{
  "id": "2111.09802",
  "version": "v1",
  "published": "2021-11-18T17:11:24.000Z",
  "updated": "2021-11-18T17:11:24.000Z",
  "title": "Coherent feedback cooling of a nanomechanical membrane with atomic spins",
  "authors": [
    "Gian-Luca Schmid",
    "Chun Tat Ngai",
    "Maryse Ernzer",
    "Manel Bosch Aguilera",
    "Thomas M. Karg",
    "Philipp Treutlein"
  ],
  "comment": "13 pages, 8 figures",
  "doi": "10.1103/PhysRevX.12.011020",
  "categories": [
    "quant-ph",
    "physics.atom-ph",
    "physics.optics"
  ],
  "abstract": "Coherent feedback stabilises a system towards a target state without the need of a measurement, thus avoiding the quantum backaction inherent to measurements. Here, we employ optical coherent feedback to remotely cool a nanomechanical membrane using atomic spins as a controller. Direct manipulation of the atoms allows us to tune from strong-coupling to an overdamped regime. Making use of the full coherent control offered by our system, we perform spin-membrane state swaps combined with stroboscopic spin pumping to cool the membrane in a room-temperature environment to ${T}={216}\\,\\mathrm{mK}$ ($\\bar{n}_{m} = 2.3\\times 10^3$ phonons) in ${200}\\,\\mathrm{{\\mu}s}$. We furthermore observe and study the effects of delayed feedback on the cooling performance. Starting from a cryogenically pre-cooled membrane, this method would enable cooling of the mechanical oscillator close to its quantum mechanical ground state and the preparation of nonclassical states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-11-18T17:11:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent feedback cooling",
      "atomic spins",
      "nanomechanical membrane",
      "perform spin-membrane state swaps",
      "coherent feedback stabilises"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. X"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}