{
  "abstract": "We investigate quantum-enhanced two-phase estimation in a spin-$1$ Bose-Einstein condensate, where spin-exchange collisions generate a spin-nematic squeezed state in the $m_F=\\pm1$ modes. The resulting pair-correlated state has a rank-one quantum Fisher information matrix (QFIM) for the two mode phases relative to the $m_F=0$ mode and therefore cannot resolve them independently. Nevertheless, we find that a parameter-independent passive three-mode transformation lifts this rank deficiency and enables joint estimation of both phases. In the undepleted-pump regime, we derive expressions for the QFIM, optimize the equal-weight multiparameter quantum Cramér-Rao bound, and obtain a full-rank probe with squeezing-enhanced sensitivity below the matched fixed-total-number standard quantum limit (SQL). These analytical predictions are confirmed by exact-diagonalization calculations. We further construct a parameter-independent readout that maps the phase combinations onto displacement channels accessible through atomic homodyne or parity measurements. Our results provide a route from spin-mixing-generated quantum correlations to two-phase estimation in spinor condensates.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01746",
  "author_total": 4,
  "authors": [
    {
      "name": "Jiaheng Jin"
    },
    {
      "name": "Xinwei Li"
    },
    {
      "name": "Dong E. Liu"
    },
    {
      "name": "Li You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/adxw1y821b14w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01746",
  "fulltext_url": null,
  "id": "adxw1y821b14w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01746",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01746",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/adxw1y821b14w.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.01746",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01746"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum-enhanced multiphase estimation with spin-1 Bose-Einstein condensates",
  "title_text": "Quantum-enhanced multiphase estimation with spin-1 Bose-Einstein condensates",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/adxw1y821b14w",
  "venue": "arXiv",
  "versions": []
}