{
  "annotation_id": "841f64df-c280-4824-acc8-2f507f9ba497",
  "date_created": "2026-03-02T18:02:19.495000Z",
  "date_modified": "2026-03-02T18:02:19.495000Z",
  "file_hash": "c4070cd9198fe026ffd32ab0583bd8154a84605a021dfc968d0e450b6189de2a",
  "private": false,
  "record": {
    "abstract": "The paper studies the structure of high-order adiabatic approximation of a\nwave function for slowly changing Hamiltonians. A constructive technique for\nexplicit separation of fast and slow components of the wave function is\ndeveloped. The fast components are determined by dynamic phases, while the slow\ncomponents are given by asymptotic series evaluated by means of an explicit\nrecurrent procedure. It is shown that the slow components represent\nquasiadiabatic states, which play conceptually the same role as energy levels\nin stationary systems or Floquet states in time-periodic systems. As an\napplication, we derive high-order asymptotic expressions for quasienergies of\nperiodic Hamiltonians. As examples, a two-state (spin-1/2) system in\nperiodically changing magnetic filed, and a particle in moving square potential\nwell are studied.",
    "arxiv_id": "quant-ph/0509086",
    "authors": [
      "Alexei A. Mailybaev"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "title": "Structure of high-order quantum adiabatic approximation",
    "url": "https://arxiv.org/abs/quant-ph/0509086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fe86a9c8-e85f-4014-866b-fdc35d3b5c1d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}