{
  "id": "1912.09489",
  "version": "v1",
  "published": "2019-12-19T19:00:30.000Z",
  "updated": "2019-12-19T19:00:30.000Z",
  "title": "Quantum circuit at criticality",
  "authors": [
    "Nicolas Macé"
  ],
  "comment": "Comments welcomed",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "We study a simple quantum circuit model which, without need for fine tuning, is very close to sitting at the transition between ergodic and many-body localized (MBL) phases. We probe the properties of the model on large finite-size systems, using a matrix-free exact diagonalization method that takes advantage of the shallow nature of the circuit. Moreover, we provide a qualitative entanglement bottleneck picture to account for the close-to-critical nature of the model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-19T19:00:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "criticality",
      "simple quantum circuit model",
      "matrix-free exact diagonalization method",
      "qualitative entanglement bottleneck picture",
      "large finite-size systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}