{
  "id": "0906.2737",
  "version": "v2",
  "published": "2009-06-15T16:24:18.000Z",
  "updated": "2009-09-17T17:48:30.000Z",
  "title": "Optical $Λ$ transitions and quantum computing in the $^{15}$N-V$^{-}$ Center in Diamond",
  "authors": [
    "Gabriel González",
    "Michael N. Leuenberger"
  ],
  "comment": "revised version (corrected typos and added references)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We present a thorough derivation of the excited state energy levels of the negatively charged $^{15}$N-V$^{-}$ center in diamond for the strong applied electric field case. We show that in the $^{15}$N-V$^{-}$ center a spin non-conserving two-photon $\\Lambda$ transition exists that is mediated by the hyperfine interaction, which provides the possibility to write quantum information. Using second order perturbation theory we obtain a $\\Lambda$ transition rate of the order of 10 MHz at room temperature, which allows for approximately $10^4$ quantum logic operations within the spin coherence time $\\tau_d(T=300 K)\\approx 1m$s of the $^{15}$N-V$^{-}$ center.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-17T17:48:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transition",
      "quantum computing",
      "strong applied electric field case",
      "second order perturbation theory",
      "quantum logic operations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2737G"
    }
  }
}