{
  "id": "1208.2326",
  "version": "v1",
  "published": "2012-08-11T08:49:47.000Z",
  "updated": "2012-08-11T08:49:47.000Z",
  "title": "A connection between optimal control theory and adiabatic passage techniques in quantum systems",
  "authors": [
    "E. Assémat",
    "D. Sugny"
  ],
  "comment": "19 pages, 6 figures",
  "journal": "Phys. Rev. A 86, 023406 (2012)",
  "categories": [
    "quant-ph",
    "physics.chem-ph"
  ],
  "abstract": "This work explores the relationship between optimal control theory and adiabatic passage techniques in quantum systems. The study is based on a geometric analysis of the Hamiltonian dynamics constructed from the Pontryagin Maximum Principle. In a three-level quantum system, we show that the Stimulated Raman Adiabatic Passage technique can be associated to a peculiar Hamiltonian singularity. One deduces that the adiabatic pulse is solution of the optimal control problem only for a specific cost functional. This analysis is extended to the case of a four-level quantum system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-11T08:49:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32.80.Qk",
      "03.65.Yz",
      "78.20.Bh"
    ],
    "keywords": [
      "optimal control theory",
      "stimulated raman adiabatic passage technique",
      "connection",
      "optimal control problem",
      "peculiar hamiltonian singularity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "doi": "10.1103/PhysRevA.86.023406",
      "year": 2012,
      "month": "Aug",
      "volume": 86,
      "number": 2,
      "pages": "023406"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..86b3406A"
    }
  }
}