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arXiv 1909.13616cond-mat.quant-gasquant-ph
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用位置、动量和angular-momentum方差分析囚禁的玻色-爱因斯坦凝聚体

Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance

Ofir E. Alon

摘要:

我们分析,解析和数值,位置,动量,特别是角动量方差的玻色-爱因斯坦凝聚体(BEC)被困在一个二维各向异性陷阱的静态和动态的情况。在平均场水平的方差之间的差异,这是由于形状的BEC,和方差在多体水平,其中包括耗尽,被用来表征位置,动量,角动量的相关性在有限系统的BEC和在一个无限数量的粒子的限制,其中玻色子是$100\%$凝聚。最后,我们还探讨了差异之间的相互联系。

英文摘要:

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The differences between the variances at the mean-field level, which are attributed to the shape of the BEC, and the variances at the many-body level, which incorporate depletion, are used to characterize position, momentum, and angular-momentum correlations in the BEC for finite systems and at the limit of an infinite number of particles where the bosons are $100\%$ condensed. Finally, we also explore inter-connections between the variances.

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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