Dark Soliton Dynamics In Bose-Einstein Condensates

Ju-Kui Xue

V. V. Konotop

Weixi Zhang, Denglong Wang, Jianwen Ding +1 more

By developing the multiple-scale method，we study analytically the dynamical properties of soliton in a quasi-two-dimensional Bose-Einstein condensate. For the repulsive inter-atomic interaction，a unstable dark soliton can be found in the condensate，which would evolve into ring dark soliton with small amplitude. Especially，it is shown that the ring dark soliton has dynamic stability.

Georgios Theocharis, P. G. Kevrekidis, Hector E. Nistazakis +2 more

Zhiqiang Zhang, Tie-Zhu Yang, Shusheng Meng +1 more

By using multiple-scale method, we analytically study the soliton dynamics of Bose–Einstein condensate (BEC) trapped in a double square well potential. It is shown that dark soliton can be stable, which is generated in BEC trapped in a double square well. The amplitude and the width of dark soliton are related to the initial position of the soliton. Within the double square well, because of the confinement of the potential, the amplitude of the dark soliton is larger, while the width of the dark soliton is smaller. Furthermore, we also find that the amplitude and the width of the soliton are closely related to the depth of the double square well. With the increase of the depth, the amplitude of the dark soliton increases remarkably, while the width of the dark soliton decreases slowly.

Josselin C. Garnier, F. Kh. Abdullaev