{
  "id": "1507.05705",
  "version": "v1",
  "published": "2015-07-21T04:36:16.000Z",
  "updated": "2015-07-21T04:36:16.000Z",
  "title": "Quantum transport in d-dimensional lattices",
  "authors": [
    "Daniel Manzano",
    "Chern Chuang",
    "Jianshu Cao"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We prove analytically that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional modes. This reduction leads to the conclusion that the dynamics in uniform fermionic and bosonic lattices is always ballistic. By the use of the Jordan-Wigner transformation we extend our analysis to spin lattices, proving the existence of both ballistic and non-ballistic subspaces in any dimension and for any system size. We then relate the nature of transport with the number of excitations in the spin lattice, indicating that a single excitation propagates always ballistically and that the non-ballistic behavior of uniform spin lattices is a consequence of the interaction between different excitations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-21T04:36:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum transport",
      "bosonic uniform d-dimensional lattices",
      "independent one-dimensional modes",
      "single excitation propagates",
      "uniform spin lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150705705M"
    }
  }
}