Dynamics of Ring Dark Solitons in a Two-Dimensional Dipolar Bose-Einstein Condensate

Guoquan Yang, Siyu Xie, Yan Jie Zhao +2 more

Ju-Kui Xue

Lin-Xue Wang, Hui Liu, Hongli Yang +5 more

Sadhan K. Adhikari

Abstract We demonstrate robust, stable, mobile two-dimensional (2D) dipolar ring-dark-in-bright (RDB) Bose–Einstein condensate (BEC) solitons for repulsive contact interaction, subject to a harmonic trap along the y direction perpendicular to the polarisation direction z . Such a RDB soliton has a ring-shaped notch (zero in density) imprinted on a 2D bright soliton free to move in the x − z plane. At medium velocity the head-on collision of two such solitons is found to be quasi-elastic with practically no deformation. The possibility of creating the RDB soliton by phase imprinting is demonstrated. The findings are illustrated using numerical simulation employing realistic interaction parameters in a dipolar 164 Dy BEC.

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.

Bryan L. Nelsen, Mark Edwards, Lincoln D. Carr +1 more