论文标题
在移动的谐波陷阱中，光滑的爆炸式快捷方式，用于原子运输
Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap
论文作者
论文摘要
Bang-bang控制通常用于实施至少绝热的快捷方式，以在移动的谐波陷阱中有效地运输原子。然而，在现实的实验条件下，启用高运输模式激发和能耗的急剧变化是不可行的。为了解决这些问题，我们通过将物理限制设置在原子和陷阱中心的质量中心之间的相对位移，速度和加速度上，提出具有接近最小时间的平滑爆炸协议。我们采用Pontryagin的最大原理来获得平滑的Bang-Bang协议的分析解决方案，以进行近乎最小的控制。更重要的是，发现能量激发和宽度幅度以牺牲运营时间为代价大大减少。我们还提出了一种用于自洽数值分析的多个拍摄方法。最后，将此方法应用于其他任务，例如能量最小化，其中获得平滑的分析形式很复杂。
Bang-bang control is often used to implement a minimal-time shortcut to adiabaticity for efficient transport of atoms in a moving harmonic trap. However, drastic changes of the on-off controller, leading to high transport-mode excitation and energy consumption, become infeasible under realistic experimental conditions. To circumvent these problems, we propose smooth bang-bang protocols with near-minimal time, by setting the physical constraints on the relative displacement, speed, and acceleration between the mass center of the atom and the trap center. We adopt Pontryagin's maximum principle to obtain the analytical solutions of smooth bang-bang protocol for near-time-minimal control. More importantly, it is found that the energy excitation and sloshing amplitude are significantly reduced at the expense of operation time. We also present a multiple shooting method for the self-consistent numerical analysis. Finally, this method is applied to other tasks, e.g., energy minimization, where obtaining smooth analytical form is complicated.
