{
  "id": "1809.11133",
  "version": "v1",
  "published": "2018-09-28T16:36:10.000Z",
  "updated": "2018-09-28T16:36:10.000Z",
  "title": "Microwave signatures of $\\mathbb{Z}_{2}$ and $\\mathbb{Z}_{4}$ fractional Josephson effects",
  "authors": [
    "Pedro L. S. Lopes",
    "Samuel Boutin",
    "Philippe Karan",
    "Udson C. Mendes",
    "Ion Garate"
  ],
  "comment": "16 pages, 11 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci",
    "cond-mat.str-el",
    "cond-mat.supr-con"
  ],
  "abstract": "We present a many-body exact diagonalization study of the $\\mathbb{Z}_2$ and $\\mathbb{Z}_4$ Josephson effects in circuit quantum electrodynamics architectures. Numerical simulations are conducted on Kitaev chain Josephson junctions hosting nearest-neighbor Coulomb interactions. The low-energy effective theory of highly transparent Kitaev chain junctions is shown to be identical to that of junctions created at the edge of a quantum spin-Hall insulator. By capacitively coupling the interacting junction to a microwave resonator, we predict signatures of the fractional Josephson effects on the cavity frequency and on time-resolved reflectivity measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-28T16:36:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional josephson effects",
      "transparent kitaev chain junctions",
      "microwave signatures",
      "junctions hosting nearest-neighbor coulomb",
      "josephson junctions hosting nearest-neighbor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}