Simulating a Chern Insulator with C=±2 on Synthetic Floquet Lattice  

作　　者：Ling-Xiao Lei Wei-Chen Wang Guang-Yao Huang Shun Hu Xi Cao Xin-Fang Zhang Ming-Tang Deng Ping-Xing Chen 雷凌霄;王伟臣;黄光耀;胡顺;曹希;张鑫方;邓明堂;陈平形(Institute for Quantum Science and Technology,College of Science,National University of Defense Technology,Changsha 410073,China;Institute for Quantum Information&State Key Laboratory of High Performance Computing,College of Computer Science and Technology,National University of Defense Technology,Changsha 410073,China;Greatwall Quantum Laboratory,Changsha 410006,China;Hefei National Laboratory,Hefei 230088,China)

机构地区：[1]Institute for Quantum Science and Technology,College of Science,National University of Defense Technology,Changsha 410073,China [2]Institute for Quantum Information&State Key Laboratory of High Performance Computing,College of Computer Science and Technology,National University of Defense Technology,Changsha 410073,China [3]Greatwall Quantum Laboratory,Changsha 410006,China [4]Hefei National Laboratory,Hefei 230088,China

出　　处：《Chinese Physics Letters》2024年第9期1-8,共8页中国物理快报（英文版）

基　　金：supported by the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302401);the Hunan Provincial Science Foundation for Distinguished Young Scholars(Grant No.2021JJ10043);the Open Research Fund from State Key Laboratory of High Performance Computing of China(HPCL)(Grant No.201901-09).

摘　　要：The synthetic Floquet lattice,generated by multiple strong drives with mutually incommensurate frequencies,provides a powerful platform for quantum simulation of topological phenomena.In this study,we propose a 4-band tight-binding model of the Chern insulator with a Chern number C=±2 by coupling two layers of the half Bernevig–Hughes–Zhang lattice and subsequently mapping it onto the Floquet lattice to simulate its topological properties.To determine the Chern number of our Floquet-version model,we extend the energy pumping method proposed by Martin et al.[2017 Phys.Rev.X 7041008]and the topological oscillation method introduced by Boyers et al.[2020 Phys.Rev.Lett.125160505],followed by numerical simulations for both methodologies.The simulation results demonstrate the successful extraction of the Chern number using either of these methods,providing an excellent prediction of the phase diagram that closely aligns with the theoretical one derived from the original bilayer half Bernevig–Hughes–Zhang model.Finally,we briefly discuss a potential experimental implementation for our model.Our work demonstrates significant potential for simulating complex topological matter using quantum computing platforms,thereby paving the way for constructing a more universal simulator for non-interacting topological quantum states and advancing our understanding of these intriguing phenomena.

关 键 词：properties TOPOLOGICAL quantum 

分 类 号：O469[理学—凝聚态物理]