{
  "abstract": "We show that stronger interactions protect periodically driven time-crystal order against dephasing but destabilise order under random multipolar drives, and that coordination matters beyond the total interaction strength. We studied a disordered kicked Ising model of $N=12$ and $16$ spins with imperfect $π$ pulses and per-site dephasing by exact diagonalisation, comparing a periodic drive, random multipolar drives of order $n=0,1,2$ and the Thue-Morse sequence, and separated coupling strength from coordination by comparing a grid with a ring at equal total interaction strength $zJ$. For the periodic drive the coherence time scales approximately as $1/γ$, and stronger coupling reduces the transverse tilt on which dephasing acts. For multipolar drives of order $n\\ge1$, doubling the coupling on a ring shortens the coherence time to $0.54$ ($n=1$), $0.37$ ($n=2$) and $0.44$ (Thue-Morse) at $N=16$, while random signs ($n=0$) are unaffected. A disorder scan supports a toggling-frame picture in which interactions spoil the block cancellation of the pulse error. At equal $zJ$ the grid outlives the ring by $2.15$ ($N=12$) and $2.78$ ($N=16$) for the periodic drive despite an identical transverse tilt, a coordination effect beyond this picture. All ratios hold under three definitions of the coherence time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33574",
  "author_total": 2,
  "authors": [
    {
      "name": "Karthikeya Machiraju"
    },
    {
      "name": "Kaustav Bhowmick"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f23vna00btg5a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33574",
  "fulltext_url": null,
  "id": "f23vna00btg5a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33574",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214724288",
  "pdf_url": "https://arxiv.org/pdf/2609.33574",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f23vna00btg5a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.33574",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33574"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Interactions Protect Periodically Driven Time Crystals Against Dephasing but Destabilise Multipolar-Driven Order",
  "title_text": "Interactions Protect Periodically Driven Time Crystals Against Dephasing but Destabilise Multipolar-Driven Order",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/f23vna00btg5a",
  "venue": "arXiv",
  "versions": []
}