辽宁工程技术大学学报（自然科学版）2024，Vol.43Issue(6)：726-732,7.DOI:10.11956/j.issn.1008-0562.20240047
绝热和非绝热演化的简并快进标定理论
Degenerate fast-forward scaling theory for adiabatic and non-adiabatic evolution
摘要
Abstract
In order to control the evolution of complex quantum systems quickly and accurately,a degenerate four-level quantum system is taken as an example,and the acceleration potential in different states is obtained by using the fast-forward scaling method.In the adiabatic evolution process,the fast-forward scaling method is combined with the transitionless quantum driving,and the general form of the counterdiabatic fast-forward Hamiltonian of the degenerate quantum system is obtained.The results show that the population transfer time in the fast-forward state is significantly shorter than that in the standard state,which confirms the validity of the fast-forward scaling method in degenerate quantum systems.The regularization form of the adiabatic term in the combination method corresponds exactly to the form of the degenerate transitionless quantum driving Hamiltonian which can improve the rate of evolution of the system.The research conclusions provide theoretical support for complex quantum system control and quantum information processing.关键词
快进标定方法/简并量子系统/无跃迁量子驱动方法/加速势/布居数Key words
fast-forward scaling method/degenerate quantum systems/transitionless quantum driving/accelerating potential/population分类
数理科学引用本文复制引用
杨青,刘忠菊,李宏,张亚楠..绝热和非绝热演化的简并快进标定理论[J].辽宁工程技术大学学报（自然科学版）,2024,43(6):726-732,7.基金项目
国家自然科学基金项目(11947085) （11947085）
吉林省自然科学基金项目(YDZJ202201ZYTS324) （YDZJ202201ZYTS324）
