山西大学学报（自然科学版）2024，Vol.47Issue(4)：786-791,6.DOI:10.13451/j.sxu.ns.2023079
三周期量子行走的布洛赫振荡及拓扑特性
The Bloch Oscillation and Topological Properties of Three-period Quantum Walk
摘要
Abstract
In this work,the three-period quantum walk model on one-dimensional infinite lattice line is extended to include two asymmetric phase-accumulating operators.The energy band structure and the winding number,which characters the topological properties of the system,are calculated.The winding number is represented by the phase accumulation in the process of quantum walk.Furthermore,we introduce the time-dependent phase and investigate the dynamics of three-period quantum walk.It is found that the probability distribution behaves Bloch oscillation as that an electron subjected to a constant electric field in a one-dimension-al lattice.In particular,the topological winding number of three-period quantum walk is equal to the number of turning points over a period of Bloch oscillation.As a conclusion,the topological properties of the system can be viewed from the point of system dynami-cal evolution.关键词
量子行走/布洛赫振荡/拓扑特性Key words
quantum walk/Bloch oscillation/topological properties分类
数理科学引用本文复制引用
李小萍,李志坚..三周期量子行走的布洛赫振荡及拓扑特性[J].山西大学学报（自然科学版）,2024,47(4):786-791,6.基金项目
国家自然科学基金(12147215) （12147215）
