{
  "annotation_id": "b586546e-22e3-44b4-bd8f-06782d6262e1",
  "date_created": "2026-03-02T18:02:16.527000Z",
  "date_modified": "2026-03-02T18:02:16.527000Z",
  "file_hash": "0942a93a8437ad4b106840b5b589fea6a47a349dcdd30ab58092ba71fd4218d5",
  "private": false,
  "record": {
    "abstract": "We describe a model for the interaction of the internal (spin) degree of\nfreedom of a quantum lattice-gas particle with an environmental bath. We impose\nthe constraints that the particle-bath interaction be fixed, while the state of\nthe bath is random, and that the effect of the particle-bath interaction be\nparity invariant. The condition of parity invariance defines a subgroup of the\nunitary group of actions on the spin degree of freedom and the bath. We derive\na general constraint on the Lie algebra of the unitary group which defines this\nsubgroup, and hence guarantees parity invariance of the particle-bath\ninteraction. We show that generalizing the quantum lattice gas in this way\nproduces a model having both classical and quantum discrete random walks as\ndifferent limits. We present preliminary simulation results illustrating the\nintermediate behavior in the presence of weak quantum noise.",
    "arxiv_id": "quant-ph/0507022",
    "authors": [
      "Peter J. Love",
      "Bruce M. Boghosian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "From Dirac to Diffusion: Decoherence in Quantum Lattice Gases",
    "url": "https://arxiv.org/abs/quant-ph/0507022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed81194f-b158-4a1a-8106-add5c99783a4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}