{
  "annotation_id": "e6453a23-1708-406d-9bce-55357e58171c",
  "date_created": "2026-03-02T18:02:23.830000Z",
  "date_modified": "2026-03-02T18:02:23.830000Z",
  "file_hash": "051c44f8a536221cf56c6fcfdc6cf703d290ae9390f4f06313f9d1d3678c26e4",
  "private": false,
  "record": {
    "abstract": "In this work we define a formal notion of a quantum phase crossover for\ncertain Bethe ansatz solvable models. The approach we adopt exploits an exact\nmapping of the spectrum of a many-body integrable system, which admits an exact\nBethe ansatz solution, into the quasi-exactly solvable spectrum of a one-body\nSchr\\\"odinger operator. Bifurcations of the minima for the potential of the\nSchr\\\"odinger operator determine the crossover couplings. By considering the\nbehaviour of particular ground-state correlation functions, these may be\nidentified as quantum phase crossovers in the many-body integrable system with\nfinite particle number. In this approach the existence of the quantum phase\ncrossover is not dependent on the existence of a thermodynamic limit, rendering\napplications to finite systems feasible. We study two examples of bosonic\nHamiltonians which admit second-order crossovers.",
    "arxiv_id": "quant-ph/0602098",
    "authors": [
      "Clare Dunning",
      "Katrina E. Hibberd",
      "Jon Links"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1742-5468/2006/11/P11005",
    "journal_ref": "J Stat Mech: Theor. Exp. (2006) P11005",
    "title": "On quantum phase crossovers in finite systems",
    "url": "https://arxiv.org/abs/quant-ph/0602098"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f50dd067-fdf1-4769-bfe9-81e0e022f434",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}