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arXiv 0807.5062cond-mat.othercond-mat.stat-mechquant-ph
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碰撞玻色-爱因斯坦凝聚体中的原子-原子关联

Atom-atom correlations in colliding Bose-Einstein condensates

Magnus Ogren, K. V. Kheruntsyan

摘要:

我们分析了两个碰撞凝聚体s波散射晕中的原子-原子关联。通过发展一个简单的微扰方法,我们得到明确的分析结果的共线(CL)和背靠背(BB)的相关性对应的现实密度分布的碰撞凝聚相互作用。在短的时间限制的结果是一致的第一性原理模拟使用积极的$P$表示,并提供分析的见解Perrin等人的实验观察。99,150405(2007)]。对于长的碰撞持续时间,我们预测,BB相关性变得更广泛的CL相关性。

英文摘要:

We analyze atom-atom correlations in the s-wave scattering halo of two colliding condensates. By developing a simple perturbative approach, we obtain explicit analytic results for the collinear (CL) and back-to-back (BB) correlations corresponding to realistic density profiles of the colliding condensates with interactions. The results in the short time limit are in agreement with the first-principles simulations using the positive-$P$ representation and provide analytic insights into the experimental observations of Perrin et al. [Phys. Rev. Lett. 99, 150405 (2007)]. For long collision durations, we predict that the BB correlation becomes broader than the CL correlation.

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