非厄米系统中单粒子波包的动力学行为  

Dynamic behavior of single-particle wave packet in non-Hermitian system

作　　者：姜雅金 姜润泽 张禧征 JIANG Yajin;JIANG Runze;ZHANG Xizheng(College of Physics and Materials Science,Tianjin Normal University,Tianjin300387,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）》2022年第5期16-22,共7页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11975166).

摘　　要：为了研究非厄米系统中单粒子波包的动力学行为,针对单粒子波包在紧束缚模型上的散射问题,基于量子模拟的理论,采用Bethe Ansatz方法,对单粒子波包在具有缺陷的紧束缚模型内的散射进行分析.结果表明:在非厄米哈密顿量的作用下,单粒子紧束缚模型的动力学特征由波包的透射率和反射率决定;非对称耦合结构的非厄米散射中心可以诱导波包在不同情况下发生共振穿透等行为,从而使信息的单向性输运在系统中成为可能.In order to study the dynamic behavior of single-particle wave packet in non-Hermitian system,aiming at the scattering of single-particle wave packet on tight-binding model,based on the theory of quantum simulation,the Bethe Ansatz method was used to analyze single-particle wave packet in defective scattering in the tight-binding model.The results showed that the dynamic characteristics of the single-particle tight-binding model were determined by the transmittance and reflectivity of the wave packet under the action of the non-Hermitian Hamiltonian.And the non-Hermitian scattering center of the asymmetric coupling structure could induce the resonant penetration of the wave packet under different conditions,which made the unidirectional transport of information possible in the system.

关 键 词：非厄米系统 单粒子 波包 紧束缚模型 散射 单通性 

分 类 号：O413[理学—理论物理]