{
  "id": "1904.11262",
  "version": "v1",
  "published": "2019-04-25T11:26:05.000Z",
  "updated": "2019-04-25T11:26:05.000Z",
  "title": "Non-Abelian Geometric Dephasing",
  "authors": [
    "Kyrylo Snizhko",
    "Reinhold Egger",
    "Yuval Gefen"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the adiabatic dynamics of degenerate quantum states induced by loop paths in a control parameter space. The latter correspond to noisy trajectories if the system is weakly coupled to environmental modes. On top of conventional dynamic dephasing, we find a universal non-Abelian geometric dephasing (NAGD) contribution and express it in terms of the non-Abelian Berry connection and curvature. We show that NAGD implies either decay or amplification of coherences. The full NAGD matrix structure can be probed through interference experiments. We outline such a detection scheme for modified Majorana braiding setups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-25T11:26:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "full nagd matrix structure",
      "non-abelian berry connection",
      "degenerate quantum states",
      "control parameter space",
      "majorana braiding setups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}