论文标题
基于时间依赖的，耦合谐波振荡器的基于不变的逆工程
Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators
论文作者
论文摘要
具有时间依赖性控制的二维系统接近二次的哈密顿建模，接近潜在的最小值。独立的，动态的正常模式有助于逆向哈密顿工程来控制系统动力学，但是某些系统不能通过点转换分离为独立模式。对于这些“耦合系统”，2D不变性可能仍可以指导哈密顿设计。执行反转的理论和两个应用示例：（i）我们控制横向谐波波导中波数据包的偏转； （ii）我们设计了从一个耦合振荡器到另一个耦合振荡器的状态转移。
Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some systems are not separable into independent modes by a point transformation. For these "coupled systems" 2D invariants may still guide the Hamiltonian design. The theory to perform the inversion and two application examples are provided: (i) We control the deflection of wave packets in transversally harmonic waveguides; and (ii) we design the state transfer from one coupled oscillator to another.
