{
  "id": "quant-ph/0205152",
  "version": "v2",
  "published": "2002-05-23T22:32:10.000Z",
  "updated": "2002-08-02T17:05:42.000Z",
  "title": "Adiabatic Theory of Nonlinear Evolution of Quantum States",
  "authors": [
    "Jie Liu",
    "Biao Wu",
    "Qian Niu"
  ],
  "comment": "substantial revision, 5 pages and 3 figures",
  "journal": "Phys. Rev. Lett. 90 (2003) 170404",
  "doi": "10.1103/PhysRevLett.90.170404",
  "categories": [
    "quant-ph",
    "cond-mat.soft"
  ],
  "abstract": "We present a general theory for adiabatic evolution of quantum states as governed by the nonlinear Schrodinger equation, and provide examples of applications with a nonlinear tunneling model for Bose-Einstein condensates. Our theory not only spells out conditions for adiabatic evolution of eigenstates, but also characterizes the motion of non-eigenstates which cannot be obtained from the former in the absence of the superposition principle. We find that in the adiabatic evolution of non-eigenstates, the Aharonov-Anandan phases play the role of classical canonical actions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-08-02T17:05:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum states",
      "nonlinear evolution",
      "adiabatic theory",
      "adiabatic evolution",
      "nonlinear schrodinger equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}