期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 75, 期 6, 页码 -出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.75.064002
关键词
Bose-Einstein condensate; integrable; nonlinear Schrodinger equation; multi-component; dark soliton; magnetic property
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 x 2 matrix nonlinear Schrodinger 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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