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Bosons confined in optical lattices: the numerical renormalization group revisited

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Abstract
A Bose-Hubbard model, describing bosons in a harmonic trap with a superimposed optical lattice, is studied using a fast and accurate variational technique (MF+NRG): the Gutzwiller mean-field (MF) ansatz is combined with a numerical renormalization group (NRG) procedure in order to improve on both. Results are presented for one, two, and three dimensions, with particular attention to the experimentally accessible momentum distribution and possible satellite peaks in this distribution. In one dimension, a comparison is made with exact results obtained using stochastic series expansion.
Keywords
SUPERFLUID-INSULATOR-TRANSITION, BOSE-HUBBARD MODEL, MOTT INSULATOR, MONTE-CARLO, PHASE, LOCALIZATION, SYSTEMS, SUPERSOLIDS, GRAINS, ATOMS

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Citation

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MLA
Pollet, Lode, et al. “Bosons Confined in Optical Lattices: The Numerical Renormalization Group Revisited.” PHYSICAL REVIEW A, vol. 69, no. 4, 2004, doi:10.1103/PhysRevA.69.043601.
APA
Pollet, L., Rombouts, S., Heyde, K., & Dukelsky, J. (2004). Bosons confined in optical lattices: the numerical renormalization group revisited. PHYSICAL REVIEW A, 69(4). https://doi.org/10.1103/PhysRevA.69.043601
Chicago author-date
Pollet, Lode, Stefan Rombouts, Kristiaan Heyde, and J Dukelsky. 2004. “Bosons Confined in Optical Lattices: The Numerical Renormalization Group Revisited.” PHYSICAL REVIEW A 69 (4). https://doi.org/10.1103/PhysRevA.69.043601.
Chicago author-date (all authors)
Pollet, Lode, Stefan Rombouts, Kristiaan Heyde, and J Dukelsky. 2004. “Bosons Confined in Optical Lattices: The Numerical Renormalization Group Revisited.” PHYSICAL REVIEW A 69 (4). doi:10.1103/PhysRevA.69.043601.
Vancouver
1.
Pollet L, Rombouts S, Heyde K, Dukelsky J. Bosons confined in optical lattices: the numerical renormalization group revisited. PHYSICAL REVIEW A. 2004;69(4).
IEEE
[1]
L. Pollet, S. Rombouts, K. Heyde, and J. Dukelsky, “Bosons confined in optical lattices: the numerical renormalization group revisited,” PHYSICAL REVIEW A, vol. 69, no. 4, 2004.
@article{313269,
  abstract     = {{A Bose-Hubbard model, describing bosons in a harmonic trap with a superimposed optical lattice, is studied using a fast and accurate variational technique (MF+NRG): the Gutzwiller mean-field (MF) ansatz is combined with a numerical renormalization group (NRG) procedure in order to improve on both. Results are presented for one, two, and three dimensions, with particular attention to the experimentally accessible momentum distribution and possible satellite peaks in this distribution. In one dimension, a comparison is made with exact results obtained using stochastic series expansion.}},
  articleno    = {{043601}},
  author       = {{Pollet, Lode and Rombouts, Stefan and Heyde, Kristiaan and Dukelsky, J}},
  issn         = {{1050-2947}},
  journal      = {{PHYSICAL REVIEW A}},
  keywords     = {{SUPERFLUID-INSULATOR-TRANSITION,BOSE-HUBBARD MODEL,MOTT INSULATOR,MONTE-CARLO,PHASE,LOCALIZATION,SYSTEMS,SUPERSOLIDS,GRAINS,ATOMS}},
  language     = {{eng}},
  number       = {{4}},
  title        = {{Bosons confined in optical lattices: the numerical renormalization group revisited}},
  url          = {{http://doi.org/10.1103/PhysRevA.69.043601}},
  volume       = {{69}},
  year         = {{2004}},
}

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