反抛物势与双光晶格势中的三维玻色-爱因斯坦凝聚涡旋孤子

摘要

提出了一种处理囚禁于反抛物势和双光晶格复合势中玻色-爱因斯坦凝聚涡旋孤子动力学的能量密度泛函和直接数值仿真相结合的方法.利用静态Gross-Pitaevskii方程和柱对称玻色-爱因斯坦凝聚涡旋孤子试探波函数,给出了玻色-爱因斯坦凝聚静态涡旋孤子能量密度泛函的解析式,再运用数值模拟含时Gross-Pitaevskii方程的方法,得到了稳定演化的涡旋孤子；并且通过调控双光晶格势,实现了玻色-爱因斯坦凝聚涡旋孤子从某一晶格势槽为初始位置到任意位置的操控,为玻色-爱因斯坦凝聚的实验和应用研究提供了一定的理论依据.值得指出的是,双涡旋孤子的稳定演化与操控是最重要的发现.%It was studied Bose-Einstein condensate vortical solitons under anharmonic potential (harmonicplus-quartic trap) and bichromatic optical lattice potential.The energy density functional given by the simplified analytic theory was applied to find optimum initial solutions of vortical solitons.The stabilities of the vortical solitons were confirmed by the numerical simulation of the time-dependent Gross-Pitaevskii equation.It was also manipulated the vortical solitons without collapse,which were dragged from an initially stationary to a prescribed position by a steadily moving quasiperiodic bichromatic optical lattice.It was noteworthy that the stability and manipulation of the double vortical solitons were of the most important findings.