{
  "abstract": "We explore coherent ergotropy extraction in quantum batteries from a resource-geometric point of view. For an initial state $ρ$, we quantify the coherent extraction process by the coherent ergotropy $\\mathcal{E}_c(ρ)$ and the coherent extraction distance $D_c^{\\rm ext}(ρ)$ between the active state $σ_ρ$ and the passive state $P_ρ$. This defines the geometric power capacity $Π_c(ρ)=\\mathcal{E}_c(ρ)/D_c^{\\rm ext}(ρ)$, which measures the coherent ergotropy released unit minimal unitary distance. We prove that, for any driving Hamiltonian satisfying $\\|V_t\\|\\leqν$, the actual coherent discharging power is bounded by $P_c^{\\rm ext}(ρ;V_t)\\leq νΠ_c(ρ)$, showing that $Π_c(ρ)$ is a capacity under unit driving norm rather than the power of a particular protocol. General bounds on $Π_c(ρ)$ are derived by combining relative entropy bounds on coherent ergotropy with geometric bounds on the coherent extraction distance. We also formulate coherence measure induced bounds and protocol-corrected capacities involving the effective speed of a given Hamiltonian. Qubit and qutrit examples demonstrate that $Π_c(ρ)$ captures a resource-geometric feature of coherent discharging beyond coherent ergotropy or coherence measures alone.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. A 114, 042211 Published 15 October, 2026",
  "arxiv": "2607.16645",
  "author_total": 4,
  "authors": [
    {
      "name": "Dong-Ping Xuan"
    },
    {
      "name": "Hua Nan"
    },
    {
      "name": "Zhi-Xi Wang"
    },
    {
      "name": "Shao-Ming Fei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3xgpcfhna084f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.16645",
  "fulltext_url": null,
  "id": "3xgpcfhna084f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.16645",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.16645",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3xgpcfhna084f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2607.16645",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.16645"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Geometric power capacity of coherent ergotropy in quantum batteries",
  "title_text": "Geometric power capacity of coherent ergotropy in quantum batteries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/3xgpcfhna084f",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/37q3-92p9",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}