{
  "id": "1505.05140",
  "version": "v1",
  "published": "2015-05-19T09:42:56.000Z",
  "updated": "2015-05-19T09:42:56.000Z",
  "title": "Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials",
  "authors": [
    "Sven Ahrens",
    "Jun Jiang",
    "Yong Sun",
    "Shi-Yao Zhu"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We develop a dynamic description of an effective Dirac theory in metamaterials, in which the wavefunction is modeled by the corresponding electric and magnetic field in the metamaterial. This electro-magnetic field can be probed in the experimental setup, which means that the wavefunction of the effective theory is directly accessible by measurement. Our model is based on a plane wave expansion, which ravels the identification of Dirac spinors with single-frequency excitations of the electro-magnetic field in the metamaterial. The characteristic Zitterbewegung is shown to emerge in simulations of the effective theory and we verify this signature with an analytic solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T09:42:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac equation",
      "metamaterial",
      "simulation",
      "electro-magnetic field",
      "effective theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}