{
  "id": "1412.6142",
  "version": "v1",
  "published": "2014-12-18T21:45:24.000Z",
  "updated": "2014-12-18T21:45:24.000Z",
  "title": "Quantum Speed Limit and Optimal Control of Many-Boson Dynamics",
  "authors": [
    "Ioannis Brouzos",
    "Alexej I. Streltsov",
    "Antonio Negretti",
    "Ressa S. Said",
    "Tommaso Caneva",
    "Simone Montangero",
    "Tommaso Calarco"
  ],
  "comment": "5 pages, 3 figures, and supplemental material (4 pages 1 figure)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We extend the concept of quantum speed limit -- the minimal time needed to perform a driven evolution -- to complex interacting many-body systems. We investigate a prototypical many-body system, a bosonic Josephson junction, at increasing levels of complexity: (a) within the two-mode approximation {corresponding to} a nonlinear two-level system, (b) at the mean-field level by solving the nonlinear Gross-Pitaevskii equation in a double well potential, and (c) at an exact many-body level by solving the time-dependent many-body Schr\\\"odinger equation. We propose a control protocol to transfer atoms from the ground state of a well to the ground state of the neighbouring well. Furthermore, we show that the detrimental effects of the inter-particle repulsion can be eliminated by means of a compensating control pulse, yielding, quite surprisingly, an enhancement of the transfer speed because of the particle interaction -- in contrast to the self-trapping scenario. Finally, we perform numerical optimisations of both the nonlinear and the (exact) many-body quantum dynamics in order to further enhance the transfer efficiency close to the quantum speed limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-18T21:45:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w",
      "02.30.Yy",
      "03.75.Lm",
      "05.60.Gg"
    ],
    "keywords": [
      "quantum speed limit",
      "optimal control",
      "many-boson dynamics",
      "many-body system",
      "ground state"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.92.062110",
      "journal": "Physical Review A",
      "year": 2015,
      "month": "Dec",
      "volume": 92,
      "number": 6,
      "pages": "062110"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvA..92f2110B"
    }
  }
}