论文标题
有效的二维控制
Efficient two-dimensional control of barrier crossing
论文作者
论文摘要
驱动的屏障横梁在光学捕获实验和转向分子动力学模拟中普遍存在。尽管控制权很高，但很少利用驾驶协议选择的自由来提高效率。我们设计的协议可以减少谐波捕获电势的二维控制下快速驱动的屏障交叉的耗散，从而控制了陷阱中心和刚度。对于快速驾驶，最小散落协议在控制参数端点之间跳跃。对于缓慢的驾驶，与幼稚和一维方案相比，最小散落协议通常会放慢并收紧陷阱，从而使陷阱越过障碍物，从而既节省能量，又可以增加通量（仅改变陷阱中心）。结合快速和缓慢的结果，我们设计了以各种速度提高性能的协议。
Driven barrier crossings are pervasive in optical-trapping experiments and steered molecular-dynamics simulations. Despite the high fidelity of control, the freedom in the choice of driving protocol is rarely exploited to improve efficiency. We design protocols that reduce dissipation for rapidly driven barrier crossing under two-dimensional control of a harmonic trapping potential, controlling both trap center and stiffness. For fast driving, the minimum-dissipation protocol jumps halfway between the control-parameter endpoints. For slow driving, the minimum-dissipation protocol generically slows down and tightens the trap as it crosses the barrier, resulting in both significant energy savings and increased flux compared to naive and one-dimensional protocols (that only change trap center). Combining fast and slow results, we design protocols that improve performance at all speeds.
