{
  "abstract": "We study the complex eigenvalue statistics of the asymmetric quantum baker map with partial projective openings. The classical asymmetric baker map, with its discontinuity at $q=2/3$, is fully chaotic, has no reflection symmetry, and provides a clean setting with tunable escape rate and fractal repeller dimension. We consider three distinct opening geometries in position space: localized (contiguous channels), random, and uniform (equispaced channels), all controlled by a tunable amplitude reflectivity parameter $ρ$ that interpolates between the fully open ($ρ=0$) and the closed ($ρ=1$) limits. We use the partially truncated circular unitary ensemble (PTCUE) as the random matrix theory benchmark. The main focus is on the joint distribution of the complex spacing ratio $z$, defined as the ratio of the distances from an eigenvalue to its nearest and next-nearest neighbors in the complex plane. We find a smooth crossover from a quasi-1D spectral regime, where eigenvalues cluster near the unit circle and the phase distribution of $z$ is peaked, to a two-dimensional Ginibre-like regime, where the distribution becomes nearly uniform and level repulsion is fully developed. Both the number of open channels $M$ and the reflectivity $ρ$ modulate this crossover, and $ρ$ provides an additional continuous control even at fixed opening size. All three opening models converge to PTCUE statistics at large $M$, while differences are most pronounced for the localized model at small $M$. No evidence of an abrupt transition is found. This crossover which suggests a universal behavior, has deep consequences for open quantum and wave-chaotic experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. E 114, 054203 (2026)",
  "arxiv": "2607.07878",
  "author_total": 5,
  "authors": [
    {
      "name": "Leonardo Ermann"
    },
    {
      "name": "Pablo Sesin"
    },
    {
      "name": "Alejandro M. F. Rivas"
    },
    {
      "name": "Pablo D. Bergamasco"
    },
    {
      "name": "Gabriel G. Carlo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cyv5fqdazqcgx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.07878",
  "fulltext_url": null,
  "id": "cyv5fqdazqcgx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.07878",
  "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"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.07878",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cyv5fqdazqcgx.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:24Z",
      "native_id": "2607.07878",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.07878"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Complex spacing ratio statistics in the partially open asymmetric quantum baker map",
  "title_text": "Complex spacing ratio statistics in the partially open asymmetric quantum baker map",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/cyv5fqdazqcgx",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/q5fx-y7zr",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}