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 and Joseph O. Indekeu

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 1027-1040

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 ξ1 and ξ2. The inter-atomic interactions are repulsive. In particular, the reduced 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.

Keywords: Ultracold gases; Bose–Einstein condensation; Interfacial tension (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:1027-1040

DOI: 10.1016/j.physa.2015.10.063

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