{
  "id": "cond-mat/0609472",
  "version": "v3",
  "published": "2006-09-19T15:32:49.000Z",
  "updated": "2007-05-23T08:08:06.000Z",
  "title": "Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials",
  "authors": [
    "N. Goldman",
    "P. Gaspard"
  ],
  "comment": "6 pages, 2 figures",
  "journal": "Europhys. Lett. 78 60001 (2007)",
  "doi": "10.1209/0295-5075/78/60001",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser assisted and described by commutative or non-commutative tunneling operators. We show that the Hall-like transverse conductivity of such systems is quantized by relating the transverse conductivity to topological invariants known as Chern numbers. We show that this quantization is robust in non-Abelian potentials. The different integer values of this conductivity are explicitly computed for a specific non-Abelian system which leads to a fractal phase diagram.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-05-23T08:08:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-abelian gauge potentials",
      "quantum hall-like effect",
      "cold atoms",
      "optical lattices",
      "cold fermionic atoms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}