{
  "abstract": "A universal characterization of non-equilibrium steady states in interacting quantum many-body systems remains one of the central challenges of statistical physics. Here, we address this problem for a paradigmatic model of diffusive interacting quantum matter---the boundary-driven XXZ spin chain with bulk dephasing---and derive, directly from its microscopic Lindblad dynamics, an emergent classical Macroscopic Fluctuation Theory (MFT) governing its large-scale fluctuations. Crucially, the resulting hydrodynamics carries a density-dependent diffusivity and mobility as the fingerprint of interactions. This effective description enables the exact computation of the stationary density profile, long-range correlations, and the full counting statistics of the current, in excellent agreement with tensor-network simulations. Our work demonstrates that noisy quantum many-body systems can realize the universality class of genuinely interacting diffusive matter, beyond the constant-diffusivity class of the symmetric simple exclusion process, and establishes MFT as a powerful universal framework for interacting diffusive quantum systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00159",
  "author_total": 7,
  "authors": [
    {
      "name": "Alexios Christopoulos"
    },
    {
      "name": "João Costa"
    },
    {
      "name": "Stefano Scopa"
    },
    {
      "name": "Jacopo De Nardis"
    },
    {
      "name": "Zala Lenarčič"
    },
    {
      "name": "Denis Bernard"
    },
    {
      "name": "Tony Jin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4g7rkqfz0rr1z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00159",
  "fulltext_url": null,
  "id": "4g7rkqfz0rr1z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00159",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.cond"
    ],
    [
      "hal",
      "1.phys.qphy"
    ],
    [
      "hal",
      "2.phys.cond.cm-sm"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7206167279",
  "pdf_url": "https://arxiv.org/pdf/2609.00159",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4g7rkqfz0rr1z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00159",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00159"
    },
    {
      "first_seen": "2026-11-04T12:20:53Z",
      "native_id": "hal-05851786",
      "source": "hal",
      "url": "https://hal.science/hal-05851786v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.cond",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Nonlinear Fluctuating Hydrodynamics from Interacting Noisy Quantum Matter",
  "title_text": "Nonlinear Fluctuating Hydrodynamics from Interacting Noisy Quantum Matter",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:44Z",
  "url": "https://research.draconitic.com/paper/4g7rkqfz0rr1z",
  "venue": "arXiv",
  "versions": []
}