{
  "annotation_id": "536373c7-93e1-4766-b384-7d665a7fac42",
  "date_created": "2026-02-17T05:53:26.425000Z",
  "date_modified": "2026-02-17T05:53:26.425000Z",
  "file_hash": "3c31d69de7985327a15656e8cb87a05581cd2bb91f81aa1f3af40ef48c482365",
  "private": false,
  "record": {
    "abstract": "The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\\text{CD}$ can be reverse-engineered so that the full Hamiltonian $H_0 + H_\\text{CD}$ reproduces adiabaticity for all parameter values. Our aim is to construct a single control field $H_1$ that drives an ensemble of LZ-type Hamiltonians with a distribution of energy gaps. $H_1$ works best statistically, minimizing the average transition probability. We restrict our attention to a special class of $H_1$ controls, motivated by $H_\\text{CD}$. We found a systematic trade-off between instantaneous adiabaticity and the final transition probability. Certain limiting cases with a linear sweep can be treated analytically; one of them being the LZ system with Dirac $\\delta(t)$ function. Comprehensive and systematic numerical simulations support and extend the analytic results.",
    "arxiv_id": "2601.10659",
    "authors": [
      "Georgios Theologou",
      "Mikkel F. Andersen",
      "Sandro Wimberger"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1088/1751-8121/ae2c28",
    "journal_ref": "J. Phys. A 59, 015303 (2026)",
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Counterdiabatic driving for random-gap Landau-Zener transitions",
    "url": "https://arxiv.org/abs/2601.10659",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "916c473e-83d8-4f50-8ef5-1f7c388ef651",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}