{
  "id": "2305.12156",
  "version": "v1",
  "published": "2023-05-20T10:01:48.000Z",
  "updated": "2023-05-20T10:01:48.000Z",
  "title": "Tight lower bounds on the time it takes to generate a geometric phase",
  "authors": [
    "Niklas Hörnedal",
    "Ole Sönnerborn"
  ],
  "comment": "7 pages, 2 figures, comments are welcome",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Although the non-adiabatic Aharonov-Anandan geometric phase acquired by a cyclically evolving quantum system does not depend on the evolution time, it does set a lower bound on the evolution time. In this paper, we derive three tight bounds on the time required to generate any prescribed Aharonov-Anandan geometric phase. The derivations are based on recent results on the geometric character of the classic Mandelstam-Tamm and Margolus-Levitin quantum speed limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-20T10:01:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tight lower bounds",
      "evolution time",
      "non-adiabatic aharonov-anandan geometric phase",
      "margolus-levitin quantum speed limits",
      "prescribed aharonov-anandan geometric phase"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}