Coherence in a Three-Flavor Neutrino Qutrit

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • F. Aljuaydi,
  • E. K. Jaradat,
  • A.-B. A. Mohamed,
  • A. S. A. Alghwali,
  • Muhammad Noman

摘要

We describe three-flavor neutrino oscillations as the dynamics of a single qutrit coupled to a classical random telegraph noise (RTN) environment. The noise acts as pure dephasing in the mass basis, and the ratio between the switching rate and the coupling strength controls whether the pairwise coherence factors evolve monotonically or exhibit memory-induced revivals. Using a representative dimensionless parameter set, we derive the time-dependent dephasing functions and rates and propagate an initial electron-flavor state to obtain survival probabilities and flavor-basis coherence quantified by the \(l_1\) l 1 norm and the relative entropy of coherence. CP-divisibility is diagnosed through pairwise coherence amplification, whereas information backflow is diagnosed independently through the trace distance of a fixed flavor-state pair. The latter provides a lower bound to the optimized BLP measure. A coherence heat map in the time–noise plane identifies the parameter region in which environmental memory significantly modifies flavor coherence. The numerical results characterize qualitative dynamical regimes rather than calibrated predictions for a specified neutrino source, baseline, energy distribution, or matter profile.