{
  "id": "1912.01210",
  "version": "v1",
  "published": "2019-12-03T06:14:55.000Z",
  "updated": "2019-12-03T06:14:55.000Z",
  "title": "Absence of temporal order in states with fast decay of spatial correlations",
  "authors": [
    "Yichen Huang"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "In quantum lattice systems, we prove that any stationary state with sufficiently fast power-law (or even exponential) decay of spatial correlations has vanishing macroscopic temporal order in the thermodynamic limit. Assuming translational invariance, we obtain a similar bound on the temporal order between local operators at late times. Our proofs do not require any locality of the Hamiltonian. Applications in quantum time crystals are briefly discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-03T06:14:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spatial correlations",
      "fast decay",
      "vanishing macroscopic temporal order",
      "quantum lattice systems",
      "quantum time crystals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}