Dynamics of Bose-Einstein condensates

Abstract

We obtain exact solutions of the nonlinear Schrodinger equation, the discrete nonlinear Schrodinger equation, the two and three coupled nonlinear Schrodinger equations which describe the dynamics of one component, two component and spinor Bose-Einstein condensates with the short-range on-site interactions, the long-range dipole-dipole interactions, the time-dependent interatomic interaction near Feshbach resonance in an external potential. We find one-, two-, and three-component solitons of the polar and ferromagnetic types in spinor Bose-Einstein condensates. We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice.