空间不均匀性在囚禁分子凝聚体解离中的作用
Role of spatial inhomogeneity in dissociation of trapped molecular condensates
摘要：
本文从理论上分析了二聚体的玻色-爱因斯坦凝聚体的离解过程，研究了凝聚体的空间不均匀性如何影响短时间内的转换动力学和原子-原子对关联.费米子和玻色子统计的组成原子被认为是。在非耗尽分子场近似下，我们得到了一维、二维和三维空间中二阶关联函数的渐近行为和离解原子间的相对数压缩的解析结果.与数值计算结果的比较表明，这里采用的分析方法捕捉到的主要基础物理，并提供了有用的见解解离的动力学转换效率高达10%。结果表明，原子-原子关联强度和相对数压缩随凝聚体尺寸的减小而降低。
英文摘要：
We theoretically analyze dissociation of a harmonically trapped Bose-Einstein condensate of molecular dimers and examine how the spatial inhomogeneity of the molecular condensate affects the conversion dynamics and the atom-atom pair correlations in the short-time limit. Both fermionic and bosonic statistics of the constituent atoms are considered. Using the undepleted molecular-field approximation, we obtain explicit analytic results for the asymptotic behavior of the second-order correlation functions and for the relative number squeezing between the dissociated atoms in one, two and three spatial dimensions. Comparison with the numerical results shows that the analytic approach employed here captures the main underlying physics and provides useful insights into the dynamics of dissociation for conversion efficiencies up to 10%. The results show explicitly how the strength of atom-atom correlations and relative number squeezing degrade with the reduction of the size of the molecular condensate.
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