{
  "abstract": "We evaluate the Hellinger-distance coherence of the two-flavor neutrino state subject to Lindblad damping of the mass-eigenstate interference term, and obtain a closed expression in terms of the flavor-basis density-matrix elements. In the two-flavor vacuum treatment with negligible wave-packet separation, the undamped state is pure, and the smallest eigenvalue of the damped state grows linearly with $ε=1-κ$, where $κ=e^{-ΓL}$. An expansion about the pure state then yields a nonanalytic $\\sqrtε$ correction to the Hellinger coherence, with coefficient $K=2\\sqrt{2}\\,u\\sin2θ/\\sqrt{1-2u}$, whereas the flavor-transition probability, the $l_1$ coherence, the concurrence, the entanglement of formation and the local quantum Fisher information all respond linearly in $ε$. Using representative Daya Bay, KamLAND and MINOS working points together with a current $90\\%$ C.L. bound on energy-independent damping, we find fractional changes in the Hellinger coherence of $0.18\\%$, $9.40\\%$ and $21.51\\%$, against $0.0009\\%$, $0.43\\%$ and $1.81\\%$ for the concurrence. The comparison concerns the response of the quantifiers to the damping parameter and carries no implication about experimental resolution. The same mechanism operates, with a different coefficient, for a correlated dephasing channel acting on the flavor coherence, where the non-Markovian regime produces damped revivals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27697",
  "author_total": 3,
  "authors": [
    {
      "name": "Saurabh Rai"
    },
    {
      "name": "Nilakshi Das"
    },
    {
      "name": "Tejhas Kapoor"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f7rqvn4vd5vtm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27697",
  "fulltext_url": null,
  "id": "f7rqvn4vd5vtm",
  "issns": [],
  "landing_url": "https://hal.science/hal-05780403v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
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      "arxiv",
      "quant-ph"
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      "hal",
      "0.phys"
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    [
      "hal",
      "1.phys.hphe"
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      "hal",
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    [
      "openalex",
      "3106|Neutrino Physics Research"
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  "openalex": "W7214159755",
  "pdf_url": "https://arxiv.org/pdf/2609.27697",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f7rqvn4vd5vtm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "hal-05780403",
      "source": "hal",
      "url": "https://hal.science/hal-05780403v1"
    },
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.27697",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27697"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Response of Hellinger-distance based coherence to weak decoherence in two-flavor neutrino oscillations",
  "title_text": "Response of Hellinger-distance based coherence to weak decoherence in two-flavor neutrino oscillations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/f7rqvn4vd5vtm",
  "venue": "HAL",
  "versions": []
}