{
  "annotation_id": "7545c2e5-0073-4e00-8165-5ec45a34ec38",
  "date_created": "2026-03-02T18:02:45.253000Z",
  "date_modified": "2026-03-02T18:02:45.253000Z",
  "file_hash": "030dff4d664234a742cb7f6c73a6dadb8378e0a8acabfb9dbf68091fe44eb8fc",
  "private": false,
  "record": {
    "abstract": "We consider a two-level system coupled to an environment that evolves\nnon-adiabatically. We present a non-perturbative method for determining the\npersistence amplitude whose phase contains all the corrections to Berry\u0027s phase\nproduced by the non-adiabatic motion of the environment. Specifically, it\nincludes the effects of transitions between the two energy levels to all orders\nin the non-adiabatic coupling. The problem of determining all non-adiabatic\ncorrections is reduced to solving an ordinary differential equation to which\nnumerical methods should provide solutions in a variety of situations. We apply\nour method to a particular example that can be realized as a magnetic resonance\nexperiment, thus raising the possibility of testing our results in the lab.",
    "arxiv_id": "quant-ph/9809008",
    "authors": [
      "Frank Gaitan"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "title": "Berry\u0027s Phase in the Presence of a Non-Adiabatic Environment",
    "url": "https://arxiv.org/abs/quant-ph/9809008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d978bb3-70c1-4875-bcc1-aefc69d06ac3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}