{
  "abstract": "We investigate dynamical quantum phase transitions (DQPTs) generated by a two-step linear quench with a finite waiting time at the equilibrium critical point. The waiting stage leads to the accumulation of a dynamical phase that depends on the waiting time and directly reflects the critical spectral structure. In the transverse Ising chain, this accumulated phase modifies the critical structure of DQPTs from a single-critical-mode (SCM) regime to a multiple-critical-mode (MCM) regime. We analytically and numerically determine the boundary between the two regimes. Along this boundary, the waiting time approaches a constant in the sudden-quench limit, whereas in the slow-quench limit it follows Kibble--Zurek (KZ) scaling with the quench time. In the SCM regime, the rate function exhibits a conventional linear singularity, $r(t)-r(t^{*})\\propto |t-t^{*}|^α$, with the critical exponent $α=1$ near the critical time. At the SCM--MCM boundary, this exponent changes to $α=1/2$, leading to a divergent first derivative of the rate function. Additional discrete parameter lines with $α=1/2$ also appear within the MCM regime in the parameter plane spanned by the waiting and quench times. Our findings establish a direct connection between the accumulated dynamical phase and the critical structure of DQPTs, further supported by an extended Su--Schrieffer--Heeger (SSH) model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14591",
  "author_total": 4,
  "authors": [
    {
      "name": "Han-Chuan Kou"
    },
    {
      "name": "Peng Li"
    },
    {
      "name": "Zhi-Han Zhang"
    },
    {
      "name": "Zhen-Yu Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5bpeqetj6geaf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14591",
  "fulltext_url": null,
  "id": "5bpeqetj6geaf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14591",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7221783061",
  "pdf_url": "https://arxiv.org/pdf/2610.14591",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5bpeqetj6geaf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.14591",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14591"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Exploring Dynamical Quantum Phase Transitions via the Dynamical Phase Accumulated at an Equilibrium Critical Point",
  "title_text": "Exploring Dynamical Quantum Phase Transitions via the Dynamical Phase Accumulated at an Equilibrium Critical Point",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/5bpeqetj6geaf",
  "venue": "arXiv",
  "versions": []
}