Bright solitary waves and trapped solutions in Bose–Einstein condensates with attractive interactions
Bright solitary waves and trapped solutions in Bose–Einstein condensates with attractive interactions
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玻色-爱因斯坦凝聚中的明亮孤立波和俘获溶液具有吸引相互作用
DOI：
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发表时间：
2007
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影响因子：
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通讯作者：
Andrew M. Martin
中科院分区：
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作者：
N. G. Parker;S. Cornish;C. S. Adams;Andrew M. Martin
我们分析了有吸引力的玻色-爱因斯坦凝聚在横向约束下的静态解，包括有和没有轴向约束。通过Gross-Pitaevskii方程的全数值解和变分方法，我们绘制了凝聚体解，它们的能量性质和不稳定的临界点。在没有轴向约束的情况下，除非相互作用能接近崩溃的临界值，否则明亮的孤立波解将倾向于通过色散而衰减。相反，在轴向约束下，唯一的衰变机制是坍缩。明亮的孤立波解决方案对衰变的能量稳定性增加与更高的径向约束。最后，我们考虑了包含多达四个孤子的动力学状态的稳定性，并发现与最近的实验很好的协议。
We analyse the static solutions of attractive Bose–Einstein condensates under transverse confinement, both with and without axial confinement. By full numerical solution of the Gross–Pitaevskii equation and variational methods we map out the condensate solutions, their energetic properties and their critical points for instability. With no axial confinement a bright solitary wave solution will tend to decay by dispersion unless the interaction energy is close to the critical value for collapse. In contrast, with axial confinement the only decay mechanism is collapse. The energetic stability of a bright solitary wave solution against decay increases with higher radial confinement. Finally, we consider the stability of dynamical states containing up to four solitons and find good agreement with recent experiments.