{
  "annotation_id": "9b995e6a-941b-4901-9fe3-b8bedfd97877",
  "date_created": "2026-03-02T18:02:41.097000Z",
  "date_modified": "2026-03-02T18:02:41.097000Z",
  "file_hash": "ce93efeb43a616f666a9f48c2b16230c9757e2dd4a62a49eef1454c2fd48d39b",
  "private": false,
  "record": {
    "abstract": "The generic Berry phase scenario in which a two-level system is coupled to a\nsecond system whose dynamical coordinate is slowly-varying is generalized to\nallow for stochastic evolution of the slow system. The stochastic behavior is\nproduced by coupling the slow system to a heat resevoir which is modeled by a\nbath of harmonic oscillators initially in equilibrium at temperature T, and\nwhose spectral density has a bandwidth which is small compared to the\nenergy-level spacing of the fast system. The well-known energy-level shifts\nproduced by Berry\u0027s phase in the fast system, in conjunction with the\nstochastic motion of the slow system, leads to a broadening of the fast system\nenergy-levels. In the limit of strong damping and sufficiently low temperature,\nwe determine the degree of level-broadening analytically, and show that the\nslow system dynamics satisfies a Langevin equation in which Lorentz-like and\nelectric-like forces appear as a consequence of geometrical effects. We also\ndetermine the average energy-level shift produced in the fast system by this\nmechanism.",
    "arxiv_id": "quant-ph/9803026",
    "authors": [
      "Frank Gaitan"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.58.1665",
    "title": "Berry\u0027s Phase in the Presence of a Stochastically Evolving Environment:   A Geometric Mechanism for Energy-Level Broadening",
    "url": "https://arxiv.org/abs/quant-ph/9803026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "70f2af8e-fbe6-470c-96b1-a843a87aa10d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}