{
  "abstract": "Autocorrelation functions play a key role in the theoretical characterization of the dynamical properties of interacting many-body quantum systems. Recently, bringing together the eigenstate thermalization hypothesis and hydrodynamics, it was theoretically predicted that the relaxation of autocorrelators can be described by the \\textit{relaxation-overlap inequality}, which, when saturated, predicts a hierarchy of relaxation exponents for a set of operators that are easily identified and constructed. Here, we employ a trapped-ion quantum simulator to experimentally demonstrate it in the diffusive regime; to do so, we have extended the theory of the overlap-relaxation inequality to systems with multiple conservation laws. Our study thus opens the path to a thorough characterization of the relaxation to equilibrium and appearance of hydrodynamic behavior in quantum matter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29817",
  "author_total": 7,
  "authors": [
    {
      "name": "Jiaozi Wang"
    },
    {
      "name": "Manoj K. Joshi"
    },
    {
      "name": "Luca Capizzi"
    },
    {
      "name": "Rainer Blatt"
    },
    {
      "name": "Christian F. Roos"
    },
    {
      "name": "Leonardo Mazza"
    },
    {
      "name": "Dario Poletti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/24z7hsy479j0p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29817",
  "fulltext_url": null,
  "id": "24z7hsy479j0p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29817",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214373930",
  "pdf_url": "https://arxiv.org/pdf/2609.29817",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/24z7hsy479j0p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.29817",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29817"
    }
  ],
  "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"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Observation of universal hierarchical relaxation in a quantum simulator",
  "title_text": "Observation of universal hierarchical relaxation in a quantum simulator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/24z7hsy479j0p",
  "venue": "arXiv",
  "versions": []
}