Generalized Aubry–André–Harper Models in Optical Superlattices

doi:10.1088/0256-307X/39/6/063701

Chin. Phys. Lett.

2022, Vol. 39

Issue (6): 063701 DOI: 10.1088/0256-307X/39/6/063701

ATOMIC AND MOLECULAR PHYSICS

Generalized Aubry–André–Harper Models in Optical Superlattices

Yi Li^1,2, Jia-Hui Zhang^1,2, Feng Mei^1,2*, Jie Ma^1,2, Liantuan Xiao^1,2, and Suotang Jia^1,2

¹State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China
²Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

Cite this article:

Yi Li, Jia-Hui Zhang, Feng Mei et al 2022 Chin. Phys. Lett. 39 063701

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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.

Received: 29 March 2022 Published: 29 May 2022

PACS:

37.10.Jk

(Atoms in optical lattices)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/39/6/063701 OR https://cpl.iphy.ac.cn/Y2022/V39/I6/063701

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	Yi Li
	Jia-Hui Zhang
	Feng Mei
	Jie Ma
	Liantuan Xiao
	and Suotang Jia

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