{
  "id": "1110.3186",
  "version": "v1",
  "published": "2011-10-14T12:19:25.000Z",
  "updated": "2011-10-14T12:19:25.000Z",
  "title": "Escape behaviour of a quantum particle in a loop coupled to a lead",
  "authors": [
    "Ph. A. Jacquet"
  ],
  "comment": "33 pages, 11 figures",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a one-dimensional loop of circumference $L$ crossed by a constant magnetic flux $\\Phi$ and connected to an infinite lead with coupling parameter $\\epsilon$. Assuming that the initial state $\\psi_0$ of the particle is confined inside the loop and evolves freely, we analyse the time evolution of the nonescape probability $P(\\psi_0,L,\\Phi,\\epsilon,t)$, which is the probability that the particle will still be inside the loop at some later time $t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-14T12:19:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Db",
      "03.65.Nk"
    ],
    "keywords": [
      "quantum particle",
      "escape behaviour",
      "constant magnetic flux",
      "nonescape probability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.84.062126",
      "journal": "Physical Review A",
      "year": 2011,
      "month": "Dec",
      "volume": 84,
      "number": 6,
      "pages": "062126"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvA..84f2126J"
    }
  }
}