arXiv 1508.054822015-08-22cond-mat.quant-gas

准一维玻色-爱因斯坦凝聚体在简谐阱和韧窝阱中的静动力学

Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap

Javed Akram, Axel Pelster

DOI：: 10.1088/1054-660X/26/6/065501

摘要：

本文研究了准一维$^{87}\text{Rb}$玻色-爱因斯坦凝聚体在一个中心有附加陷窝阱的谐振子阱中的凝聚.在一个零温度的Gross-Pitaevskii平均场描述，我们提供了一个一维的物理直观模型，我们解决了时间无关的变分方法和数值计算。有了这个，我们得到在第一次出现的凝聚波函数的平衡结果，揭示了一个凹坑陷阱的潜力，分别在红色或蓝色失谐高斯激光束的情况下，引起一个凸起或一个下降。之后，我们研究如何DT诱导的碰撞/浸渍印记后的冷凝波函数演变为两个淬火方案。首先，我们考虑谐波约束被释放的一般情况。在由此产生的飞行时间扩展过程中，结果证明，在冷凝物波函数中的dT诱导的隆起仍然存在，而下降开始衰减后，随着增加的蓝色失谐的dT深度的特征时间尺度。其次，一旦红色或蓝色失谐的dT被关闭，我们发现，明亮的冲击波或灰色/黑暗的双孤子串出现的谐振限制内的特征频率振荡。

英文摘要：

We investigate a quasi one-dimensional $^{87}\text{Rb}$ Bose-Einstein condensate in a harmonic trap with an additional dimple trap (dT) in the center. Within a zero-temperature Gross-Pitaevskii mean-field description we provide a one-dimensional physical intuitive model, which we solve by both a time-independent variational approach and numerical calculations. With this we obtain at first equilibrium results for the emerging condensate wave function which reveal that a dimple trap potential induces a bump or a dip in case of a red- or a blue-detuned Gaussian laser beam, respectively. Afterwards, we investigate how this dT induced bump/dip-imprint upon the condensate wave function evolves for two quench scenarios. At first we consider the generic case that the harmonic confinement is released. During the resulting time-of-flight expansion it turns out that the dT induced bump in the condensate wave function remains present, whereas the dip starts decaying after a characteristic time scale which decreases with increasing blue-detuned dT depth. Secondly, once the red- or blue-detuned dT is switched off, we find that bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within the harmonic confinement with a characteristic frequency.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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