论文标题
明亮物质波孤子的时间 - 最佳变异控制
Time-optimal variational control of bright matter-wave soliton
论文作者
论文摘要
在最近的实验中，我们通过通过Feshbach的共振来操纵原子吸引力，介绍了被困在准二维的谐波陷阱中的亮点波孤子的时间 - 最佳变异控制。更特别地，我们首先采用时间依赖的变分方法来得出捕获孤子形状的运动方程，其次将反向工程与最佳控制理论结合起来，以设计用于实现时间优势减压的原子相互作用。由于时间最佳解决方案是Bang-Bang类型的，因此进一步采用平滑的正则化以使On-Off Controller平滑，从而避免了从Feshbach共振的磁场斜坡引起的加热和原子损失。
Motivated by recent experiments, we present the time-optimal variational control of bright matter-wave soliton trapped in a quasi-one-dimensional harmonic trap by manipulating the atomic attraction through Feshbach resonances. More specially, we first apply a time-dependent variational method to derive the motion equation for capturing the soliton's shape, and secondly combine inverse engineering with optimal control theory to design the atomic interaction for implementing time-optimal decompression. Since the time-optimal solution is of bang-bang type, the smooth regularization is further adopted to smooth the on-off controller out, thus avoiding the heating and atom loss, induced from magnetic field ramp across a Feshbach resonance in practice.
