{
  "id": "1609.08714",
  "version": "v1",
  "published": "2016-09-28T00:22:19.000Z",
  "updated": "2016-09-28T00:22:19.000Z",
  "title": "Nonlinear damping and dephasing in nanomechanical systems",
  "authors": [
    "J. Atalaya",
    "T. W. Kenny",
    "M. L. Roukes",
    "M. I. Dykman"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We present a microscopic theory of nonlinear damping and dephasing of low-frequency eigenmodes in nano- and micro-mechanical systems. The mechanism of the both effects is scattering of thermally excited vibrational modes off the considered eigenmode. The scattering is accompanied by energy transfer of $2\\hbar\\omega_0$ for nonlinear damping and is quasieleastic for dephasing. We develop a formalism that allows studying both spatially uniform systems and systems with a strong nonuniformity, which is smooth on the typical wavelength of thermal modes but not their mean free path. The formalism accounts for the decay of thermal modes, which plays a major role in the nonlinear damping and dephasing. We identify the nonlinear analogs of the Landau-Rumer, thermoelastic, and Akhiezer mechanisms and find the dependence of the relaxation parameters on the temperature and the geometry of a system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-28T00:22:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear damping",
      "nanomechanical systems",
      "thermal modes",
      "mean free path",
      "nonlinear analogs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}