{
  "id": "1610.08669",
  "version": "v1",
  "published": "2016-10-27T09:22:00.000Z",
  "updated": "2016-10-27T09:22:00.000Z",
  "title": "Experimental Observation of Dynamical Lee-Yang Zeros",
  "authors": [
    "Kay Brandner",
    "Ville F. Maisi",
    "Jukka P. Pekola",
    "Juan P. Garrahan",
    "Christian Flindt"
  ],
  "comment": "6 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "Statistical physics provides the concepts and methods to explain the phase behavior of interacting many-body systems. Investigations of Lee-Yang zeros --- complex singularities of the free energy in systems of finite size --- have led to a unified understanding of equilibrium phase transitions. The ideas of Lee and Yang, however, are not restricted to equilibrium phenomena. Recently, Lee-Yang zeros have been used to characterize non-equilibrium processes such as dynamical phase transitions in quantum systems after a quench or dynamic order-disorder transitions in glasses. Here, we experimentally realize a scheme for observing Lee-Yang zeros in such non-equilibrium settings. We extract the dynamical Lee-Yang zeros of a stochastic process involving Andreev tunneling between a normal-state island and two superconducting leads from measurements of the dynamical activity along a trajectory. From short-time observations of the Lee-Yang zeros, we predict the large-deviation statistics of the dynamical activity which is otherwise difficult to measure. Our method paves the way for further experiments on the statistical mechanics of many-body systems out of equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-27T09:22:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical lee-yang zeros",
      "experimental observation",
      "many-body systems",
      "equilibrium phase transitions",
      "dynamic order-disorder transitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}