基于变分法的冷原子快速分束设计

Fast splitting of ultracold atom based on variational approach

量子绝热捷径技术可以沿着非绝热路径加速量子绝热过程.受绝热捷径技术的启发,提出了基于冷原子干涉仪在双势阱中快速且稳定地分束冷原子的方法.首先,应用变分近似方法处理平均场近似下的Gross-Pitaevskii(GP)方程,以此推导出玻色-爱因斯坦凝聚的动力学方程;然后,使用反控制法设计外势阱的频率,在较短的时间内实现冷原子的快速分束.该方法避免了最终激发.

Shortcuts to adiabaticity can speed up an adiabatic process along a nonadia-batic route.Inspired by the shortcuts to adiabaticity,in this paper we propose a method for fast and stable splitting of atom in a double well based on ultracold atomic interferometers.Specifically,wefirstly apply the variational approximation approach to solve the Gross-Pitaevskii(GP)equation in the mean-field approximation theory to derive the dynamic equation of the Bose-Einstein condensation.Then we use the inverse engineering to design the frequency of external potential,which enables fast splitting of ultracold atom in a shorter time.And this method avoids thefinal excitation.