{
  "abstract": "We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the outcome of scattering events. The full counting statistics of transmitted electrons has a binomial distribution function, whose mean ${\\cal T}$ and variance ${\\cal T}(1-{\\cal T})$ determine the conductance and shot noise power, respectively. Monitoring suppresses the phase coherence responsible for one-dimensional localization: The decay with conductor length $L$ of the typical transmission probability crosses over at $L\\simeq \\ell_ϕ$ from the exponential $e^{-L/ξ}$ (with localization length $ξ$) to the Ohmic $1/L$ decay. Numerical solution of the master equation gives, for weak monitoring, a logarithmic dependence $\\ell_ϕ\\simeq ξ\\ln(v_{\\rm F}τ_ϕ/ξ)$ of the coherence length $\\ell_ϕ$ on the mean time $τ_ϕ$ between measurements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 225129 (2026)",
  "arxiv": "2605.22701",
  "author_total": 3,
  "authors": [
    {
      "name": "J. Sánchez Fernán"
    },
    {
      "name": "J. Tworzydło"
    },
    {
      "name": "C. W. J. Beenakker"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bqgn6vw1sqfvf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.22701",
  "fulltext_url": null,
  "id": "bqgn6vw1sqfvf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.22701",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.22701",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bqgn6vw1sqfvf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2605.22701",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.22701"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Monitored quantum transport through a disordered one-dimensional conductor",
  "title_text": "Monitored quantum transport through a disordered one-dimensional conductor",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/bqgn6vw1sqfvf",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/8by5-4tzt",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}