光波导中的一维拓扑无硬币态量子行走  

One⁃dimensional topological coinless quantum walks in optical waveguides

作　　者：蒙雅 MENG Ya(Department of Physics,Xinzhou Normal University,Xinzhou 034000,China)

机构地区：[1]忻州师范学院物理系,山西忻州034000

出　　处：《量子电子学报》2025年第2期217-228,共12页Chinese Journal of Quantum Electronics

基　　金：山西省基础研究计划资助项目(202203021212180)。

摘　　要：本文在光波导中利用波导间的直接耦合实现了一维无硬币态的离散时间量子行走,得到了系统的拓扑相图,并研究了其在拓扑边界态影响下的动力学演化行为。结果表明,当行走空间为偶数格点时,存在三种不同的拓扑相,对应系统中会出现能量为0、能量为π、能量为0和π同时存在的拓扑边界态;当行走空间为奇数格点时,存在两种不同的拓扑相,对应系统中会出现能量为0、能量为0和π同时存在的拓扑边界态。通过选取合适的参数和初始行走位置,可以使粒子在行走过程中始终局域在边界上或在边界处的两个格点上来回振荡。粒子在行走过程中的这种局域化行为,为实现无损的量子态传输和量子信息传输提供了一种可行性方案。The one-dimensional coinless discrete-time quantum walk is realized in optical waveguides by utilizing directional couplers between waveguides in this work,then the topological diagram of this system is obtained and the corresponding dynamic evolution behavior affected by topological edge states is studied.The results show that when the number of the lattice sites is even,there are three different topological phases,corresponding to the topological edge states with zero-energy,π-energy,zero-energy andπ-energy coexistence,respectively.Whereas,when the number of the lattice sites is odd,there are only two different topological phases,corresponding to the topological edge states with zero-energy,zero-energy andπ-energy coexistence,respectively.By choosing the appropriate parameter and initial state,the walkers,i.e.particles,can only be localized at the boundary of the system or oscillate on the two lattice sites of the boundary.The localization behavior of the walkers during the walking process provides a feasible scheme to realize nondestructive quantum state transmission and quantum information transmission.

关 键 词：量子光学 光波导 无硬币态离散时间量子行走 拓扑相图 拓扑边界态 动力学演化 

分 类 号：O431.2[机械工程—光学工程]