{
  "abstract": "We study the one- and two-boson energy subspaces of finite open Bose--Hubbard chains with Fibonacci-modulated hopping and zero on-site potential. Their spectra exhibit a hierarchy of bands and gaps, and a critical zero-energy mode for odd lengths, in agreement with prior research. For the singe-excitation subspace we find two families of length-invariant finite-energy states localized at the left cluster boundary. For the two-boson subspace, we report both doublon and separated-pair excitations in the form of Tamm/Shockley states localized near either end. In particular, the right-edge doublon states occur across all Fibonacci generations whereas the left-side states appear every second generation. We check numerically that the second-order perturbation theory accounts well for the structure of the spectrum and the edge states in the doublon subspace in the strong-coupling regime. The results are useful for future explorations of many-body physics beyond numerical tractability, specifically using near-term Josephson quantum simulators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04777",
  "author_total": 3,
  "authors": [
    {
      "name": "G. P. Fedorov"
    },
    {
      "name": "E. E. Konopleva"
    },
    {
      "name": "O. V. Astafiev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8c6n03kt7vgr9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04777",
  "fulltext_url": null,
  "id": "8c6n03kt7vgr9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04777",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "physics.atm-clus"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04777",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8c6n03kt7vgr9.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04777",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04777"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.atm-clus",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Bulk and edge states in Fibonacci-Bose-Hubbard clusters",
  "title_text": "Bulk and edge states in Fibonacci-Bose-Hubbard clusters",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8c6n03kt7vgr9",
  "venue": "arXiv",
  "versions": []
}