{
  "id": "1908.11253",
  "version": "v1",
  "published": "2019-08-29T14:25:13.000Z",
  "updated": "2019-08-29T14:25:13.000Z",
  "title": "Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations",
  "authors": [
    "Qicheng Tang",
    "W. Zhu"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "We study the effects of local projective measurements on the quantum quench dynamics. As a concrete example, one-dimensional Bose-Hubbard model is simulated by using matrix product state and time evolving block decimation. We map out a global phase diagram in terms of the measurement rate in spatial space and time domain, which demonstrates a volume-to-area law entanglement phase transition. When the measurement rates reach the critical values, we observe a logarithmic growth of entanglement entropy as the sub-system size or evolved time increases. This is akin to the character in the many-body localization, implying a general picture of the dynamical transitions separating quantum systems with different entanglement features. Moreover, we find that the probability distribution of the single-site entanglement entropy distinguishes the volume and area law phases just as the case of disorder-induced many-body localization. This suggests that the different type entanglement phase transitions may be understood as a nonlocalized-to-localized transition. We also investigate the scaling behavior of entanglement entropy and mutual information between two separated intervals, which is indicative of a single universality class and thus suggests a possible unified description of this transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-29T14:25:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "density-matrix renormalization group calculations",
      "measurement-induced phase transition",
      "law entanglement phase transition",
      "case study",
      "non-integrable model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}