{
  "annotation_id": "85ef8817-ae3c-476d-9a5b-1c77ef70b338",
  "date_created": "2026-03-02T18:02:06.217000Z",
  "date_modified": "2026-03-02T18:02:06.217000Z",
  "file_hash": "5745d9c2111db70dc8469d9772159a3cdaf25993ed31798dce7b895a1e139888",
  "private": false,
  "record": {
    "abstract": "We compare and contrast the entanglement in the ground state of two\nJahn-Teller models. The $E\\otimes\\beta$ system models the coupling of a\ntwo-level electronic system, or qubit, to a single oscillator mode, while the\n$E\\otimes\\epsilon$ models the qubit coupled to two independent, degenerate\noscillator modes. In the absence of a transverse magnetic field applied to the\nqubit, both systems exhibit a degenerate ground state. Whereas there always\nexists a completely separable ground state in the $E\\otimes\\beta$ system, the\nground states of the $E\\otimes\\epsilon$ model always exhibit entanglement. For\nthe $E\\otimes\\beta$ case we aim to clarify results from previous work, alluding\nto a link between the ground state entanglement characteristics and a\nbifurcation of a fixed point in the classical analogue. In the\n$E\\otimes\\epsilon$ case we make use of an ansatz for the ground state. We\ncompare this ansatz to exact numerical calculations and use it to investigate\nhow the entanglement is shared between the three system degrees of freedom.",
    "arxiv_id": "quant-ph/0402016",
    "authors": [
      "Andrew P. Hines",
      "Christopher M. Dawson",
      "Ross H. McKenzie",
      "G. J. Milburn"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.022303",
    "journal_ref": "Phys. Rev. A 70, 022303 (2004)",
    "title": "Entanglement and bifurcations in Jahn-Teller models",
    "url": "https://arxiv.org/abs/quant-ph/0402016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b640a45-cd69-4b85-98c4-7bdf02f5279a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}