Dark solitons in F=1 spinor Bose--Einstein condensate

Details Dark solitons in F=1 spinor Bose--Einstein condensate Dark solitons in F=1 spinor Bose--Einstein condensate

2006-03-03

arxiv.org/abs/cond-mat/0603070v1

J. Phys. Soc. Jpn. Vol.75, 064002 (2006)

Physics

Condensed Matter

Other Condensed Matter

19 pages, 3 figures

Scientific paper

10.1143/JPSJ.75.064002

We study dark soliton solutions of a multi-component Gross--Pitaevskii equation for hyperfine spin F=1 spinor Bose--Einstein condensate. The interactions are supposed to be inter-atomic repulsive and anti-ferromagnetic ones of equal magnitude. The solutions are obtained from those of an integrable $2\times 2$ matrix nonlinear Schr\"{o}dinger equation with nonvanishing boundary conditions. We investigate the one-soliton and two-soliton solutions in detail. One-soliton is classified into two kinds. The ferromagnetic state has wavefunctions of domain-wall shape and its total spin is nonzero. The polar state provides a hole soliton and its total spin is zero. These two states are selected by choosing the type of the boundary conditions. In two-soliton collisions, we observe the spin-mixing or spin-transfer. It is found that, as "magnetic" carriers, solitons in the ferromagnetic state are operative for the spin-mixing while those in the polar are passive.

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