Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited

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 Stochastich Series Expansion.

10 pages, 15 figures

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Cited by in corpus (25)

• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
• Coherent and dissipative dynamics at quantum phase transitions
• Dynamics of the superfluid to Mott insulator transition in one dimension
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Mixtures of strongly interacting bosons in optical lattices
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• Optimal Monte Carlo Updating
• Local density approximation for confined bosons in an optical lattice
• Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime
• The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory
• One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
• Bose-Hubbard Models in Confining Potentials: An Inhomogeneous Mean-Field Theory
• Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
• Hyperfine spectra of trapped Bosons in optical lattices
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems
• Many-body physics in the radio frequency spectrum of lattice bosons
• Studies of bosons in optical lattices in a harmonic potential
• Lattice bosons in quartic confinement
• Quantum critical properties of Bose-Hubbard models
• Bose-Hubbard model with occupation-parity couplings
• The one-dimensional Bose-Fermi-Hubbard model in the limit of fast fermions