{
  "id": "1806.07630",
  "version": "v1",
  "published": "2018-06-20T09:23:52.000Z",
  "updated": "2018-06-20T09:23:52.000Z",
  "title": "Multiparameter estimation via an ensemble of spinor atoms",
  "authors": [
    "Min Zhuang",
    "Jiahao Huang",
    "Chaohong Lee"
  ],
  "comment": "11 pages, 10 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Multiparameter estimation, which aims to simultaneously determine multiple parameters in the same measurement procedure, attracts extensive interests in measurement science and technologies. Here, we propose a multimode many-body quantum interferometry for simultaneously estimating linear and quadratic Zeeman coefficients via an ensemble of spinor atoms. Different from the scheme with individual atoms, by using an $N$-atom multimode GHZ state, the measurement precisions of the two parameters can simultaneously attain the Heisenberg limit, and they respectively depend on the hyperfine spin number $F$ in the form of $\\Delta p \\propto 1/(FN)$ and $\\Delta q \\propto 1/(F^2N)$. Moreover, the simultaneous estimation can provide better precision than the individual estimation. Further, by taking a three-mode interferometry with Bose condensed spin-1 atoms for an example, we show how to perform the simultaneous estimation of $p$ and $q$. Our scheme provides a novel paradigm for implementing multiparameter estimation with multimode quantum correlated states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-20T09:23:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiparameter estimation",
      "spinor atoms",
      "multimode many-body quantum interferometry",
      "atom multimode ghz state",
      "multimode quantum correlated states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}