{
  "id": "2106.13761",
  "version": "v1",
  "published": "2021-06-25T17:01:27.000Z",
  "updated": "2021-06-25T17:01:27.000Z",
  "title": "Designing non-equilibrium states of quantum matter through stochastic resetting",
  "authors": [
    "Gabriele Perfetto",
    "Federico Carollo",
    "Matteo Magoni",
    "Igor Lesanovsky"
  ],
  "comment": "23 pages. 6 pages main text and 17 pages supplemental material",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas"
  ],
  "abstract": "We consider closed quantum many-body systems subject to stochastic resetting. This means that their unitary time evolution is interrupted by resets at randomly selected times. When a reset takes place the system is reinitialized to a state chosen from a set of reset states conditionally on the outcome of a measurement taken immediately before resetting. We construct analytically the resulting non-equilibrium stationary state, thereby establishing a novel connection between quantum quenches in closed systems and the emergent open system dynamics induced by stochastic resetting. We discuss as an application the paradigmatic transverse-field quantum Ising chain. We show that signatures of its ground-state quantum phase transition are visible in the steady state of the reset dynamics as a sharp crossover. Our findings show that a controlled stochastic resetting dynamics allows to design non-equilibrium stationary states of quantum many-body systems, where uncontrolled dissipation and heating can be prevented. These states can thus be created on demand and exploited, e.g., as a resource for quantum enhanced sensing on quantum simulator platforms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-25T17:01:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic resetting",
      "designing non-equilibrium states",
      "quantum many-body systems subject",
      "quantum matter",
      "transverse-field quantum ising chain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}