Generalized Aubry–André–Harper Models in Optical Superlattices  

作　　者：Yi Li Jia-Hui Zhang Feng Mei Jie Ma Liantuan Xiao Suotang Jia 李一;张佳辉;梅锋;马杰;肖连团;贾锁堂(State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Laser Spectroscopy,Shanxi University,Taiyuan 030006,China;Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Laser Spectroscopy,Shanxi University,Taiyuan 030006,China [2]Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China

出　　处：《Chinese Physics Letters》2022年第6期41-46,共6页中国物理快报（英文版）

基　　金：supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304203);the National Natural Science Foundation of China (Grant Nos. 12034012 and 12074234);the Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (PCSIRT) (Grant No. IRT 17R70);the Fund for Shanxi 1331 Project Key Subjects Construction;111 Project (Grant No. D18001)

摘　　要：Ultracold atoms trapped in optical superlattices provide a simple platform for realizing the seminal Aubry–André–Harper(AAH)model.However,this model ignores the periodic modulations on the nearest-neighbor hoppings.We establish a generalized AAH model by which an optical superlattice system can be approximately described when V_(1)≫V_(2),with periodic modulations on both on-site energies and nearest-neighbor hoppings.This model supports much richer topological properties absent in the standard AAH model.Specifically,by calculating the Chern numbers and topological edge states,we show that the generalized AAH model possesses multifarious topological phases and topological phase transitions,unlike the standard AAH model supporting only a single topological phase.Our findings can uncover more opportunities for using optical superlattices to study topological and localization physics.

关 键 词：TOPOLOGICAL PERIODIC nearest 

分 类 号：O431.2[机械工程—光学工程]