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Cited by 65Topological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsStrong Light-Matter Interactions

Direct extraction of topological Zak phase with the synthetic dimension

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Li, Guangzhen, Wang, Luojia, Ye, Rui, Zheng, Yuanlin, Wang, Da-Wei, Liu, Xiong-Jun, Dutt, Avik, Yuan, Luqi +1 more·2023·Light: Science & Applications
DOI 10.1038/s41377-023-01126-1PMC PMC10050404
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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.

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  • Compared to existing eigenstate measurement techniques, the method does not require prior information on the structure of eigenstates from the model, and therefore is generalizable to other types of lattice Hamiltonians.

    “Compared to existing eigenstate measurement techniques [56,57], our method does not require prior information on the structure of eigenstates from the model, and therefore is generalizable to other types of lattice Hamiltonians.”

    From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [56]

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Cited by

Sorted by citations

Authors
Li, G., Wang, L., Ye, R., Zheng, Y., Wang, D.-W., Liu, X.-J., Dutt, A., Yuan, L., & Chen, X.
Affiliations
  • Shanghai Jiao Tong University (CN)
  • Zhejiang University (CN)
  • Peking University (CN)
  • University of Maryland, College Park (US)
Corresponding author
  • Yuan, Luqi
  • Chen, Xianfeng
ORCID
Venue
Light: Science & Applications
Publisher
Springer Science and Business Media LLC
Published
2023-03-29
Volume
12
Issue
1
Pages
81-81
ISSN
2047-7538 (ISSN-L)
DOI
10.1038/s41377-023-01126-1
PMC
PMC10050404
OpenAlex
W4361283753
Cited by
65
References
4
Citations by year
2026: 14 · 2025: 23 · 2024: 23 · 2023: 5
FWCI
7.55
Type
journal article
Language
en
Open access
Licence
Locations
  • Light Science & Applications (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Funders
  • National Natural Science Foundation of China (12122407, 11974245, 12104297, 11825401, 12192252)
  • National Key Research and Development Program of China
  • Shanghai Municipal Science and Technology Major Project
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
Keywords
Zak phase, synthetic dimensions, topological invariants, Su-Schrieffer-Heeger model, supermodes, transmission spectra, topological phase transition, telecom wavelengths, optical communication

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