玻色-爱因斯坦凝聚体中的怪波操控

利用Darboux变换法, 解析地研究了玻色-爱因斯坦凝聚体(BEC)中的怪波. 结果表明: 当谱参数等于非线性系数时, BEC中形成一种新型的单洞怪波; 而当谱参数小于非线性系数时, BEC中出现双洞怪波. 进一步地, 怪波的出现位置可通过调节周期性势阱的驱动频率和强度来控制. 此外, 随着原子间相互作用的减小, 怪波的最高幅度也随之降低. 相关结果可为预防怪波的危害提供帮助.

The controlling of rogue wave in Bose-Einstein condensates

By using Darboux transformation, we study analytically the rogue wave in Bose-Einstein condensates (BEC) with periodically driven linear potential. It is shown that, when the eigenvalue is equal to the nonlinear coefficient of Gross-Pitaevskii equation, there is a new rogue wave with one hole in the BEC; while the eigenvalue is less than the nonlinear coefficient, there is a rogue wave with two holes in the BEC. Furthermore, the amplitude and position of rogue wave can be controlled by tuning the atom interactions and periodically driven linear potential, respectively. The results will provide help for the preventing the rouge wave in the ocean.