{
  "id": "2406.15577",
  "version": "v1",
  "published": "2024-06-21T18:25:12.000Z",
  "updated": "2024-06-21T18:25:12.000Z",
  "title": "Decoherence of Histories: Chaotic Versus Integrable Systems",
  "authors": [
    "Jiaozi Wang",
    "Philipp Strasberg"
  ],
  "comment": "10 pages, 16 figures",
  "categories": [
    "cond-mat.stat-mech",
    "gr-qc",
    "quant-ph"
  ],
  "abstract": "We study the emergence of decoherent histories in isolated systems based on exact numerical integration of the Schr\\\"odinger equation for a Heisenberg chain. We reveal that the nature of the system, which we switch from (i) chaotic to (ii) interacting integrable to (iii) non-interacting integrable, strongly impacts decoherence. From a finite size scaling law we infer a strong exponential suppression of coherences for (i), a weak exponential suppression for (ii) and no exponential suppression for (iii) on a relevant short (nonequilibrium) time scale. Moreover, for longer times we find stronger decoherence for (i) but the opposite for (ii), hinting even at a possible power-law decay for (ii) at equilibrium time scales. This behaviour is encoded in the multi-time properties of the quantum histories and it can not be explained by environmentally induced decoherence. Our results suggest that chaoticity plays a crucial role in the emergence of classicality in finite size systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-21T18:25:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable systems",
      "equilibrium time scales",
      "weak exponential suppression",
      "strong exponential suppression",
      "finite size"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}