Variational Monte Carlo analysis of Bose-Einstein condensation in a two-dimensional trap
Variational Monte Carlo analysis of Bose-Einstein condensation in a two-dimensional trap作者机构：Institute of Modern Physics Xiangtan University Xiangtan 411105 China
出 版 物：《Chinese Physics B》 (中国物理B（英文版）)
年 卷 期：2006年第15卷第9期
页 面：1960-1964页
核心收录：
学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学]
基 金：the Outstanding Young Researcher's Foundation of Hunan Province of China (Grant 03JJY1001)
主 题：Bose-Einstein condensation variational Monte Carlo method two-dimensional trap
摘 要：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.
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