{
  "id": "1306.0716",
  "version": "v2",
  "published": "2013-06-04T10:01:56.000Z",
  "updated": "2014-08-18T13:10:30.000Z",
  "title": "Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems",
  "authors": [
    "Martin Kliesch",
    "Christian Gogolin",
    "Jens Eisert"
  ],
  "comment": "13 pages, 2 figures; book chapter",
  "journal": "L. D. Site and V. Bach (eds.), Many-Electron Approaches in Physics, Chemistry and Mathematics (Springer: Mathematical Physics Studies, 2014), pp. 301-318",
  "doi": "10.1007/978-3-319-06379-9_17",
  "categories": [
    "quant-ph",
    "cond-mat.str-el",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a maximum speed of propagation of correlations in many body systems of locally interacting spins and fermions. Finally, we discuss a number of important consequences concerning the simulation of time evolution and properties of ground states and stationary states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-18T13:10:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81-01"
    ],
    "keywords": [
      "time evolution",
      "local observables",
      "lattice systems",
      "simulation",
      "introductory text reviewing lieb-robinson bounds"
    ],
    "tags": [
      "book chapter",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.0716K"
    }
  }
}