{
  "annotation_id": "98906dec-288f-49d2-ac87-15971f747539",
  "date_created": "2026-03-02T18:01:48.886000Z",
  "date_modified": "2026-03-02T18:01:48.886000Z",
  "file_hash": "a04dcefa5bf937d6ce47929b025f5d1dabd65e2ae65e74688a15e9a63223da96",
  "private": false,
  "record": {
    "abstract": "In this paper we study the time evolution of a class of two-level systems\ndriven by periodic fields in terms of new convergent perturbative expansions\nfor the associated propagator U(t). The main virtue of these expansions is that\nthey do not contain secular terms, leading to a very convenient method for\nquantitatively studying the long-time behaviour of that systems. We present a\ncomplete description of an algorithm to numerically compute the perturbative\nexpansions. In particular, we applied the algorithm to study the case of an\nac-dc field (monochromatic interaction), exploring various situations and\nshowing results on (time-dependent) observable quantities, like transition\nprobabilities. For a simple ac field, we analised particular situations where\nan approximate effect of dynamical localisation is exhibited by the driven\nsystem. The accuracy of our calculations was tested measuring the unitarity of\nthe propagator U(t), resulting in very small deviations, even for very long\ntimes compared to the cycle of the driving field.",
    "arxiv_id": "quant-ph/0202110",
    "authors": [
      "J. C. A. Barata",
      "D. A. Cortez"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph",
      "physics.optics"
    ],
    "doi": "10.1016/S0375-9601(02)01076-9",
    "title": "Time Evolution of Two-Level Systems Driven by Periodic Fields",
    "url": "https://arxiv.org/abs/quant-ph/0202110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "20c23ac9-8e6d-4b9a-8ab4-539d7db06606",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}