{
  "abstract": "The Comment by J. Sirker [arXiv:2511.16509] raises an important issue concerning dynamical quantum phase transitions (DQPTs) in noisy and mixed-state dynamics, namely that the extension of the Loschmidt echo from pure to mixed states is not unique and different extensions preserve different physical properties. The Comment examines a noise-averaged mixed-state fidelity and shows that DQPTs cannot occur for any nonzero noise when the return rate is defined through the Uhlmann-Bures fidelity of the noise-averaged density matrix. This conclusion is valid for the mixed-state fidelity observable discussed in the Comment and is consistent with prior studies [https://doi.org/10.1103/PhysRevB.109.L180303, arXiv:2504.03005]. Our article [https://doi.org/10.1103/mkll-nd46] investigated a different operationally defined quantity: the logarithm of the Loschmidt echo obtained by first determining the noise-averaged excitation probabilities generated during the noisy ramp and then performing a coherent post-ramp evolution of a pure state constructed from these noise-averaged transition probabilities. As emphasized explicitly in our original publication, this observable is defined through an operational assumption and is not the same quantity as the mixed-state fidelity. The nonanalyticities reported in Ref. [https://doi.org/10.1103/mkll-nd46] therefore concern this two-stage operational protocol and should not be identified with zeros of the Uhlmann-Bures fidelity. There is therefore no direct contradiction between the theorem established for the Uhlmann-Bures return rate and the conclusions obtained for the different operational protocol studied in Ref. [https://doi.org/10.1103/mkll-nd46].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. B 114, 206302 (2026)",
  "arxiv": "2606.28892",
  "author_total": 4,
  "authors": [
    {
      "name": "S. Ansari"
    },
    {
      "name": "R. Jafari"
    },
    {
      "name": "A. Akbari"
    },
    {
      "name": "M. Abdi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/epmn65z6hh2th.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28892",
  "fulltext_url": null,
  "id": "epmn65z6hh2th",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.28892",
  "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",
      "cond-mat.stat-mech"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.28892",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/epmn65z6hh2th.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2606.28892",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28892"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Reply to Comment on \"Scaling and universality at noisy quench dynamical quantum phase transitions\"",
  "title_text": "Reply to Comment on \"Scaling and universality at noisy quench dynamical quantum phase transitions\"",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/epmn65z6hh2th",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/j7bd-hl5g",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}