Feshbach resonance management of vector solitons in two-component Bose–Einstein condensates

We consider two coupled Gross-Pitaevskii equations describing a two-component Bose-Einstein condensates with time-dependent atomic interactions loaded in an external harmonic potential, and investigate the dynamics of vector solitons. By using a direct method, we construct a novel family of vector soliton solutions, which are the linear combination between dark and bright solitons in each component. Our results show that due to the superposition between dark and bright solitons, such vector solitons possess many novel and interesting properties. The dynamics of vector solitons can be controlled by Feshbach resonance technique, and the vector solitons can keep the dynamic stability against the variation of the scattering length.