Shortcut to adiabaticity (STA) is a speedway to produce the same final state that would result in an adiabatic, infinitely slow process. Two typical techniques to engineer STA are developed by either introducing auxiliary counterdiabatic fields or finding new Hamiltonians that own dynamical invariants to constraint the system into the adiabatic paths. In this paper, an efficient method is introduced to naturally cover the above two techniques with a unified Lie algebraic framework and neatly remove the design difficulties and loose assumptions in the two techniques. A general STA scheme for different potential expansions concisely achieves with the aid of squeezing transformations.

绝热捷径 (STA) 是产生相同最终状态的赛道，这将导致绝热、无限缓慢的过程。两种典型的 STA 工程技术是通过引入辅助反绝热场或寻找具有动力学不变量的新哈密顿量来开发的，以将系统约束到绝热路径中。在本文中，引入了一种有效的方法，用统一的李代数框架自然地覆盖了上述两种技术，并巧妙地消除了两种技术中的设计困难和松散假设。借助压缩变换，可以简明地实现针对不同潜在扩展的通用 STA 方案。