{
  "abstract": "We present a theoretical study of trapping an electron in a two-frequency Paul trap, motivated by future hybrid architecture consisting of a doubly charged calcium ion (Ca$^{2+}$) and an electron. By isolating the electron from ionic-electron interactions, we formulate the equations of motion for the electron in the time-dependent trap potentials and cast them in the Hill form. Stability and dynamics are then analysed in terms of the dimensionless q-parameters, which encode the applied voltages, drive frequencies, trap geometry, and the particle's charge-to-mass ratio. Under the combined action of the two radio-frequency fields, the trapped electron's classical motion is shown to be approximated well by a slow secular oscillation modulated by two distinct motion sidebands originating from the low- and high-frequency RF drives. The approximation method presented here enables a quick evaluation of the relation between the device-design q-parameters and the electron motion. It offers a crucial foundation for developing physical models of electron-ion interactions in electron-ion traps.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38936",
  "author_total": 3,
  "authors": [
    {
      "name": "Payman Mahmoudi"
    },
    {
      "name": "Michal Tarana"
    },
    {
      "name": "Michal Hejduk"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c5j0q5c08wwha.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38936",
  "fulltext_url": null,
  "id": "c5j0q5c08wwha",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38936",
  "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",
      "physics.atom-ph"
    ],
    [
      "arxiv",
      "physics.class-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38936",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c5j0q5c08wwha.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38936",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38936"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.atom-ph",
      "subfield": "amo"
    }
  ],
  "title": "Theoretical Study of Classical Dynamics of Electron in Two-Frequency Paul Trap",
  "title_text": "Theoretical Study of Classical Dynamics of Electron in Two-Frequency Paul Trap",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/c5j0q5c08wwha",
  "venue": "arXiv",
  "versions": []
}