{
  "id": "2009.06987",
  "version": "v1",
  "published": "2020-09-15T11:15:09.000Z",
  "updated": "2020-09-15T11:15:09.000Z",
  "title": "Quantum metric and wavepackets at exceptional points in non-Hermitian systems",
  "authors": [
    "D. D. Solnyshkov",
    "C. Leblanc",
    "L. Bessonart",
    "A. Nalitov",
    "J. Ren",
    "Q. Liao",
    "F. Li",
    "G. Malpuech"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "physics.optics",
    "quant-ph"
  ],
  "abstract": "The usual concepts of topological physics, such as the Berry curvature, cannot be applied directly to non-Hermitian systems. We show that another object, the quantum metric, which often plays a secondary role in Hermitian systems, becomes a crucial quantity near exceptional points in non-Hermitian systems, where it diverges in a way that fully controls the description of wavepacket trajectories. The quantum metric behaviour is responsible for a constant acceleration with a fixed direction, and for a non-vanishing constant velocity with a controllable direction. Both contributions are independent of the wavepacket size.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-15T11:15:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian systems",
      "exceptional points",
      "quantum metric behaviour",
      "non-vanishing constant velocity",
      "constant acceleration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}