{
  "abstract": "It is common in particle detector models in cavity QED to often omit zero modes or assume their state, compromising causality or introducing ambiguity in their predictions. We show that spatial-derivative coupling eliminates both problems. For free massless scalar fields in static periodic or Neumann cavities of any spatial dimension, cavity-frame spatial derivatives annihilate the zero-mode operator while preserving microcausality. Detector dynamics and entanglement harvesting then depend only on the reduced detector-oscillator state, nonperturbatively and even with initial correlations with the zero mode. Time derivatives and moving-detector rest-frame spatial derivatives can retain zero-mode state dependence not compromising causality. Realized through current coupling in superconducting circuits, spatial-derivative coupling thus makes zero-mode state assumptions unnecessary.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00309",
  "author_total": 3,
  "authors": [
    {
      "name": "Eduardo Martín-Martínez"
    },
    {
      "name": "Ireneo James Membrere"
    },
    {
      "name": "Adam Teixidó-Bonfill"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1b6ja1jj757bf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00309",
  "fulltext_url": null,
  "id": "1b6ja1jj757bf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00309",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00309",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1b6ja1jj757bf.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00309",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00309"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Zero mode, Zero influence: Spatial-derivative coupling in particle detectors",
  "title_text": "Zero mode, Zero influence: Spatial-derivative coupling in particle detectors",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/1b6ja1jj757bf",
  "venue": "arXiv",
  "versions": []
}