构建一类Landau-Zener型模型实现布居数转移  

Construction of a Landau-Zener model to realize population transfer

作　　者：侯天祥 李伟 HOU Tianxiang;LI Wei(School of Physics and Electronic Information,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学物理与电子信息学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2024年第2期74-79,87,共7页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅项目(22JK0617);延安大学博士科研启动项目(YDBK2018-22)。

摘　　要：提出了一类两分量外场驱动量子系统的Landau-Zener型模型。在SU(2)李代数的数学框架下,通过正则变换方法对支配系统演化的含时薛定谔方程进行解析求解,表明无论是理想演化、基于实际演化的脉冲截断还是系统与环境耦合导致的退相干,系统的非绝热动力学都能实现快速且高保真度的量子态相干布居数转移。同时研究了系统的绝热演化过程,结果表明其对调控参数在边界处的取值具有敏感性,会出现量子态跃迁和回到初始量子态这两种截然不同的绝热动力学行为。A Landau-Zener model for a class of quantum system driven by two-component external fields is proposed.Under the framework of SU(2)Lie algebra,the time-dependent Schrödinger equation governing the evolution of the system is solved by the canonical transformation method.It is showed that the coherent population transfer of quantum states can be achieved in the nonadiabatic dynamics of the system with fast and high fidelity,whether it is ideal evolution,pulse truncation based on actual evolution or decoherence caused by coupling between the system and the environment.At the same time,the adiabatic evolution of the system is studied.The results show that the system is sensitive to the values of control parameters at the boundary,and there are two differ⁃ent adiabatic dynamics behaviors:quantum state transition and return to the initial quantum state.

关 键 词：布居数转移 量子系统 高保真度 非绝热与绝热动力学 

分 类 号：O413.1[理学—理论物理]