Local density approximation for confined bosons in an optical lattice

Abstract

We investigate local and global properties of the one-dimensional Bose-Hubbard model with an external confining potential, describing an atomic condensate in an optical lattice. Using quantum Monte Carlo techniques we demonstrate that a local-density approximation, which relates the unconfined and the confined model, yields quantitatively correct results in most of the interesting parameter range. We also examine claims of universal behavior in the confined system, and demonstrate the origin of a previously calculated fine structure in the experimentally accessible momentum distribution.

7 pages, 11 figures; Section III updated and references added

References in corpus (10)

• Cold bosonic atoms in optical lattices
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
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• Local quantum criticality in confined fermions on optical lattices
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• Spatial correlations of trapped 1d bosons in an optical lattice
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
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Cited by in corpus (32)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• 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
• Bosons in one-dimensional incommensurate superlattices
• Ultracold bosons with short-range interaction in regular optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Temperature changes when adiabatically ramping up an optical lattice
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• Superfluid--Mott insulator transition of ultracold superradiant bosons in a cavity
• Interacting bosons in an optical lattice
• Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
• Canonical Trajectories and Critical Coupling of the Bose-Hubbard Hamiltonian in a Harmonic Trap
• Ferromagnetism in a two-component Bose-Hubbard model with a synthetic spin-orbit coupling
• Probing correlated phases of bosons in optical lattices via trap squeezing
• The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory
• One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
• Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
• Bose-Hubbard Models in Confining Potentials: An Inhomogeneous Mean-Field Theory
• Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
• 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
• Rotating states for trapped bosons in an optical lattice
• Monte Carlo Study of an Inhomogeneous Blume-Capel Model
• 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
• Density fluctuations of a hard-core Bose gas in a one-dimensional lattice
• Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Mott transition in anharmonic confinement
• Mott insulator dynamics