囚禁玻色气体有限温度集体模的PGPE理论
PGPE theory of finite temperature collective modes for a trapped Bose gas
摘要：
我们发展了基于投影Gross Pitaevskii方程来模拟Jin等人[PRL 78，764（1997）]的有限温度集体模实验的形式化。我们研究了温度范围$0.51T_c-0.83T_c$上的$m=0$和$m=2$四极模，并计算了凝聚态和非凝聚态模之间的频率和相位，以及凝聚态模的阻尼率。这项研究是第一次定量比较的预测Gross-Pitaevskii方程的实验结果在动态制度。
英文摘要：
We develop formalism based on the projected Gross Pitaevskii equation to simulate the finite temperature collective mode experiments of Jin et al. [PRL 78, 764 (1997)]. We examine the $m=0$ and $m=2$ quadrupolar modes on the temperature range $0.51T_c-0.83T_c$ and calculate the frequencies of, and phase between, the condensate and noncondensate modes, and the condensate mode damping rate. This study is the first quantitative comparison of the projected Gross-Pitaevskii equation to experimental results in a dynamical regime.
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