论文标题
在非谐波陷阱下凝结的动力学
Dynamics of Bose-Einstein condensates under anharmonic trap
论文作者
论文摘要
研究了被困在外部轴向对称和非谐波势中的弱相互作用的三维bose-Einstein冷凝物（BEC）的动力学。在变异方法和时间依赖性的GROSS-PITAEVSKII方程中，得出了耦合的冷凝物宽度方程。通过调节捕获电势的非谐波失真，在数值和分析上研究了非线性特征，例如振荡模式的模式耦合和共振。此外，在排斥和有吸引力的非谐波失真中，有吸引力的相互作用的稳定性。我们证明，小排斥和有吸引力的非谐波失真可有效减少（扩展）冷凝物稳定性区域，因为它减少（增加）捕获电位中原子的临界数量。
The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii equation, the coupled condensate width equations are derived. By modulating anharmonic distortion of the trapping potential, nonlinear features are studied numerically and illustrated analytically, such as mode coupling of oscillation modes, and resonances. Furthermore, the stability of attractive interaction BEC in both repulsive and attractive anharmonic distortion is examined. We demonstrate that a small repulsive and attractive anharmonic distortion is effective in reducing (extending) the condensate stability region since it decreases (increases) the critical number of atoms in the trapping potential.
