{
  "abstract": "We derive the finite-temperature characteristic function of work (CFW) for a driven $O(N)$ Gaussian field theory and obtain closed-form expressions for all zero-temperature excess-work cumulants. For gapped protocols, we use adiabatic perturbation theory (APT) to derive the $τ_Q^{-2}$ scaling for protocols with a nonzero first derivative at either boundary, where $τ_Q$ is the protocol duration; smoother boundaries lead to faster decay. For power-law protocols approaching the critical point with exponent $p$, we determine the competition between critical excitations and the regular contribution. The $n$th cumulant's critical contribution follows Kibble--Zurek (KZ) scaling $τ_Q^{-p(d+n)/(p+2)}$ for $d+n<2p+4$, acquires a logarithmic correction $τ_Q^{-2p}\\logτ_Q$ at $d+n=2p+4$, and scales as $τ_Q^{-2p}$ above this condition, where $d$ is the spatial dimension. This analytical study of the APT--KZ crossover in a solvable model provides a basis for studying their competition in interacting field theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36476",
  "author_total": 3,
  "authors": [
    {
      "name": "Yanbo Qiao"
    },
    {
      "name": "Ruohan Xu"
    },
    {
      "name": "H. T. Quan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3nq5ft42apv25.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36476",
  "fulltext_url": null,
  "id": "3nq5ft42apv25",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36476",
  "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",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7214912937",
  "pdf_url": "https://arxiv.org/pdf/2609.36476",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3nq5ft42apv25.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.36476",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36476"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Crossover of Scaling Behaviors of Work Cumulants in a Driven Gaussian Field Theory",
  "title_text": "Crossover of Scaling Behaviors of Work Cumulants in a Driven Gaussian Field Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/3nq5ft42apv25",
  "venue": "arXiv",
  "versions": []
}