{
  "annotation_id": "8a6de6fd-349c-45ae-8eeb-e1d720840566",
  "date_created": "2026-03-02T18:01:56.675000Z",
  "date_modified": "2026-03-02T18:01:56.675000Z",
  "file_hash": "c7cbe449bcbc74e5b5950a49e2ac5cf4a0da9e33a96579ad26de478eb3581033",
  "private": false,
  "record": {
    "abstract": "On one-dimensional two-way infinite lattice system, a property of stationary\n(space-) translationally invariant states with nonvanishing current\nexpectations are investigated. We consider GNS representation with respect to\nsuch a state, on which we have a group of space-time translation unitary\noperators. We show, by applying Goldstone-theorem-like argument,that spectrum\nof the unitary operators, energy-momentum spectrum with respect to the state,\nhas a singularity at the origin.",
    "arxiv_id": "quant-ph/0301143",
    "authors": [
      "Takayuki Miyadera"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "title": "Nonequilibrium steady states on 1-d lattice systems and Goldstone   theorem",
    "url": "https://arxiv.org/abs/quant-ph/0301143"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "441da182-12eb-4a2f-86fe-093700c515ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}