{
  "annotation_id": "211b71fc-1e88-4004-9024-75368ff31191",
  "date_created": "2026-03-02T18:02:34.496000Z",
  "date_modified": "2026-03-02T18:02:34.496000Z",
  "file_hash": "9553a43cf34f0f664f97a0adc681b8feb3ba90070777709152914c941e76d620",
  "private": false,
  "record": {
    "abstract": "We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally\nto independent thermal baths of different temperature. The analysis is carried\nout within the framework of the theory of open systems by means of appropriate\nquantum master equations. The standard microscopic derivation of the\nweak-coupling Lindblad equation in the secular approximation is considered, and\nshown to be inadequate for the description of stationary nonequilibrium\nproperties like a non-vanishing energy current. Furthermore, we derive an\nalternative master equation that is capable to describe a stationary energy\ncurrent and, at the same time, leads to a completely positive dynamical map.\nThis paves the way for efficient numerical investigations of heat transport in\nlarger systems based on Monte Carlo wave function techniques.",
    "arxiv_id": "quant-ph/0703048",
    "authors": [
      "Hannu Wichterich",
      "Markus J. Henrich",
      "Heinz-Peter Breuer",
      "Jochen Gemmer",
      "Mathias Michel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.76.031115",
    "journal_ref": "Phys. Rev. E 76, 031115 (2007)",
    "title": "Modeling heat transport through completely positive maps",
    "url": "https://arxiv.org/abs/quant-ph/0703048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d9421956-a566-4f18-9a34-15bb39c95033",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}