{
  "abstract": "Periodically driven photonic and optomechanical systems provide a versatile setting for realizing collective Floquet dynamics, yet the relation between temporal locking and continuous rotation of the finite-$q$ pattern remains poorly understood. We show that a nonreciprocal ring of parametrically driven optically levitated particles allows the spatial phase to be controlled while collective temporal locking is preserved. Nonreciprocity polarizes the counterpropagating finite-wave-vector modes and drives a transition from the pinned state to persistent directional spatial-phase drift. The normalized spatial-phase drift velocity is independently encoded in the splitting of the two dominant spectral branches, and its direction reverses with the coupling asymmetry. The pinned regime exhibits a laboratory frame period-two time-crystalline response, whereas the rotating regime forms a distinct temporally locked spatiotemporally ordered state. The same correspondence between spatial-phase drift and spectral splitting persists down to few-particle rings, indicating that the effect does not require a large array. These results establish nonreciprocity as a route to independently control spatial-phase drift and temporal synchronization in driven levitated optomechanical systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21399",
  "author_total": 3,
  "authors": [
    {
      "name": "Guangyu Zhang"
    },
    {
      "name": "Qihao Guo"
    },
    {
      "name": "Zhang-qi Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0m7ywwp0zywwm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21399",
  "fulltext_url": null,
  "id": "0m7ywwp0zywwm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21399",
  "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",
      "physics.class-ph"
    ],
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "openalex",
      "3107|Mechanical and Optical Resonators"
    ]
  ],
  "openalex": "W7222764276",
  "pdf_url": "https://arxiv.org/pdf/2610.21399",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0m7ywwp0zywwm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21399",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21399"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Nonreciprocal Control of Spatiotemporal Floquet Dynamics in Levitated Optomechanical Arrays",
  "title_text": "Nonreciprocal Control of Spatiotemporal Floquet Dynamics in Levitated Optomechanical Arrays",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/0m7ywwp0zywwm",
  "venue": "arXiv",
  "versions": []
}