Interfacial tension and wall energy of a Bose-Einstein condensate binary mixture: triple-parabola approximation

Zehui Deng; Bert Van Schaeybroeck; Chang-You Lin; Nguyen Van Thu; Joseph O. Indekeu

doi:10.1016/j.physa.2015.10.063

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arXiv · 1511.04951

Interfacial tension and wall energy of a Bose-Einstein condensate binary mixture: triple-parabola approximation

Zehui Deng·Bert Van Schaeybroeck·Chang-You Lin·Nguyen Van Thu·Joseph O. Indekeu

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Abstract

Accurate and useful analytic approximations are developed for order parameter profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates. The pure condensates 1 and 2, each of which contains a particular species of atoms, feature healing lengths $ξ_1$ and $ξ_2$. The inter-atomic interactions are repulsive. In particular, the effective inter-species repulsive interaction strength is $K$. A triple-parabola approximation (TPA) is proposed, to represent closely the energy density featured in Gross-Pitaevskii (GP) theory. This TPA allows us to define a model, which is a handy alternative to the full GP theory, while still possessing a simple analytic solution. The TPA offers a significant improvement over the recently introduced double-parabola approximation (DPA). In particular, a more accurate amplitude for the wall energy (of a single condensate) is derived and, importantly, a more correct expression for the interfacial tension (of two condensates) is obtained, which describes better its dependence on $K$ in the strong segregation regime, while also the interface profiles undergo a qualitative improvement.

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Zehui Deng, Bert Van Schaeybroeck, Chang-You Lin, Nguyen Van Thu, Joseph O. Indekeu. 2015-11-16. Interfacial tension and wall energy of a Bose-Einstein condensate binary mixture: triple-parabola approximation. https://doi.org/10.1016/j.physa.2015.10.063

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