Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interfacial tension and wall energy of a Bose-Einstein condensate binary
  mixture: triple-parabola approximation   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 $\xi_1$ and $\xi_2$. 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.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph