{
  "id": "cond-mat/0412034",
  "version": "v1",
  "published": "2004-12-01T20:14:29.000Z",
  "updated": "2004-12-01T20:14:29.000Z",
  "title": "Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice",
  "authors": [
    "M. Aizenman",
    "E. H. Lieb",
    "R. Seiringer",
    "J. P. Solovej",
    "J. Yngvason"
  ],
  "comment": "To appear in the proceedings of QMath9, Giens, France, Sept. 12--16, 2004",
  "journal": "in: `Mathematical Physics of Quantum Mechanics, Selected and Refereed Lectures from QMath9', A. Joyce and and J. Ash (eds), Springer Lecture Notes in Physics, vol. 690 (2006)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other",
    "math-ph",
    "math.MP"
  ],
  "abstract": "One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical trapping potential is varied. In \\cite{ALSSY} a model of this phenomenon has been analyzed rigorously. The gas is a hard core lattice gas and the optical lattice is modeled by a periodic potential of strength $\\lambda$. For small $\\lambda$ and temperature Bose-Einstein condensation (BEC) is proved to occur, while at large $\\lambda$ BEC disappears, even in the ground state, which is a Mott-insulator state with a characteristic gap. The inter-particle interaction is essential for this effect. This contribution gives a pedagogical survey of these results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-01T20:14:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum phase transition",
      "optical lattice",
      "hard core lattice gas",
      "ultracold bose gases",
      "bose einstein condensate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat.12034A"
    }
  }
}