{
  "abstract": "We investigate the physical requirements to reach the ultimate limits of ground-state metrology -- i.e., the estimation of an unknown parameter $θ$ of an $N$-body Hamiltonian via measurements on its ground state -- using many-body probes featuring either short-range or long-range interactions. We characterize the conditions to saturate two fundamental limits of the quantum Fisher information $F_θ$: the static ground-state bound $F_θ\\lesssim N^2/Δ^2$, where $Δ$ is the spectral gap, and the dynamical Heisenberg limit $F_θ\\lesssim N^2 τ^2$, where $τ$ is the total protocol duration. To saturate the static limit, we argue that short-range interacting systems require a spectral gap that closes with $N$. At second-order quantum critical points this leads to a universal condition on the critical exponents, $ν(d+z)=1$, which can be approached arbitrarily closely, as we show for the XXZ chain; cat-like ground states at first-order transitions provide an alternative route to static optimality. In contrast, we find that all-to-all interacting models can achieve optimality even in gapped regimes. Furthermore, reaching the dynamical bound is tightly related to the ground-state preparation time; we demonstrate that its optimal, inverse-gap profile can be obtained via local adiabatic protocols. By analyzing paradigmatic systems -- the transverse-field Ising chain, the XXZ chain, a squeezing Hamiltonian, and the two-mode Bose-Hubbard model -- we identify specific many-body probes capable of approaching both limits. Overall, our results provide a theoretical basis for the design of (local) many-body ground-state sensors operating at the ultimate limits of quantum precision.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03653",
  "author_total": 5,
  "authors": [
    {
      "name": "Erik L. André"
    },
    {
      "name": "Víctor Izquierdo"
    },
    {
      "name": "Ricard Puig"
    },
    {
      "name": "John Calsamiglia"
    },
    {
      "name": "Martí Perarnau-Llobet"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/695nj4wcm8pn4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03653",
  "fulltext_url": null,
  "id": "695nj4wcm8pn4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03653",
  "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",
      "cond-mat.other"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220468535",
  "pdf_url": "https://arxiv.org/pdf/2610.03653",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/695nj4wcm8pn4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03653",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03653"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Reaching the Limits of Ground-State Metrology with Many-Body Probes",
  "title_text": "Reaching the Limits of Ground-State Metrology with Many-Body Probes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/695nj4wcm8pn4",
  "venue": "arXiv",
  "versions": []
}