论文标题
在双孔电势中对Bose-Einstein冷凝物的有效操纵
Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
论文作者
论文摘要
我们提出了将Bose-Einstein冷凝物（BEC）从双孔电势转移到另一侧的问题，作为确定电势时间依赖性形式的最佳控制问题。我们使用Galerkin截断来得出一个还原的动力系统，以在一组有限的本征函数上，发现包括三种模式足以有效控制BEC的Gross-Pitaevskii模型所描述的完整动力学。通过使用另一种称为切碎的随机基础（CRAB）方法的galerkin型方法将控件的功能形式降低为有限维度，然后通过称为差分进化（DE）的遗传算法进行优化。最后，我们讨论了可以通过在Galerkin还原中包括更多模式来完善基于还原的最佳控制策略的程度。
We pose the problem of transferring a Bose-Einstein Condensate (BEC) from one side of a double-well potential to the other as an optimal control problem for determining the time-dependent form of the potential. We derive a reduced dynamical system using a Galerkin truncation onto a finite set of eigenfunctions and find that including three modes suffices to effectively control the full dynamics, described by the Gross-Pitaevskii model of BEC. The functional form of the control is reduced to finite dimensions by using another Galerkin-type method called the chopped random basis (CRAB) method, which is then optimized by a genetic algorithm called differential evolution (DE). Finally, we discuss the extent to which the reduction-based optimal control strategy can be refined by means of including more modes in the Galerkin reduction.
