{
  "abstract": "In a quantum walk, the first-detection return probability (FDRP) characterizes salient features, determining whether the quantum walk is transient or recurrent. We study the FDRP of quantum walks on a chain where the initial site is stroboscopically monitored by a detector and the walker performs long-range hopping between sites. We assume that the hopping strength decays with the distance $d$ as $d^{-α}$ and $α\\geq 0$ and show that the power-law exponent $α$ critically determines the behavior of the FDRP. The value $α=1$ separates recurrent ($α<1$) from transient ($α>1$) quantum walks through a continuous phase transition in the total detection probability. For $α<1$, strong long-range hopping induces localization, resulting in unit total detection probability. Instead, for $α>1$ the long-range walk is transient and the return probability decays algebraically as a function of time as $t^{-β}$. The associated decay exponent $β$ features nonanalytic points as a function of $α$. Such singularities are not exclusively determined by the low-energy spectrum, but are caused by the interference between infrared and ultraviolet energy modes induced by projective measurements, signalling the emergence of critical behavior intrinsic to the non-unitary dynamics. These dynamics are solely controlled by tuning the long-range exponent $α$ and can thus be experimentally probed in atomic and molecular systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10510",
  "author_total": 4,
  "authors": [
    {
      "name": "Sayan Roy"
    },
    {
      "name": "Shamik Gupta"
    },
    {
      "name": "Giovanna Morigi"
    },
    {
      "name": "Gabriele Perfetto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8tvm6ct23maj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10510",
  "fulltext_url": null,
  "id": "b8tvm6ct23maj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10510",
  "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.other"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7212158543",
  "pdf_url": "https://arxiv.org/pdf/2609.10510",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b8tvm6ct23maj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.10510",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10510"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Phase transitions in first-detection statistics of monitored long-range quantum walks",
  "title_text": "Phase transitions in first-detection statistics of monitored long-range quantum walks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/b8tvm6ct23maj",
  "venue": "arXiv",
  "versions": []
}