{
  "annotation_id": "30adc0b1-6fa9-4e7f-a45e-bedd36535b90",
  "date_created": "2026-02-17T05:53:08.172000Z",
  "date_modified": "2026-02-17T05:53:08.172000Z",
  "file_hash": "0be118c347b4d518454a486cba8c5a51c9e5f35385546fe83f8f3a02c873efc8",
  "private": false,
  "record": {
    "abstract": "We present a unified geometric approach for spin-1 systems that connects seemingly distinct geometric representations such as the nematic director, the Cartesian representation and the Majorana stellar representation. Starting from a product state of two distinguishable spin-1/2 particles, we provide a direct way to capture crucial geometric information. This perspective reveals the fundamental interplay between subspace projection and geometric constraints. This approach effectively maps magnetic solitons onto a kink model, allowing us to derive their equations of motion, a task not readily achieved with traditional methods. This simplified dynamical description reveals that the novel transition of these solitons in a harmonic trap corresponds to a fundamental transformation between kink and dip structures in the underlying geometry.",
    "arxiv_id": "2601.06936",
    "authors": [
      "Jiangnan Biguo",
      "Rourou Ma"
    ],
    "categories": [
      "cond-mat.quant-gas"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Unified Geometric Perspective for Spin-1 Systems: Bridging Nematic Director and Majorana Stars",
    "url": "https://arxiv.org/abs/2601.06936",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd40ff1d-79f7-4012-b1fe-fdae2d3943fb",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}