本文采用辛算法数值求解一维含时Gross-Pitaevskii(GP)方程.研究了存在陷俘势和撤掉陷俘势时两个凝聚体闻的相互作用.发现当存在陷俘势时两个凝聚体间发生弹性碰撞;在零时刺撤掉陷俘势时两个凝聚体间发生干涉现象;当t=2时撒掉陷俘势两个凝聚体间发生了复杂现象.
The symplectic method is applied to solve numerically the 1D time-dependent Gross-Pitaevskii(GP) equation. The interaction of two Bose-Einstein condensates is investigated when the external potential is exist or the external potential is set to zero. The elastic collision will occur when the external potential is exist. If the external potential is set to zero at t = 0, the interference is observed between two condensates. While if the external potential is set to zero at t = 2, the interaction between two condensates is complex.