We present results from a detailed Quantum Monte Carlo study of BEC appliedto JILA experiment [Jin et al Phys. Rev. Lett. $\bf 78$, 764, 1997][1]. This isthe first Monte Carlo approach(based on Feynman-Kac path integral method) tothe above problem where good qualitative agreement is found for both the lowestlying $m=2$ and $m=0$ modes. We found an upward shift of the experimental datafor $m=0$ mode at around $ T=0.7 T_0 $ ($T_0$ is defined as the predicted BECtransition temperature for harmonically confined ideal gas) when the effect ofnoncondensate was considered.
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机译：我们介绍了BEC应用于JILA实验的详细量子蒙特卡洛研究的结果[Jin et al。牧师$ \ bf 78 $，764，1997] [1]。这是针对上述问题的第一个蒙特卡洛方法（基于Feynman-Kac路径积分法），其中最低的$ m = 2 $和$ m = 0 $模式都找到了良好的定性一致性。我们发现，当考虑非冷凝物的影响时，$ m = 0 $模式的实验数据在$ T = 0.7 T_0 $时（$ T_0 $被定义为谐波约束理想气体的预测BEC转变温度）向上移动。
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