An inequality for spinor Bose-Einstein condensates

Abstract

An inequality for spin-$F$ Bose-Einstein condensates (BECs) $F^2({\rho }^2-|\Theta {|}^2)-{\mathbf{M}}^2\ge 0$ is reported, where $\rho$, $\Theta$, and $\mathbf{M}$ 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.

arXiv comment3 pages, 2 figures, final version published in J. Phys. Soc. Jpn

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Cited by in corpus (1)

• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids