{
  "id": "0903.0021",
  "version": "v1",
  "published": "2009-02-27T23:31:59.000Z",
  "updated": "2009-02-27T23:31:59.000Z",
  "title": "Master Equation and Control of an Open Quantum System with Leakage",
  "authors": [
    "Lian-Ao Wu",
    "Gershon Kurizki",
    "Paul Brumer"
  ],
  "comment": "5 pages, 1 figure",
  "journal": "Phys. Rev. Lett. 102, 080405 (2009)",
  "doi": "10.1103/PhysRevLett.102.080405",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Given a multilevel system coupled to a bath, we use a Feshbach P,Q partitioning technique to derive an exact trace-nonpreserving master equation for a subspace $\\mathcal{S}_{i}$ of the system. The resultant equation properly treats the leakage effect from $\\mathcal{S}_{i}$ into the remainder of the system space. Focusing on a second-order approximation, we show that a one-dimensional master equation is sufficient to study problems of quantum state storage and is a good approximation, or exact, for several analytical models. It allows a natural definition of a leakage function and its control, and provides a general approach to study and control decoherence and leakage. Numerical calculations on an harmonic oscillator coupled to a room temperature harmonic bath show that the leakage can be suppressed by the pulse control technique without requiring ideal pulses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-27T23:31:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Yz",
      "02.30.Yy",
      "03.67.Pp",
      "37.10.Jk"
    ],
    "keywords": [
      "open quantum system",
      "room temperature harmonic bath",
      "pulse control technique",
      "exact trace-nonpreserving master equation",
      "resultant equation properly treats"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2009,
      "month": "Feb",
      "volume": 102,
      "number": 8,
      "pages": "080405"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvL.102h0405W"
    }
  }
}