Generalized Aubry–André–Harper Models in Optical Superlattices
Yi Li1,2 , Jia-Hui Zhang1,2 , Feng Mei1,2* , Jie Ma1,2 , Liantuan Xiao1,2 , and Suotang Jia1,2
1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
Abstract ：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 $V_1\gg V_2$, 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.
收稿日期: 2022-03-29
出版日期: 2022-05-29
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2022, Vol. 39 
