{
  "abstract": "We extend the random-matrix theory of chaotic scattering to quantum dots whose dynamics is monitored by time-resolved measurements. Starting from a scattering matrix drawn from a circular ensemble, we construct the corresponding ensemble of Kraus operators for the monitored evolution of the many-body density matrix. In the single-particle sector the sum over measurement outcomes can be carried out algebraically, giving a discrete-time quantum master equation for the transferred charge. We solve this equation numerically and compare the resulting charge-transfer statistics with closed-form random-matrix predictions. The latter rely on an equipartition rule for monitored particles, which we formulate as a conjecture and test against the master equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Math. Phys. 67, 091901 (2026)",
  "arxiv": "2606.04794",
  "author_total": 3,
  "authors": [
    {
      "name": "C. W. J. Beenakker"
    },
    {
      "name": "J. Sánchez Fernán"
    },
    {
      "name": "J. Tworzydło"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8gqt54y0n0kg2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.04794",
  "fulltext_url": null,
  "id": "8gqt54y0n0kg2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.04794",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.04794",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8gqt54y0n0kg2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2606.04794",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.04794"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Monitored chaotic scattering",
  "title_text": "Monitored chaotic scattering",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/8gqt54y0n0kg2",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1063/5.0346430",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}