{
  "id": "2201.09553",
  "version": "v1",
  "published": "2022-01-24T09:54:01.000Z",
  "updated": "2022-01-24T09:54:01.000Z",
  "title": "Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime",
  "authors": [
    "I. Taktak",
    "M. Kapfer",
    "J. Nath",
    "P. Roulleau",
    "M. Acciai",
    "J. Splettstoesser",
    "I. Farrer",
    "D. A. Ritchie",
    "D. C. Glattli"
  ],
  "comment": "Main text and supplementary materials, 19 pages, 10 figures",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "As with like particles in ordinary vacuum, quasi-particles are elementary excitations of the ground state of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue and an important challenge for their manipulation for quantum information tasks. This is particularly the case for the quasi-particles called anyons of the Fractional Quantum Hall Effect (FQHE), a quantum phase displayed by two-dimensional electronic conductors in high magnetic fields. These fractionally charged quasi-particles obey anyonic statistics intermediate between fermionic and bosonic. Their quantum coherence has been observed by their transmission through the discrete localized states of electronic Fabry-P\\'erot interferometers. Surprisingly, no quantum interference of anyons was observed in electronic Mach-Zehnder interferometers for which the quasi-particle transmission occurs via propagating states forming a continuum of states. Here we address this puzzle by demonstrating that FQHE anyons do keep a finite quantum coherence while propagating along extended states by using a different kind of interferometry, namely two-particle time-domain interference using an electronic beam-splitter. By varying the time delay between photo-created electron-hole pairs and measuring cross-correlated noise sensitive to the two-particle Hanbury Brown Twiss (HBT) phase, we observe strong quasi-particle interference. Visibilities as high as 53% and 60% are observed for e/5 and e/3 charged anyons propagating on the FQHE chiral edges modes. Our results give a positive message for the challenge of performing controlled quantum coherent braiding of anyons and call for a better understanding of the absence of interference in Mach-Zehnder interferometers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-24T09:54:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall effect regime",
      "two-particle time-domain interferometry",
      "quasi-particles obey anyonic statistics",
      "obey anyonic statistics intermediate",
      "charged quasi-particles obey anyonic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}