{
  "abstract": "Continuous measurement is commonly associated with decoherence and the loss of symmetry. Here, we show that weak continuous measurements can instead act selectively: depending on the measured observable, they may either preserve or remove a dynamical relation between initially mirrored states. Using tunneling between the $|+1\\rangle$ and $|-1\\rangle$ states of a spin-1 system, we demonstrate that measurements of $S_x$ and $S_y$ break the symmetry of the tunneling dynamics in the presence of a longitudinal bias, whereas measurement of $S_z$ leaves it intact. We formulate this behavior within the Lindblad framework, support it with numerical simulations, and reproduce the dissipative dynamics in a two-qubit quantum circuit using Trotterized evolution and stochastic collective rotations. Our results establish continuous measurement as a selective tool for controlling dynamical symmetry in open quantum systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.19582",
  "author_total": 4,
  "authors": [
    {
      "name": "Polina Kofman"
    },
    {
      "name": "Elvira Bilokon"
    },
    {
      "name": "Valeriia Bilokon"
    },
    {
      "name": "Denys I. Bondar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jms0c3cs9679.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.19582",
  "fulltext_url": null,
  "id": "6jms0c3cs9679",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.19582",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7170153131",
  "pdf_url": "https://arxiv.org/pdf/2607.19582",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jms0c3cs9679.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2607.19582",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.19582"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Measurement-Selective Dynamical Symmetry Breaking",
  "title_text": "Measurement-Selective Dynamical Symmetry Breaking",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/6jms0c3cs9679",
  "venue": "arXiv",
  "versions": []
}