Abstract The ground-state properties of a system with a small number of interacting bosons over a wide range of densities are investigated. The system is confined in a two-dimensional isotropic harmonic trap, where the interaction between bosons is treated as a hard-core potential. By using variational Monte Carlo method, we diagonalize the one-body density matrix of the system to obtain the ground-state energy, condensate wavefunction and the condensate fraction. We find that in the dilute limit the depletion of central condensate in the 2D system is larger than in a 3D system for the same interaction strength; however as the density increases, the depletion at the centre of 2D trap will be equal to or even lower than that at the centre of 3D trap, which is in agreement with the anticipated in Thomas--Fermi approximation. In addition, in the 2D system the total condensate depletion is still larger than in a 3D system for the same scattering length.
Received: 27 December 2005
Revised: 18 May 2006
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
Fund: Project supported by the Outstanding Young Researcher's Foundation of Hunan
Province of China (Grant No 03JJY1001).
Cite this article:
Zheng Rong-Jie(郑荣杰), Jin Jing(金晶), and Tang Yi(唐翌) Variational Monte Carlo analysis of Bose--Einstein condensation in a two-dimensional trap 2006 Chinese Physics 15 1960
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