含时紧束缚模型中的波包动力学  

Wave packet dynamics in time-dependent tight-binding models

作　　者：王羽婷 张禧征 WANG Yuting;ZHANG Xizheng(College of Physics and Materials Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学物理与材料科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2024年第1期34-41,55,共9页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11975166);天津市研究生科研创新项目(2022SKY247).

摘　　要：为了发展与构建新的量子调控方法与机制,基于含时磁通作用的一维紧束缚环体系,通过计算系统的能谱和传播子,研究了含时外场下单粒子波包的动力学行为.结果表明:矢势可以以相位的形式出现在紧束缚模型的二次量子化哈密顿量中,且其含时变化所诱导的波包动力学效应与存在外电场时系统的动力学效应相同,表现为与经典物理中的法拉第电磁感应定律一致,这种与经典物理相对应的关系为人们构建新的量子调控机制提供了重要的指导思想.In order to develop and construct new quantum control methods and mechanisms,the dynamical behavior of a single particle wave packet in a time-dependent external field is systematically studied by calculating the energy spectrum and propa-gator of the system based on one-dimensional tight-binding ring system in magnetic fields.The results show that the vector potential can appear in the second quantized Hamiltonian of the tight-binding model in the form of phase,and the dynamical effects of wave packet induced by time-varying vector potential is the same as that of the system in the presence of external electric field,exhibiting consistency with Faraday′s electromagnetic induction law in classical physics.This relationship corre-sponding to classical physics provides an important guiding ideology for the construction of new quantum control mechanisms.

关 键 词：量子控制 含时紧束缚 波包 半经典近似 动力学 

分 类 号：O413[理学—理论物理]