{
  "abstract": "We investigate dynamics of a linear chain of Rydberg atoms driven by a constrained four-body interaction, where two neighboring atoms are excited simultaneously from the electronic ground state $|0\\rangle$ to Rydberg state $|1\\rangle$ only when their closest neighbors are in $|0\\rangle$ state. By employing an ansatz for the many-body ground state, the low-energy Hamiltonian is given by a tridiagonal form. The many-body ground state energy, which scales linearly with the chain length $L$, is obtained analytically in the thermodynamic limit and agrees with the one of the exact diagonalization. Our model supports quantum many-body scar eigenstates that are nearly equally spaced energetically. The scar states overlap strongly with the basis state $|\\mathbf{0}\\rangle=|0\\cdots 0\\rangle$. We show that the overlap distribution is tilted by the state-dependent four-body interaction. This leads to non-ergodic dynamics, evidenced by the revival of the initial state. The four-body constrained model can be realized with Rydberg atoms in a Peierls array with alternating bond lengths, where atoms on the shorter and longer bonds experience Rydberg blockade and antiblockade, respectively. Our study provides a pathway to explore constrained non-ergodic dynamics with four-body interactions by combining the Rydberg blockade and antiblockade.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.20233",
  "author_total": 2,
  "authors": [
    {
      "name": "Tianyi Yan"
    },
    {
      "name": "Weibin Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vhfb2vq17ttj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.20233",
  "fulltext_url": null,
  "id": "2vhfb2vq17ttj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.20233",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "physics.atom-ph"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7203914414",
  "pdf_url": "https://arxiv.org/pdf/2608.20233",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2vhfb2vq17ttj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2608.20233",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.20233"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Nonthermal Dynamics of a One-dimensional Rydberg-atom Chain with Constraint Four-body Interactions",
  "title_text": "Nonthermal Dynamics of a One-dimensional Rydberg-atom Chain with Constraint Four-body Interactions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/2vhfb2vq17ttj",
  "venue": "arXiv",
  "versions": []
}