Correlation effects in the ground state of trapped atomic Bose gases
arXiv:cond-mat/0506219 · doi:10.1103/PhysRevA.72.053610
Abstract
We study the effects of many-body correlations in trapped ultracold atomic Bose gases. We calculate the ground state of the gas using a ground-state auxiliary-field quantum Monte Carlo (QMC) method [Phys. Rev. E 70, 056702 (2004)]. We examine the properties of the gas, such as the energetics, condensate fraction, real-space density, and momentum distribution, as a function of the number of particles and the scattering length. We find that the mean-field Gross-Pitaevskii (GP) approach gives qualitatively incorrect result of the kinetic energy as a function of the scattering length. We present detailed QMC data for the various quantities, and discuss the behavior of GP, modified GP, and the Bogoliubov method under a local density approximation.
arXiv comment11 pages, 12 figures, as typeset using REVTEX4. Submitted to Phys. Rev. A
References in corpus (17)
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- A Constrained Path Monte Carlo Method for Fermion Ground States
- Quantum Monte Carlo method using phase-free random walks with Slater determinants
- Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
- Sympathetic cooling of bosonic and fermionic Lithium gases towards quantum degeneracy
- Microscopic Treatment of Binary Interactions in the Non-Equilibrium Dynamics of Partially Bose-condensed Trapped Gases
- Near Resonant Spatial Images of Confined Bose-Einstein Condensates in the '4D' Magnetic Bottle
- Bose-Einstein condensation in trapped bosons: A Variational Monte Carlo analysis
- Beyond Gross-Pitaevskii:local density vs. correlated basis approach for trapped bosons
- Quantum Monte Carlo method for the ground state of many-boson systems
- Beyond Fermi pseudopotential: a modified GP equation
- Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate
- Quantum corrections to the ground state energy of a trapped Bose-Einstein condensate: A diffusion Monte Carlo calculation
- Issues and Observations on Applications of the Constrained-Path Monte Carlo Method to Many-Fermion Systems
- Natural Orbitals and BEC in traps, a diffusion Monte Carlo analysis
- Bose-Einstein Condensates in the Large Gas Parameter Regime
- Energy and structure of dilute hard- and soft-sphere gases
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