{
  "id": "1103.4383",
  "version": "v1",
  "published": "2011-03-22T21:04:28.000Z",
  "updated": "2011-03-22T21:04:28.000Z",
  "title": "Exact solution of the Schrodinger equation with the spin-boson Hamiltonian",
  "authors": [
    "Bartlomiej Gardas"
  ],
  "comment": "9 pages, LaTeX, to appear in Journal of Physics A: Mathematical and Theoretical",
  "journal": "J. Phys. A: Math. Theor. 44 (2011) 195301",
  "doi": "10.1088/1751-8113/44/19/195301",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We address the problem of obtaining the exact reduced dynamics of the spin-half (qubit) immersed within the bosonic bath (enviroment). An exact solution of the Schrodinger equation with the paradigmatic spin-boson Hamiltonian is obtained. We believe that this result is a major step ahead and may ultimately contribute to the complete resolution of the problem in question. We also construct the constant of motion for the spin-boson system. In contrast to the standard techniques available within the framework of the open quantum systems theory, our analysis is based on the theory of block operator matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-22T21:04:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrodinger equation",
      "exact solution",
      "open quantum systems theory",
      "major step ahead",
      "block operator matrices"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "May",
      "volume": 44,
      "number": 19,
      "pages": 195301
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44s5301G"
    }
  }
}