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Exact Analysis of Soliton Dynamics in Spinor Bose-Einstein Condensates

Jun'ichi Ieda·Takahiko Miyakawa·Miki Wadati
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Abstract

We propose an integrable model of a multicomponent spinor Bose-Einstein condensate in one dimension, which allows an exact description of the dynamics of bright solitons with spin degrees of freedom. We consider specifically an atomic condensate in the F=1 hyperfine state confined by an optical dipole trap. When the mean-field interaction is attractive (c_0 < 0) and the spin-exchange interaction of a spinor condensate is ferromagnetic (c_2 < 0), we prove that the system possesses a completely integrable point leading to the existence of multiple bright solitons. By applying results from the inverse scattering method, we analyze a collision law for two-soliton solutions and find that the dynamics can be explained in terms of the spin precession.

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Jun'ichi Ieda, Takahiko Miyakawa, Miki Wadati. 2004-11-04. Exact Analysis of Soliton Dynamics in Spinor Bose-Einstein Condensates. https://doi.org/10.1103/physrevlett.93.194102

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