利用反绝热驱动和时间重标优化实现五能级系统的绝热捷径
Shortcuts to adiabaticity in five-level systems using counter-diabatic driving and time-rescaling optimization
AI总结：
该研究针对多能级系统量子控制难题，提出用反绝热驱动和时间重标方法构建协议，实现链式连接五态系统的布居转移。经数值计算验证，两种协议均可达成完全转移并抑制中间态瞬态布居，优化后的协议性能更优。
AI中文摘要：
绝热捷径（STA）是在各种量子系统中实现高保真和鲁棒量子控制的常用协议。目前，STA已广泛应用于二能级和三能级系统，而在多能级系统中设计可行策略以实现完美量子态工程仍是一项具有挑战性的任务。本文提出使用反绝热（CD）驱动和时间重标（TR）方法，构建多态受激拉曼绝热捷径通道协议，以在链式连接的五态系统中实现鲁棒且快速的布居转移。第一个协议通过先将原始五态系统简化为等效二态系统，再结合CD驱动和酉变换设计相应驱动场来实现。此外，引入TR方法对第一个协议进行优化，提供了另一种解决方案。数值计算表明，两个协议都能实现完全布居转移，并有效抑制所有中间态的瞬态布居。与第一个协议相比，优化后的第二个协议在更短演化时间内表现出更好的性能。
英文摘要：
Shortcuts to adiabaticity (STA) is a common protocol to realize high-fidelity and robust quantum control in various quantum systems. To date, STA has been widely applied in two- and three-level systems, whereas designing feasible strategies to achieve perfect quantum state engineering in multi-level systems still remains a challenging task. Here, we propose to use counterdiabatic (CD) driving and time-rescaling (TR) methods to construct multi-state stimulated Raman shortcut-to-adiabatic passage protocols for realizing robust and fast population transfer in chainwise-connected five-state systems. The first protocol is implemented by initially reducing the original five-state system to an equivalent two-state counterpart, and then designing the corresponding driving field by combining CD driving and unitary transformation. Further, we introduce the TR method to optimize the first protocol and thus offers an alternative solution. Numerical calculations show that both protocols can achieve complete population transfer and effectively suppress transient populations of all intermediate states. Compared with the first protocol, the optimized second exhibits better performance within a shorter evolution time.
