{
  "abstract": "Understanding how complex systems transition between order and chaos is a central challenge of nonequilibrium physics. While weak perturbations of classical integrable systems give rise to a mixed phase space of coexisting regular and chaotic trajectories, analogous behavior in interacting quantum many-body systems has remained elusive. Here we develop and experimentally implement a hybrid quantum-classical feedback protocol that autonomously discovers and stabilizes long-lived regular trajectories in a superconducting quantum processor. Each iteration combines short-time quantum evolution with classical optimization that projects the dynamics back onto a low-entanglement variational manifold, effectively distilling coherence from chaotic evolution. The stabilized trajectories reveal a quantum many-body mixed phase space emerging from nonlinear variational dynamics, without a direct analogue in classical or few-body quantum systems. Our results establish a versatile framework for algorithmic discovery and control of coherent dynamics previously inaccessible to experiment.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Nature Physics (2026)",
  "arxiv": "2607.14223",
  "author_total": 12,
  "authors": [
    {
      "name": "Hang Dong"
    },
    {
      "name": "Jie Ren"
    },
    {
      "name": "Andrew Hallam"
    },
    {
      "name": "Han Wang"
    },
    {
      "name": "Zhengyi Cui"
    },
    {
      "name": "Yiren Zou"
    },
    {
      "name": "Junlin Wang"
    },
    {
      "name": "Hekang Li"
    },
    {
      "name": "Qiujiang Guo"
    },
    {
      "name": "Zhen Wang"
    },
    {
      "name": "Lei Ying"
    },
    {
      "name": "Zlatko Papic"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/06cfyywpcbbqa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.14223",
  "fulltext_url": null,
  "id": "06cfyywpcbbqa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.14223",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.14223",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/06cfyywpcbbqa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2607.14223",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.14223"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Quantum many-body mixed phase space revealed by hybrid feedback control",
  "title_text": "Quantum many-body mixed phase space revealed by hybrid feedback control",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/06cfyywpcbbqa",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1038/s41567-026-03431-z",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}