{
  "annotation_id": "51283588-c8b5-41e8-8b39-174c239b8b85",
  "date_created": "2026-03-02T18:02:33.641000Z",
  "date_modified": "2026-03-02T18:02:33.641000Z",
  "file_hash": "17e15309b763725639abd5a9c35dbe5107a89fcb18c6400b2c045c1695bf9ad8",
  "private": false,
  "record": {
    "abstract": "A simple Mathematica code based on the differential realization of hard-core\nboson operators for finding exact solutions of the periodic-N spin-1/2 systems\nwith or beyond nearest neighbor interactions is proposed, which can easily be\nused to study general spin-1/2 interaction systems. As an example, The code is\napplied to study XXX spin-1/2 chain with nearest neighbor interaction in a\nuniform transverse field. It shows that there are [N/2] level-crossing points\nin the ground state, where N is the periodic number of the system and [x]\nstands for the integer part of x, when the interaction strength and magnitude\nof the magnetic field satisfy certain conditions. The quantum phase\ntransitional behavior in the ground state of the system in the thermodynamic\nlimit is also studied.",
    "arxiv_id": "quant-ph/0702030",
    "authors": [
      "Feng Pan",
      "Xin Guan",
      "Nan Ma",
      "Wen-Juan Han",
      "J. P. Draayer"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1088/0953-8984/19/38/386208",
    "title": "Exact diagonalization for spin-1/2 chains and the first order quantum   phase transitions of the XXX chain in a uniform transverse field",
    "url": "https://arxiv.org/abs/quant-ph/0702030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "875bac78-dda0-4076-84de-1ab02e54ffba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}