物理学报2024，Vol.73Issue(14)：9-18,10.DOI:10.7498/aps.73.20240535
周期驱动拉曼晶格系统中的动力学拓扑现象
Dynamic topological phenomena in periodically driven Raman lattice
摘要
Abstract
According to the recent experimental progress of simulating energy band topology and dynamic quantum phase transitions(DQPTs)in ultracold atomic systems,we develop a periodically driven one-dimensional(1D)Raman lattice system to simulate dynamic topological phenomena.By utilizing amplitude-periodically modulated Raman beams to couple the {1S0,3P1} manifolds of alkaline-earth-like atoms 171 Yb,we can realize the desired periodically driven Raman lattice.Utilizing the single-band,tight-binding Hamiltonian of the time-periodic system,we analytically determine the effective Floquet Hamiltonian and the micromotion operator.These allow us to investigate the conditions under which Floquet dynamic quantum phase transitions and dynamic skyrmion structures emerge at any driving frequency in the 1D Raman lattice.When the corresponding vector trajectory of the effective Floquet Hamiltonian has a non-zero winding number(v≠0),the system exhibits both Floquet dynamic quantum phase transitions and dynamic skyrmion structures.For v=0,Floquet dynamic quantum phase transitions may still occur,but dynamic skyrmion structures will definitely disappear.Therefore,the topologically nontrivial nature of the effective Floquet Hamiltonian is a sufficient but not necessary condition for the onset of the Floquet dynamic quantum phase transitions.But it is a necessary and sufficient condition for the onset of the dynamical skyrmion structures.关键词
拓扑相/动力学量子相变/超冷原子/拉曼晶格Key words
topological phase/dynamical quantum phase transition/ultracold atoms/Raman lattice引用本文复制引用
蔡德欢,屈苏平..周期驱动拉曼晶格系统中的动力学拓扑现象[J].物理学报,2024,73(14):9-18,10.基金项目
科技创新2030-"量子通信与量子计算机"重大项目(批准号:2021ZD0301200)、国家自然科学基金(批准号:11974331)、安徽高校自然科学研究项目(批准号:KJ2021A1130)和安徽省高校优秀青年人才支持计划(批准号:gxyq2022111)资助的课题. Project supported by the Innovation Program for Quantum Science and Technology,China(Grant No.2021ZD0301200),the National Natural Science Foundation of China(Grant No.11974331),the Natural Science Foundation for Universities of Anhui Province,China(Grant No.KJ2021A1130),and the College Youth Talent Support of Anhui Province,China(Grant No.gxyq2022111). （批准号:2021ZD0301200）
