Simulations of dynamics for wavepackets made by two-component Bose-Einstein condensates in Alkali-atom gases

In relation with remarkable time-evolution measurements of JILA reported in Hall et al. (Phys. Rev. Lett. 81 (1998) 1539) where Bose condensates of 87Rb for different hyperfine states Ψ1= vertical bar F=1,m=-1> and Ψ2= vertical bar F=2,m=1> can be confined under various conditions in harmonic traps, we calculate the dynamic simulation for wavepackets Ψ1 and Ψ2 by the coupled time-dependent Gross-Pitaevskii equations. In fact, we give relative sag to both states in center of the trap following to experimental conditions: As a result of calculation, Ψ1 and Ψ2 show the phase-separation indicating the vibrational motions with the out-of-phase behavior. As for variations of centers of masses and interpenetrative motions of wavepackets bouncing back, the agreements between the present numerical results and experiments of JILA are quite well