{
  "annotation_id": "c480886f-c1d2-4f18-b585-e6b444f95a78",
  "date_created": "2026-02-17T05:53:12.444000Z",
  "date_modified": "2026-02-17T05:53:12.444000Z",
  "file_hash": "5e944604234d234ad7fa4252ac5110119479629a0cb487a132590a63c783a59b",
  "private": false,
  "record": {
    "abstract": "We introduce novel integrable stochastic processes associated with the $D_2$ quantum group, which can be decomposed into two XXX spin chains (or two symmetric simple exclusion processes). We establish the integrability of the model under three types of boundary conditions (periodic, twisted, and open boundaries), and present its exact solution, including the spectrum, eigenstates, and some observables.",
    "arxiv_id": "2601.07265",
    "authors": [
      "Guang-Liang Li",
      "Xin Zhang",
      "Junpeng Cao",
      "Wen-Li Yang",
      "Yupeng Wang"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Integrable Stochastic Processes Associated with the $D_2$ Algebra",
    "url": "https://arxiv.org/abs/2601.07265",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4a553a1-6ffa-452b-b0ea-084f2ede6319",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}