{
  "id": "1204.3871",
  "version": "v1",
  "published": "2012-04-17T18:17:42.000Z",
  "updated": "2012-04-17T18:17:42.000Z",
  "title": "A nanomechanical resonator coupled linearly via its momentum to a quantum point contact",
  "authors": [
    "L. L. Benatov",
    "M. P. Blencowe"
  ],
  "comment": "38 pages, 16 figures",
  "journal": "Phys. Rev. B 86, 075313 (2012)",
  "doi": "10.1103/PhysRevB.86.075313",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We use a Born-Markov approximated master equation approach to study the symmetrized-in-frequency current noise spectrum and the oscillator steady state of a nanoelectromechanical system where a nanoscale resonator is coupled linearly via its momentum to a quantum point contact (QPC). Our current noise spectra exhibit clear signatures of the quantum correlations between the QPC current and the back-action force on the oscillator at a value of the relative tunneling phase (\\eta = -\\pi/2) where such correlations are expected to be maximized. We also show that the steady state of the oscillator obeys a classical Fokker-Planck equation, but can experience thermomechanical noise squeezing in the presence of a momentum-coupled detector bath and a position-coupled environmental bath. Besides, the full master equation clearly shows that half of the detector back-action is correlated with electron tunneling, indicating a departure from the model of the detector as an effective bath and suggesting that a future calculation valid at lower bias voltage, stronger tunneling and/or stronger coupling might reveal interesting quantum effects in the oscillator dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-17T18:17:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "85.85.+j",
      "72.70.+m",
      "73.23.-b"
    ],
    "keywords": [
      "quantum point contact",
      "nanomechanical resonator",
      "symmetrized-in-frequency current noise spectrum",
      "born-markov approximated master equation approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "Aug",
      "volume": 86,
      "number": 7,
      "pages": "075313"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..86g5313B"
    }
  }
}