Dynamics of Bright Solitons in Bose-Einstein Condensates with Complicated Potential

张爱霞, 薛具奎

F. Kh. Abdullaev, Josselin C. Garnier

Zhao Li-Chen, Zhan-Ying Yang, Tao Zhang +1 more

We present analytical solutions of the one-dimensional nonlinear Schrodinger equations of Bose–Einstein condensates in an expulsive parabolic background with a complex potential and gravitational field, by performing the Darboux transformation from a trivial seed solution. It is shown that under a safe range of parameter, the shape of bright soliton can be controlled well by adjusting the experimental parameter of the ratio of axial oscillation to radial oscillation and feeding condensates from a thermal cloud. The gravitational field can change the contrail of the bright soliton trains without changing their peak and width.

Yan Jia-Ren, Jie Zhou, Ao Sheng-Mei

The dynamics of a bright—bright vector soliton in cigar-shaped Bose—Einstein condensate trapping in a harmonic potential is studied. The interaction between bright solitons in different species with small separation is derived. Unlike the interaction between solitons of the same species, it is independent of the phase difference between the solitons, and may be of attraction or repulsion. In the former case, each soliton will oscillate about and pass through each other around the mass center of the system, which will also oscillate harmonically due to harmonic trapping potential.

Josselin C. Garnier, F. Kh. Abdullaev

Wang Yue-Yue, Zhang Jie-Fang

This paper studies the collision dynamics of bright soliton in Bose–Einstein condensate with trapezoid potential. It is found that besides the total reflection and total transmission, one bright soliton can be divided into two bright solitons with different amplitudes in a controllable manner.