{
  "id": "2007.00549",
  "version": "v1",
  "published": "2020-07-01T15:21:29.000Z",
  "updated": "2020-07-01T15:21:29.000Z",
  "title": "Non-Abelian Bloch oscillations in higher-order topological insulators",
  "authors": [
    "Marco Di Liberto",
    "Nathan Goldman",
    "Giandomenico Palumbo"
  ],
  "comment": "6+5 pages, 4+2 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.quant-gas"
  ],
  "abstract": "Bloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to an external force. Observed in a wide range of synthetic lattice systems, BOs are intrinsically related to the geometric and topological properties of the underlying band structure. This has established BOs as a prominent tool for the detection of Berry phase effects, including those described by non-Abelian gauge fields. In this work, we unveil a unique topological effect that manifests in the BOs of higher-order topological insulators through the interplay of non-Abelian Berry curvature and quantized Wilson loops. It is characterized by an oscillating Hall drift that is synchronized with a topologically-protected inter-band beating and a multiplied Bloch period. We identify the origin of this synchronization mechanism through a quantum dance of Wannier centers. Our work paves the way to the experimental detection of non-Abelian topological properties in synthetic matter through the measurement of Berry phases and center-of-mass displacements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-01T15:21:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher-order topological insulators",
      "non-abelian bloch oscillations",
      "non-abelian gauge fields",
      "berry phase effects",
      "non-abelian berry curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}