Direct extraction of topological Zak phase with the synthetic dimension

Guangzhen Li; Luojia Wang; Rui Ye; Yuanlin Zheng; Da-Wei Wang; Xiong-Jun Liu; Avik Dutt; Luqi Yuan; Xianfeng Chen

doi:10.1038/s41377-023-01126-1

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Direct extraction of topological Zak phase with the synthetic dimension

Original Articles

- Direct extraction of topological Zak phase with the synthetic dimension
- Direct extraction of topological Zak phase with the synthetic dimension
- 光：科学与应用 2023年12卷第4期页码：671-679
- Affiliations：
  
  1.State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
  2.Shanghai Research Center for Quantum Sciences, Shanghai, 201315, China
  3.Interdisciplinary Center for Quantum Information and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou, 310027, China
  4.International Center for Quantum Materials and School of Physics, Peking University, Beijing, 100871, China
  5.International Quantum Academy, Shenzhen, 518048, China
  6.Department of Mechanical Engineering, Institute for Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA
  7.Collaborative Innovation Center of Light Manipulation and Applications, Shandong Normal University, Jinan, 250358, China
- Author bio：
  
  Luqi Yuan (yuanluqi@sjtu.edu.cn)
  Xianfeng Chen (xfchen@sjtu.edu.cn)
- Funds：
- DOI：10.1038/s41377-023-01126-1
  中图分类号：
- 纸质出版日期：2023-4-30，
  
  网络出版日期：2023-3-29，
  
  收稿日期：2022-10-18，
  
  修回日期：2023-2-25，
  
  录用日期：2023-3-6
Scan for full text
Direct extraction of topological Zak phase with the synthetic dimension[J]. 光：科学与应用, 2023,12(4):671-679.

Li, G.Z.et al. MDirect extraction of topological Zak phase with the synthetic dimension.Light: Science & Applications,12, 671-679 (2023).
Direct extraction of topological Zak phase with the synthetic dimension[J]. 光：科学与应用, 2023,12(4):671-679. DOI： 10.1038/s41377-023-01126-1.

Li, G.Z.et al. MDirect extraction of topological Zak phase with the synthetic dimension.Light: Science & Applications,12, 671-679 (2023). DOI： 10.1038/s41377-023-01126-1.

摘要

Abstract

Measuring topological invariants is an essential task in characterizing topological phases of matter. They are usually obtained from the number of edge states due to the bulk-edge correspondence or from interference since they are integrals of the geometric phases in the energy band. It is commonly believed that the bulk band structures could not be directly used to obtain the topological invariants. Here

we implement the experimental extraction of Zak phase from the bulk band structures of a Su-Schrieffer-Heeger (SSH) model in the synthetic frequency dimension. Such synthetic SSH lattices are constructed in the frequency axis of light

by controlling the coupling strengths between the symmetric and antisymmetric supermodes of two bichromatically driven rings. We measure the transmission spectra and obtain the projection of the time-resolved band structure on lattice sites

where a strong contrast between the non-trivial and trivial topological phases is observed. The topological Zak phase is naturally encoded in the bulk band structures of the synthetic SSH lattices

which can hence be experimentally extracted from the transmission spectra in a fiber-based modulated ring platform using a laser with telecom wavelength. Our method of extracting topological phases from the bulk band structure can be further extended to characterize topological invariants in higher dimensions

while the exhibited trivial and non-trivial transmission spectra from the topological transition may find future applications in optical communications.

关键词

Keywords

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