The stability of three coupled Bose-Einstein condensate (BEC) solitons is investigated by the variational approach in two conventional time-independent trapping potentials.
The stability of three coupled Bose-Einstein condensate (BEC) solitons is investigated by the variational approach in two conventional time-independent trapping potentials. The effects of parameters of the potentials and the initial conditions of the BEC soliton system on the stationary state and self-trapping are discussed. It is found that the trapping potentials play an important role in the stability of the system and change the characteristics of the system, and there are different critical potential amplitude values corresponding to different trapping potentials and initial conditions of the BEC soliton system.
The evolution characteristics of the 2-dimension cake-shaped Bose-Einstein Condensate(BEC) soliton trapped in an anisotropy trap are investigated by solving the Gross-Pitaevskii equation with a variational approach.It is found that by introducing an optical lattice potential into certain direction in a columniform symmetrical magnetic trap,a BEC soliton can tend to be stable in that direction and its stability may increase due to the decrease of the soliton expansion in other directions as a result of the coupling effects on those directions.The effects depends on the number of atoms in the trap,the coefficient of the trap and the parameters of the optical lattice potential.
We investigate the dynamics of two Bose–Einstein condensates (BECs) tunnel coupled by a double-well potential. In the case of attractive interatomic interaction, the effects of the three-body recombination losses and the feeding of the condensates from the thermal cloud are studied by using a two-mode approximation. It is shown that the stability region of the parameter space could be enlarged by increasing the three-body losses or the tunnelling coefficient. The numerical results also reveal some interesting motion characteristics of the BECs for different s-wave scattering lengths, including macroscopic quantum self-trapping of non-stationary state BECs, and periodic oscillation of the population whose phase orbit tends to a stable limit cycle.