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arXiv quant-ph/9810094quant-ph
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双势阱中玻色-爱因斯坦凝聚体的空间碎裂

Spatial fragmentation of a Bose-Einstein condensate in a double-well potential

R. W. Spekkens, J. E. Sipe

摘要:

利用限制性变分原理,对双势阱中粒子间相互作用具有排斥性的玻色-爱因斯坦凝聚体的基态进行了理论研究。在这种方法中,随着势的中心势垒的强度增加,存在从单个凝聚体到碎片凝聚体的过渡。我们确定这种过渡的性质,通过近似的解析以及数值解我们的模型中的政权,粒子间的相互作用可以微扰处理。凝聚体的破碎程度由跨越势垒的一阶和二阶空间相干性的程度表征。

英文摘要:

We present a theoretical study of the ground state of a Bose-Einstein condensate with repulsive inter-particle interactions in a double-well potential, using a restricted variational principle. Within such an approach, there is a transition from a single condensate to a fragmented condensate as the strength of the central barrier of the potential is increased. We determine the nature of this transition through approximate analytic as well as numerical solutions of our model in the regime where the inter-particle interactions can be treated perturbatively. The degree of fragmentation of the condensate is characterized by the degrees of first-order and second-order spatial coherence across the barrier.

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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