%0 Journal Article
%T An inequality for spinor Bose-Einstein condensates
%A Daisuke A. Takahashi
%J Physics
%D 2014
%I arXiv
%R 10.7566/JPSJ.84.025001
%X An inequality for spin-$F$ Bose-Einstein condensates (BECs) $ F^2(\rho^2-|\Theta|^2)-\boldsymbol{M}^2\ge0 $ is reported, where $\rho$, $\Theta$, and $\boldsymbol{M}$ represent the density, singlet pair amplitude, and magnetization vector, respectively. The distribution of high-symmetry spinors in the allowed region by the inequality is elucidated with using the Majorana representation. The result is illustrated by the example of spin-2 BECs.
%U http://arxiv.org/abs/1410.7517v2