{
  "id": "2202.04314",
  "version": "v1",
  "published": "2022-02-09T07:17:21.000Z",
  "updated": "2022-02-09T07:17:21.000Z",
  "title": "Entanglement of Nambu Spinors and Bell Inequality Test Without Beam Splitters",
  "authors": [
    "Wei Luo",
    "Hao Geng",
    "D. Y. Xing",
    "G. Blatter",
    "Wei Chen"
  ],
  "comment": "7 pages, 2 figures, submitted to PRL on Sept. 30, 2021",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "The identification of electronic entanglement in solids remains elusive so far, which is owed to the difficulty of implementing spinor-selective beam splitters with tunable polarization direction. Here, we propose to overcome this obstacle by producing and detecting a particular type of entanglement encoded in the Nambu spinor or electron-hole components of quasiparticles excited in quantum Hall edge states. Due to the opposite charge of electrons and holes, the detection of the Nambu spinor translates into a charge-current measurement, which eliminates the need for beam splitters and assures a high detection rate. Conveniently, the spinor correlation function at fixed effective polarizations derives from a single current-noise measurement, with the polarization directions of the detector easily adjusted by coupling the edge states to a voltage gate and a superconductor, both having been realized in experiments. We show that the violation of Bell inequality occurs in a large parameter region. Our work opens a new route for probing quasiparticle entanglement in solid-state physics exempt from traditional beam splitters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-09T07:17:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bell inequality test",
      "entanglement",
      "quantum hall edge states",
      "polarization direction",
      "high detection rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}