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arXiv 1202.3489cond-mat.quant-gas
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外势场中玻色-爱因斯坦凝聚体的凝聚形变和量子耗尽

Condensate deformation and quantum depletion of Bose-Einstein condensates in external potentials

C. A. Müller, C. Gaul

摘要:

利用非齐次Bogoliubov理论计算了外势场中弱相互作用凝聚玻色子的单体密度矩阵。我们确定了平均场水平上的弱外势引起的凝聚变形。解析地得到了变形基态周围量子涨落的动量分布,最后计算了由此产生的量子耗尽。由于外部电势引起的损耗,或者简称为电势损耗,是对均匀损耗的一个小的修正,验证了我们的非均匀Bogoliubov理论。弱晶格和空间相关的随机势的分析结果,推导出简单的,普遍的结果在非常光滑的电位的Fermas-Fermi极限。

英文摘要:

The one-body density matrix of weakly interacting, condensed bosons in external potentials is calculated using inhomogeneous Bogoliubov theory. We determine the condensate deformation caused by weak external potentials on the mean-field level. The momentum distribution of quantum fluctuations around the deformed ground state is obtained analytically, and finally the resulting quantum depletion is calculated. The depletion due to the external potential, or potential depletion for short, is a small correction to the homogeneous depletion, validating our inhomogeneous Bogoliubov theory. Analytical results are derived for weak lattices and spatially correlated random potentials, with simple, universal results in the Thomas-Fermi limit of very smooth potentials.

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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