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arXiv 0710.4610cond-mat.other
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有限温度下一维光晶格中囚禁玻色气体凝聚振荡的阻尼

Damping of Condensate Oscillation of a Trapped Bose Gas in a One-Dimensional Optical Lattice at Finite Temperatures

Emiko Arahata, Tetsuro Nikuni

摘要:

研究了有限温度下雪茄形谐振子势阱和一维光晶格势联合作用下玻色凝聚气体中偶极振荡的阻尼。为了考虑径向热激励的影响,我们导出了Gross-Pitaeavskii方程和Bogoliubov方程的准一维模型。我们使用波波夫近似计算的冷凝分数与不同的晶格深度的温度依赖性。然后,我们计算了作为晶格深度和温度的函数的偶极振荡的朗道阻尼率。阻尼率随着晶格深度的增加而增加,这与实验观察结果一致。阻尼率的大小是在合理的协议与实验数据。我们还发现,阻尼率有很强的温度依赖性,表现出急剧增加,随着温度的升高。最后,我们强调了径向热激发在平衡性质和朗道阻尼中的重要性。

英文摘要:

We study damping of a dipole oscillation in a Bose-Condensed gas in a combined cigar-shaped harmonic trap and one-dimensional (1D) optical lattice potential at finite temperatures. In order to include the effect of thermal excitations in the radial direction, we derive a quasi-1D model of the Gross-Pitaeavskii equation and the Bogoliubov equations. We use the Popov approximation to calculate the temperature dependence of the condensate fraction with varying lattice depth. We then calculate the Landau damping rate of a dipole oscillation as a function of the lattice depth and temperature. The damping rate increases with increasing lattice depth, which is consistent with experimental observations. The magnitude of the damping rate is in reasonable agreement with experimental data. We also find that the damping rate has a strong temperature dependence, showing a sharp increase with increasing temperature. Finally, we emphasize the importance of the radial thermal excitations in both equilibrium properties and the Landau damping.

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