{
  "id": "1404.3838",
  "version": "v1",
  "published": "2014-04-15T07:36:47.000Z",
  "updated": "2014-04-15T07:36:47.000Z",
  "title": "Generalized $su(2)$ coherent states for the Landau levels and their nonclassical properties",
  "authors": [
    "A. Dehghani",
    "B. Mojaveri"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1212.6888, arXiv:1404.3277",
  "journal": "Eur. Phys. J. D (2013) 67: 264",
  "doi": "10.1140/epjd/e2013-40550-2",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "math.OA",
    "physics.optics"
  ],
  "abstract": "Following the lines of the recent papers [J. Phys. A: Math. Theor. 44, 495201 (2012); Eur. Phys. J. D 67, 179 (2013)], we construct here a new class of generalized coherent states related to the Landau levels, which can be used as the finite Fock subspaces for the representation of the $su(2)$ Lie algebra. We establish the relationship between them and the deformed truncated coherent states. We have, also, shown that they satisfy the resolution of the identity property through a positive definite measures on the complex plane. Their nonclassical and quantum statistical properties such as quadrature squeezing, higher order `$su(2)$' squeezing, anti-bunching and anti-correlation effects are studied in details. Particularly, the influence of the generalization on the nonclassical properties of two modes is clarified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-15T07:36:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau levels",
      "nonclassical properties",
      "finite fock subspaces",
      "anti-correlation effects",
      "lie algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal D",
      "year": 2013,
      "month": "Dec",
      "volume": 67,
      "number": 12,
      "pages": 264
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013EPJD...67..264D"
    }
  }
}