{
  "id": "cond-mat/0312011",
  "version": "v1",
  "published": "2003-11-30T14:02:26.000Z",
  "updated": "2003-11-30T14:02:26.000Z",
  "title": "Landau-Zener transition in a multilevel system. An exact result",
  "authors": [
    "A. V. Shytov"
  ],
  "comment": "3 pages, 2 figures",
  "journal": "Phys. Rev. A 70, 052708(2004)",
  "doi": "10.1103/PhysRevA.70.052708",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We study the S-matrix for the transitions at an avoided crossing of several energy levels, which is a multilevel generalization of the Landau-Zener problem. We demonstrate that, by extending the Schroedinger evolution to complex time, one can obtain an exact answer for some of the transition amplitudes. Similar to the Landau-Zener case, our result covers both the adiabatic regime (slow evolution.) and the diabatic regime (fast evolution). The form of the exact transition amplitude coincides with that obtained in a sequential pairwise level crossing approximation, in accord with the conjecture of Brundobler and Elser.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-30T14:02:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau-zener transition",
      "multilevel system",
      "exact result",
      "exact transition amplitude coincides",
      "sequential pairwise level crossing approximation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}