{
  "annotation_id": "371412b4-f0a3-4401-9d16-41e63c2899af",
  "date_created": "2026-03-02T18:02:19.905000Z",
  "date_modified": "2026-03-02T18:02:19.905000Z",
  "file_hash": "4795dce3af5ede6a0e3144e73372cbd78a29bcccfc0f46cc8e8a5478a79b5593",
  "private": false,
  "record": {
    "abstract": "The thermal entanglement in a two-qubit Heisenberg \\emph{XXZ} spin chain is\ninvestigated under an inhomogeneous magnetic field \\emph{b}. We show that the\nground-state entanglement is independent of the interaction of\n\\emph{z}-component $J_{z}$. The thermal entanglement at the fixed temperature\ncan be enhanced when $J_{z}$ increases. We strictly show that for any\ntemperature \\emph{T} and $J_{z}$ the entanglement is symmetric with respect to\nzero inhomogeneous magnetic field, and the critical inhomogeneous magnetic\nfield $b_{c}$ is independent of $J_{z}$. The critical magnetic field $B_{c}$\nincreases with the increasing $|b|$ but the maximum entanglement value that the\nsystem can arrive becomes smaller.",
    "arxiv_id": "quant-ph/0509009",
    "authors": [
      "Guo-Feng Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.034302",
    "journal_ref": "Phys. Rev. A 72, 034302 (2005)",
    "title": "Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an   inhomogeneous magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0509009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d7a09ef-578c-40a1-9d3e-5ae9cdf5e8de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}