Study On The Spin Dynamics Of Spinor BEC

Spinor Bose-Einstein condensate(BEC)is an important object in the study of ultra-cold atom systems,the dynamics of Spinor BEC can be modeled by the Gross-Pitaevskii equations.By virtue of sine-cosine method,in this thesis,we find some exact solutions respectively for the 3-and 2-component Gross-Pitaevskii systems,including periodic solutions and solitary wave solutions.Based on these solutions,the pseudo-spin vectors are presented explicitly so that the spin dynam-ics of the spinor BEC are described exactly.Furthermore,we give a discussion for the phenomenon of quantum magnetism of the spinor BEC.