## Bifurcation between 2-component and 3-component ground states of spin-1 Bose-Einstein condensates in uniform magnetic fields    [PDF]

Liren Lin, I-Liang Chern
We study antiferromagnetic spin-1 Bose-Einstein condensates under external uniform magnetic fields. The bifurcation between two-component and three-component regimes of ground states with respect to the magnetization and the quadratic Zeeman effect is justified. The proof is based on the technique of "mass redistribution" introduced in the authors previous work, which gives interesting inequalities and equalities satisfied by ground states. Some open problems arising naturally from our investigation are also discussed in the end.
View original: http://arxiv.org/abs/1302.0279