{
  "annotation_id": "90245b9a-86ee-48ae-9db2-518e46c41b56",
  "date_created": "2026-03-02T18:01:55.524000Z",
  "date_modified": "2026-03-02T18:01:55.524000Z",
  "file_hash": "e870d6ade8b8927b6b474219df184221c35af1493ed0c57fa37b272673d45e2e",
  "private": false,
  "record": {
    "abstract": "We analyze the entanglement of SU(2)-invariant density matrices of two spins\n$\\vec S_{1}$, $\\vec S_{2}$ using the Peres-Horodecki criterion. Such density\nmatrices arise from thermal equilibrium states of isotropic spin systems. The\npartial transpose of such a state has the same multiplet structure and\ndegeneracies as the original matrix with eigenvalue of largest multiplicity\nbeing non-negative. The case $S_{1}=S$, $S_{2}=1/2$ can be solved completely\nand is discussed in detail with respect to isotropic Heisenberg spin models.\nMoreover, in this case the Peres-Horodecki ciriterion turns out to be a\nsufficient condition for non-separability. We also characterize SU(2)-invariant\nstates of two spins of length 1.",
    "arxiv_id": "quant-ph/0212114",
    "authors": [
      "John Schliemann"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevA.68.012309",
    "journal_ref": "Phys. Rev. A 68, 012309 (2003)",
    "title": "Entanglement in SU(2)-invariant quantum spin systems",
    "url": "https://arxiv.org/abs/quant-ph/0212114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "649f7141-faf4-4565-ba30-373fb50ea9e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}