{
  "id": "2205.00623",
  "version": "v1",
  "published": "2022-05-02T02:15:47.000Z",
  "updated": "2022-05-02T02:15:47.000Z",
  "title": "Nonergodic delocalized paramagnetic states in quantum neural networks",
  "authors": [
    "Shuohang Wu",
    "Zi Cai"
  ],
  "comment": "5 pages",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Typically, it is assumed that a high-energy eigenstate of a generic interacting quantum many-body Hamiltonian is thermal and obeys the eigenstate thermalization hypothesis. In this work, we show that the paramagnetic phase of a quantum Hopfield neural network model is delocalized but nonergodic. The combination of permutational symmetry and frustration in this model organize its high-energy eigenstates into clusters, which can each be considered a large quantum spin and has no correlation with others. This model provides another ergodicity-breaking mechanism in quantum many-body systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-02T02:15:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonergodic delocalized paramagnetic states",
      "quantum neural networks",
      "quantum hopfield neural network model",
      "generic interacting quantum many-body hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}