Dynamics of Bright/Dark Solitons in Bose-Einstein Condensates with Time-Dependent Scattering Length and External Potential

Wang, Tian-Yuan, Zhang +1 more

Qiuyan Li, Zai-Dong Li, Lu Li +1 more

Emmanuel Kengne, Abdourahman Shehou, Ahmed Lakhssassi

Deng‐Shan Wang, Yu-Ren Shi, K. W. Chow +2 more

Ai‐Xia Zhang, Xue Ju-Kui

We present an analytical study on the dynamics of bright and dark solitons in Bose–Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross–Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.

Huamei Li

The evolution of solitons in Bose–Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the extended hyperbolic function method, we successfully obtain the bright and dark soliton solutions. In addition, some new soliton solutions in this model are found. The results in this paper include some in the literature ( Phys. Rev. Lett. 94 (2005) 050402 and Chin. Phys. Lett. 22 (2005) 1855).