Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale
Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale
复制标题
DOI：
10.1103/physreva.73.063619
复制
发表时间：
2006-03
期刊：
影响因子：
--
通讯作者：
I. Khan;B. Gao
中科院分区：
文献类型：
--
作者：
I. Khan;B. Gao
我们提出了一个变分蒙特卡罗(VMC)形式的万有态方程在范德华长度标度[B.Gao，J.Phys。B-extbf{37}，L227(2004)]表示陷阱中的$N$玻色原子。该理论既说明了如何准确地计算这样的状态方程，也说明了在强约束下原子-原子长程关联的存在和重要性。给出了N=3和5的显式数值结果，并用于定量地理解形状相关的约束修正，这对于强约束下的少数原子是重要的。
We present a variational Monte Carlo (VMC) formulation for the universal equations of state at the Van der Waals length scale [B. Gao, J. Phys. B \textbf{37}, L227 (2004)] for $N$ Bose atoms in a trap. The theory illustrates both how such equations of state can be computed exactly, and the existence and the importance of long-range atom-atom correlation under strong confinement. Explicit numerical results are presented for N=3 and 5, and used to provide a quantitative understanding of the shape-dependent confinement correction that is important for few atoms under strong confinement.