{
  "annotation_id": "e5f7fb75-e3b9-4a65-bcf5-882ce5fb53ad",
  "date_created": "2026-03-02T18:02:10.111000Z",
  "date_modified": "2026-03-02T18:02:10.111000Z",
  "file_hash": "d7fa9537cf8a51b9cba952fa904f79e016b0a9458adf25abe736abfbe5d42a93",
  "private": false,
  "record": {
    "abstract": "We generalize a proposal for detecting single phonon transitions in a single\nnanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of\neach mechanical oscillator. In this scheme two NEMS oscillators are coupled via\na term quadratic in the amplitude of oscillation for each oscillator. One NEMS\noscillator is driven and strongly damped and becomes a transducer for phonon\nnumber in the other measured oscillator. We derive the conditions for this\nmeasurement scheme to be quantum limited and find a condition on the size of\nthe anharmonicity. We also derive the relation between the phase diffusion\nback-action noise due to number measurement and the localization time for the\nmeasured system to enter a phonon number eigenstate. We relate both these time\nscales to the strength of the measured signal, which is an induced current\nproportional to the position of the readout oscillator.",
    "arxiv_id": "quant-ph/0410039",
    "authors": [
      "D. H. Santamore",
      "Hsi-Sheng Goan",
      "G. J. Milburn",
      "M. L. Roukes"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1103/PhysRevA.70.052105",
    "journal_ref": "Phys. Rev. A 70, 052105 (2004)",
    "title": "Anharmonic effects on a phonon number measurement of a quantum   mesoscopic mechanical oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0410039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3acfc21-1d3f-4ef6-a60a-989b04a5051c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}