{
  "abstract": "A new understanding of criticality in systems described by quadratic bosonic Hamiltonians (QBHs) ties the emergence of long-range correlations to boundaries of dynamical, not thermodynamical, stability in parameter space. This separation occurs because the solution of the Heisenberg equations of motion is determined by an auxiliary pseudo-Hermitian dynamical system. The boundary points of a region of dynamical stability can be either exceptional points, generically associated with long-range correlations, or Krein collisions, where correlations can be either long- or short-range. We investigate the interplay of this landscape of possibilities with band topology and boundary physics, by relying on both specific examples and general arguments. The examples stem from a two-parameter, thermodynamically unstable family of QBHs obtained from the bosonic Su-Schrieffer-Heeger model by breaking particle conservation while preserving a chiral pseudo-symmetry. As a function of an interpolation parameter, distinct regions emerge within a fixed dynamical-stability phase, which prove to be topologically trivial and nontrivial, respectively. The topological phase transition is a line of Krein collisions, which coincides with the closing of a band gap at zero and causes the localization length of the topologically mandated boundary zero modes to diverge before disappearing. We show that the chiral pseudo-symmetry induces, despite the broken particle-number symmetry, enough structure on its associated dynamical matrices to support a topological classification and a bulk-boundary correspondence, independently of dynamical stability. This strongly suggests that, for non-interacting bosons, topological physics extracted from basic index theory is insensitive to dynamical stability and, a posteriori, criticality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Appl. Phys. 140, 124401 (2026)",
  "arxiv": "2607.01334",
  "author_total": 3,
  "authors": [
    {
      "name": "Mariam Ughrelidze"
    },
    {
      "name": "Lorenza Viola"
    },
    {
      "name": "Emilio Cobanera"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4yqh8sy5rcqga.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.01334",
  "fulltext_url": null,
  "id": "4yqh8sy5rcqga",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.01334",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2607.01334",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4yqh8sy5rcqga.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2607.01334",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.01334"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Decoupling band topology from criticality in bosonic systems",
  "title_text": "Decoupling band topology from criticality in bosonic systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/4yqh8sy5rcqga",
  "venue": "arXiv",
  "versions": []
}