{
  "annotation_id": "43c8c29b-e771-4f13-a19a-18d6a9377908",
  "date_created": "2026-03-02T18:02:37.251000Z",
  "date_modified": "2026-03-02T18:02:37.251000Z",
  "file_hash": "6afc10839df3bd23eb1385fe32193b9c59d4560accdd7cd272c4585f726bedc3",
  "private": false,
  "record": {
    "abstract": "We study the quantum version of a tilting and flashing Hamiltonian ratchets,\nconsisting of a periodic potential and a time-periodic driving field. The\nsystem dynamics is governed by a Floquet evolution matrix bearing the symmetry\nof the corresponding Hamiltonian. The dc-current appears due to the\ndesymmetrization of Floquet eigenstates, which become transporting when all the\nrelevant symmetries are violated. Those eigenstates which mostly contribute to\na directed transport reside in phase space regions corresponding to classical\nresonances. Quantum dynamics leads to the dependence of the average velocity on\nthe initial phase of the ac-field. A resonant enhancement (or suppression) of\nthe dc-current, due to avoided crossings between different Floquet states takes\nplace upon tuning some control parameters. Our studies are predominantly aimed\nat experimental realizations of ac-driven quantum ratchets with cold atoms.",
    "arxiv_id": "quant-ph/0703169",
    "authors": [
      "S. Denisov",
      "L. Morales-Molina",
      "S. Flach",
      "P. Hanggi"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.75.063424",
    "journal_ref": "Phys. Rev. A, 75 (2007) 063424",
    "title": "Periodically driven Quantum Ratchets: Symmetries and Resonances",
    "url": "https://arxiv.org/abs/quant-ph/0703169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2306115-04be-4c79-9fa8-8c3573a1eddf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}