{
  "annotation_id": "f2773a1f-a9c5-42ce-9ce9-da5d19a5af37",
  "date_created": "2026-03-02T18:02:31.245000Z",
  "date_modified": "2026-03-02T18:02:31.245000Z",
  "file_hash": "e24bc539ff8929fb3a5636ea7d62066fbc45a2bfa2a83c65f0370e3cb06f4598",
  "private": false,
  "record": {
    "abstract": "I show how to perform a Loschmidt echo (time reversal) in the Bose-Hubbard\nmodel implemented with cold bosonic atoms in an optical lattice. The echo is\nobtained by applying a linear phase imprint on the lattice and a change in\nmagnetic field to tune the boson-boson scattering length through a Feshbach\nresonance. I discuss how the echo can measure the fidelity of the quantum\nsimulation, the intensity of an external potential (e.g. gravity), or the\ncritical point of the superfluid-insulator quantum phase transition.",
    "arxiv_id": "quant-ph/0609202",
    "authors": [
      "Fernando M. Cucchietti"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "physics.atom-ph"
    ],
    "doi": "10.1364/JOSAB.27.000A30",
    "journal_ref": "J. Opt. Soc. Am. B 27, A30-A35 (2010)",
    "title": "Loschmidt echo in the Bose-Hubbard model: turning back time in an   optical lattice",
    "url": "https://arxiv.org/abs/quant-ph/0609202"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb9c6434-bad1-4258-a1c9-b93c94ead478",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}