Lie transformation on shortcut to adiabaticity in parametric driving quantum systems

• 作者: Jian-Jian Cheng Yao Du Lin Zhang
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: GENERAL
• 页码范围: 124-129
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/abd747

摘要

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.