{
  "id": "1107.1314",
  "version": "v2",
  "published": "2011-07-07T08:30:09.000Z",
  "updated": "2011-10-19T11:17:01.000Z",
  "title": "Quantum criticality of a Bose gas in an optical lattice near the Mott transition",
  "authors": [
    "A. Rancon",
    "N. Dupuis"
  ],
  "comment": "v1) 4 pages, 6 figures. v2) Significant rewriting (new title) with more emphasis on the quantum critical behavior near the Mott transition",
  "journal": "Phys. Rev. A 85, 011602(R) (2012)",
  "doi": "10.1103/PhysRevA.85.011602",
  "categories": [
    "cond-mat.quant-gas"
  ],
  "abstract": "We derive the equation of state of bosons in an optical lattice in the framework of the Bose-Hubbard model. Near the density-driven Mott transition, the expression of the pressure P({\\mu},T) versus chemical potential and temperature is similar to that of a dilute Bose gas but with renormalized mass m^* and scattering length a^*. m^* is the mass of the elementary excitations at the quantum critical point governing the transition from the superfluid phase to the Mott insulating phase, while a^* is related to their effective interaction at low energy. We use a nonperturbative renormalization-group approach to compute these parameters as a function of the ratio t/U between hopping amplitude and on-site repulsion.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-19T11:17:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "67.85.-d",
      "03.75.Hh",
      "05.30.Jp",
      "05.30.Rt"
    ],
    "keywords": [
      "optical lattice",
      "quantum criticality",
      "density-driven mott transition",
      "dilute bose gas",
      "bose-hubbard model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2012,
      "month": "Jan",
      "volume": 85,
      "number": 1,
      "pages": "011602"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..85a1602R"
    }
  }
}