{
  "id": "1403.4140",
  "version": "v2",
  "published": "2014-03-17T15:53:18.000Z",
  "updated": "2014-04-23T01:41:24.000Z",
  "title": "Fast-forward scaling in a finite-dimensional Hilbert space",
  "authors": [
    "Kazutaka Takahashi"
  ],
  "comment": "7 pages, 5 figures, revised",
  "journal": "Phys. Rev. A 89, 042113 (2014)",
  "doi": "10.1103/PhysRevA.89.042113",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Time evolution of quantum systems is accelerated by the fast-forward scaling. We reformulate the method to study systems in a finite-dimensional Hilbert space. For several simple systems, we explicitly construct the acceleration potential. We also use our formulation to accelerate the adiabatic dynamics. Applying the method to the transitionless quantum driving, we find that the fast-forward potential can be understood as a counterdiabatic term.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-23T01:41:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Aa",
      "03.65.Ca",
      "03.67.Ac"
    ],
    "keywords": [
      "finite-dimensional hilbert space",
      "fast-forward scaling",
      "time evolution",
      "adiabatic dynamics",
      "quantum systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2014,
      "month": "Apr",
      "volume": 89,
      "number": 4,
      "pages": "042113"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvA..89d2113T"
    }
  }
}