{
  "annotation_id": "1486f09d-4373-492a-b33d-07681866a414",
  "date_created": "2026-03-02T18:01:39.145000Z",
  "date_modified": "2026-03-02T18:01:39.145000Z",
  "file_hash": "423de1d20d1df51c9b73a65d3d1aeb2e02318ad8e0f62dde86357cffc2cfd422",
  "private": false,
  "record": {
    "abstract": "We derive a well-behaved nonlinear extension of the non-relativistic\nLiouville-von Neumann dynamics driven by maximal entropy production with\nconservation of energy and probability. The pure state limit reduces to the\nusual Schroedinger evolution, while mixtures evolve towards maximum entropy\nequilibrium states with canonical-like probability distributions on energy\neigenstates. The linear, near-equilibrium limit is found to amount to an\nessentially exponential relaxation to thermal equilibrium; a few elementary\nexamples are given. In addition, the modified dynamics is invariant under the\ntime-independent symmetry group of the hamiltonian, and also invariant under\nthe special Galilei group provided the conservation of total momentum is\naccounted for as well. Similar extensions can be generated for, e.g.,\nnonextensive systems better described by a Tsallis q-entropy.",
    "arxiv_id": "quant-ph/0007111",
    "authors": [
      "S. Gheorghiu-Svirschevski"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.63.022105",
    "journal_ref": "Phys.Rev. A63 (2001) 022105",
    "title": "Nonlinear quantum evolution with maximal entropy production",
    "url": "https://arxiv.org/abs/quant-ph/0007111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aefbe5b0-6c50-4094-9230-49ee4adfd6dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}