2015/02/02 by Joseph O. Indekeu, Chang-You Lin, Nguyễn Văn Thụ +4 · 1 citation
Mathematics · Physics and Astronomy · #Binary number #Bose–Einstein condensate #Boundary (topology) #Cold Atom Physics and Bose-Einstein Condensates #Density functional theory #Mathematical analysis #Mathematical physics #Mathematics #Optics #Parabola #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Surface tension #Thermodynamics #Wetting #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.91.033615
published as Phys. Rev. A 91, 033615 (2015) · 24 pages, 6 figures
arxiv created 2015/02/02 · openalex publication_date 2015/03/13 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The 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 \ensuremathξ1 and \ensuremathξ2 and by the interspecies repulsive interaction K. An exact solution to the Gross-Pitaevskii (GP) equations is obtained for the special case \ensuremathξ2/\ensuremathξ1=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 \ensuremathξ1,\phantom\rule0.28em0ex\ensuremathξ2, 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.