{
  "abstract": "We study growth quenches, which are local quenches that may gradually destabilize a false vacuum in certain kinetic constrained quantum lattice models, such as the East-West model. We point out a formal analogy with the dynamics of a local operator in the Heisenberg picture. Exploiting this analogy, we obtain several results on growth quenches by adapting operator-dynamics concepts and methods. First, applying the Krylov approach (recursion method), we conjecture the linear growth of Lanzcos coefficients in generic quenches, $a_m \\sim νm$ (diagonal), and $b_m \\sim αm$ (off-diagonal), extending an operator growth hypothesis. We show that the growth quench dynamics is localized in both Krylov and Fock spaces when $|ν| > 2 α$, and derive a bound for the growth quench analogue of Lyapunov exponent $λ_L \\le \\sqrt{4 α^2 - ν^2}$ when $|ν| < 2 α$. Second, we realize the Fock localization in large $N$ solvable growth quenches inspired by Sachdev-Ye-Kitaev (SYK) models. The bound on Lyapunov exponent is saturated in large-$q$ SYK grow quench. By contrast, the growth quench is almost always Fock localized in a nonrandom all-to-all growth quench amenable to semiclassics. Finally, in the 1D East-West model, we interpret Fock space cage states as the existence of a conserved charge. We show that the latter has ballistic transport due to current conservation. Moreover, adding hopping with a fine-tuned amplitude induces a partial localization due to a flat band. Our work suggest growth quenches as a promising approach to realize non-equilibrium coherent phenomena in many-body systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 204310 (2026)",
  "arxiv": "2605.23874",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiangyu Cao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f5hyskx6rh3tp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.23874",
  "fulltext_url": null,
  "id": "f5hyskx6rh3tp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.23874",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.23874",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f5hyskx6rh3tp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2605.23874",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.23874"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Quantum Quenches that Resemble Operator Growth",
  "title_text": "Quantum Quenches that Resemble Operator Growth",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/f5hyskx6rh3tp",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/4k2f-xvq3",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}