{
  "id": "0806.3387",
  "version": "v2",
  "published": "2008-06-20T10:50:35.000Z",
  "updated": "2008-11-24T12:48:27.000Z",
  "title": "Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation",
  "authors": [
    "Johannes Hausinger",
    "Milena Grifoni"
  ],
  "comment": "39 pages, 17 figures; published version",
  "journal": "New J. Phys. 10 (2008) 115015",
  "doi": "10.1088/1367-2630/10/11/115015",
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "We study the dissipative dynamics of a biased two-level system (TLS) coupled to a harmonic oscillator (HO), the latter interacting with an Ohmic environment. Using Van-Vleck perturbation theory and going to second order in the coupling between TLS and HO, we show how the Hamiltonian of the TLS-HO system can be diagonalized analytically. Our model represents an improvement to the usually used Jaynes-Cummings Hamiltonian as an initial rotating wave approximation is avoided. By assuming a weak coupling to the thermal bath, analytical expressions for the time evolution of the populations of the TLS are found: the population is characterized by a multiplicity of damped oscillations together with a complex relaxation dynamics towards thermal equilibrium. The long time evolution is characterized by a single relaxation rate, which is largest at resonance and whose expression can be given in closed analytic form.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-24T12:48:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic oscillator",
      "biased qubit",
      "dissipative dynamics",
      "analytical results",
      "time evolution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "New Journal of Physics",
      "year": 2008,
      "month": "Nov",
      "volume": 10,
      "number": 11,
      "pages": 115015
    },
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008NJPh...10k5015H"
    }
  }
}