{
  "abstract": "We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduction, the unknown compactly supported atomic density appears as a frequency-dependent potential in a scattering equation for the half Laplacian. We prove high-frequency uniqueness results for three types of intensity data: source-driven measurements, renormalized far-field intensity measurements, and phaseless far-field measurements obtained from coherent superpositions of incident plane waves. In each case, the corresponding data, given at all sufficiently large frequencies, determine the atomic density uniquely; the source-driven result requires a geometric visibility condition on the source and observation sets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03726",
  "author_total": 6,
  "authors": [
    {
      "name": "Giovanni Covi"
    },
    {
      "name": "Matti Lassas"
    },
    {
      "name": "Medet Nursultanov"
    },
    {
      "name": "Lauri Oksanen"
    },
    {
      "name": "Mikko Salo"
    },
    {
      "name": "John C. Schotland"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9mdcvf76tw5bc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03726",
  "fulltext_url": null,
  "id": "9mdcvf76tw5bc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03726",
  "language": null,
  "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",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.03726",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9mdcvf76tw5bc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03726",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03726"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Inverse Scattering for Single Photons in Quantum Optics",
  "title_text": "Inverse Scattering for Single Photons in Quantum Optics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/9mdcvf76tw5bc",
  "venue": "arXiv",
  "versions": []
}