{
  "annotation_id": "74ffb343-72d1-446c-97a3-5e2332fbc6ca",
  "date_created": "2026-03-02T18:01:52.227000Z",
  "date_modified": "2026-03-02T18:01:52.227000Z",
  "file_hash": "10805a78ff6404592dbb315f9584546eb56688bc394622b1dcdf6368928426bb",
  "private": false,
  "record": {
    "abstract": "We present a general theory for adiabatic evolution of quantum states as\ngoverned by the nonlinear Schrodinger equation, and provide examples of\napplications with a nonlinear tunneling model for Bose-Einstein condensates.\nOur theory not only spells out conditions for adiabatic evolution of\neigenstates, but also characterizes the motion of non-eigenstates which cannot\nbe obtained from the former in the absence of the superposition principle. We\nfind that in the adiabatic evolution of non-eigenstates, the Aharonov-Anandan\nphases play the role of classical canonical actions.",
    "arxiv_id": "quant-ph/0205152",
    "authors": [
      "Jie Liu",
      "Biao Wu",
      "Qian Niu"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.soft"
    ],
    "doi": "10.1103/PhysRevLett.90.170404",
    "journal_ref": "Phys. Rev. Lett. 90 (2003) 170404",
    "title": "Adiabatic Theory of Nonlinear Evolution of Quantum States",
    "url": "https://arxiv.org/abs/quant-ph/0205152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27b6a1cf-1899-44a2-a371-1d174beb36d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}