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arXiv 1502.00419cond-mat.stat-mechcond-mat.quant-gas
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玻色-爱因斯坦凝聚体混合物的静态界面性质

Static interfacial properties of Bose-Einstein condensate mixtures

Joseph O. Indekeu, Chang-You Lin, Nguyen Van Thu, Bert Van Schaeybroeck, Tran Huu Phat

备注：
24 pages, 6 figures
发表信息：
Phys. Rev. A 91, 033615 (2015)
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摘要：

从理论上研究了玻色-爱因斯坦凝聚体二元分相混合体系的界面轮廓和界面张力。这两种凝聚物的特征在于它们各自的愈合长度$ξ_1$和$ξ_2$以及种间排斥相互作用$K$。对于特殊情形$ξ_2/ξ_1 = 1/2$和$K = 3/2$，得到了Gross-Pitaevskii（GP）方程的精确解.此外，将双抛物线近似（DPA）应用于GP理论中的能量密度，使我们能够定义一个DPA模型，它比GP理论更容易处理，但仍然捕获了主要的物理学。特别是，一个紧凑的界面张力的解析表达式推导出，是有用的所有$ξ_1, ξ_2$和$K$。应用润湿现象的冷凝物吸附在光学壁。在DPA模型中得到的润湿相边界与GP理论中的精确边界几乎一致。

英文摘要：

Interfacial profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates are studied theoretically. The two condensates are characterized by their respective healing lengths $ξ_1$ and $ξ_2$ and by the inter-species repulsive interaction $K$. An exact solution to the Gross-Pitaevskii (GP) equations is obtained for the special case $ξ_2/ξ_1 = 1/2$ and $K = 3/2$. Furthermore, applying a double-parabola approximation (DPA) to the energy density featured in GP theory allows us to define a DPA model, which is much simpler to handle than GP theory but nevertheless still captures the main physics. In particular, a compact analytic expression for the interfacial tension is derived that is useful for all $ξ_1, ξ_2$ and $K$. An application to wetting phenomena is presented for condensates adsorbed at an optical wall. The wetting phase boundary obtained within the DPA model nearly coincides with the exact one in GP theory.

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