{
  "id": "1307.0479",
  "version": "v1",
  "published": "2013-07-01T18:52:15.000Z",
  "updated": "2013-07-01T18:52:15.000Z",
  "title": "Uncertainty principle in a cavity at finite temperature",
  "authors": [
    "A. P. C. Malbouisson"
  ],
  "comment": "5 pages, 1 figure, version as accepted to be published in Phys. Rev. A",
  "journal": "Phys. Rev. A 88, 014101 (2013)",
  "doi": "10.1103/PhysRevA.88.014101",
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "We employ a dressed state approach to perform a study on the behavior of the uncertainty principle for a system in a heated cavity. We find, in a small cavity for a given temperature, an oscillatory behavior of the momentum--coordinate product, $(\\Delta\\,p)\\,(\\Delta\\,q)$, which attains periodically finite absolute minimum (maximum) values, no matter large is the elapsed time. This behavior is in a sharp contrast with what happens in free space, in which case, the product $(\\Delta\\,p)\\,(\\Delta\\,q)$ tends asymptotically, for each temperature, to a constant value, independent of time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-01T18:52:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ta"
    ],
    "keywords": [
      "uncertainty principle",
      "finite temperature",
      "attains periodically finite absolute minimum",
      "momentum-coordinate product",
      "small cavity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1240727,
      "adsabs": "2013arXiv1307.0479M"
    }
  }
}