{
  "abstract": "We study fermionic non-local magic in higher-dimensional free-fermion systems through the lens of the entanglement spectrum. For translationally invariant Gaussian states in strip geometries, dimensional reduction maps the problem to independent lower-dimensional momentum sectors, leading in two dimensions to a multiplicative logarithmic violation of the boundary law analogous to Gioev-Klich-Widom scaling. We further show that the second Rényi fermionic non-local magic is bounded by the capacity of entanglement and introduce an entanglement-temperature deformation that probes the low-energy structure of the entanglement Hamiltonian. Applied to the matter-Majorana sector of the Kitaev model, this response is exponentially suppressed in the Abelian phase and algebraic in the non-Abelian phase, where its ratio with the capacity approaches a universal constant. Out of equilibrium, we extend the quasi-particle description to fermionic non-local magic in higher-dimensional quenches and show that random Gaussian circuits exhibit diffusive spreading in two spatial dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36008",
  "author_total": 3,
  "authors": [
    {
      "name": "Beatrice Magni"
    },
    {
      "name": "Daniele Iannotti"
    },
    {
      "name": "Riccardo Travaglino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8djezamjq2ngq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36008",
  "fulltext_url": null,
  "id": "8djezamjq2ngq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36008",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214983393",
  "pdf_url": "https://arxiv.org/pdf/2609.36008",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8djezamjq2ngq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.36008",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36008"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Entanglement spectrum and magic in higher-dimensional free fermionic systems",
  "title_text": "Entanglement spectrum and magic in higher-dimensional free fermionic systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/8djezamjq2ngq",
  "venue": "arXiv",
  "versions": []
}