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Observation of the topological soliton state in the Su–Schrieffer–Heeger model

Author

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  • Eric J. Meier

    (University of Illinois at Urbana-Champaign)

  • Fangzhao Alex An

    (University of Illinois at Urbana-Champaign)

  • Bryce Gadway

    (University of Illinois at Urbana-Champaign)

Abstract

The Su–Schrieffer–Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer trans-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The alternating bond pattern of polyacetylene chains is captured by the bipartite sublattice structure of the SSH model, emblematic of one-dimensional chiral symmetric topological insulators. This structure supports two distinct nontrivial topological phases, which, when interfaced with one another or with a topologically trivial phase, give rise to topologically protected, dispersionless boundary states. Here, using 87Rb atoms in a momentum-space lattice, we realize fully tunable condensed matter Hamiltonians, allowing us to probe the dynamics and equilibrium properties of the SSH model. We report on the experimental quantum simulation of this model and observation of the localized topological soliton state through quench dynamics, phase-sensitive injection, and adiabatic preparation.

Suggested Citation

  • Eric J. Meier & Fangzhao Alex An & Bryce Gadway, 2016. "Observation of the topological soliton state in the Su–Schrieffer–Heeger model," Nature Communications, Nature, vol. 7(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms13986
    DOI: 10.1038/ncomms13986
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    Cited by:

    1. S. K. Kanungo & J. D. Whalen & Y. Lu & M. Yuan & S. Dasgupta & F. B. Dunning & K. R. A. Hazzard & T. C. Killian, 2022. "Realizing topological edge states with Rydberg-atom synthetic dimensions," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    2. Byoung-Uk Sohn & Yue-Xin Huang & Ju Won Choi & George F. R. Chen & Doris K. T. Ng & Shengyuan A. Yang & Dawn T. H. Tan, 2022. "A topological nonlinear parametric amplifier," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    3. Tang, Qian & Zhang, Yiqi & Kartashov, Yaroslav V. & Li, Yongdong & Konotop, Vladimir V., 2022. "Vector valley Hall edge solitons in superhoneycomb lattices," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Wang, Huanyu & Liu, Wuming, 2023. "Broken bulk-boundary correspondence in the non-Hermitian superconductive chain with the identity determinant of transfer matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    5. Yuqing Li & Huiying Du & Yunfei Wang & Junjun Liang & Liantuan Xiao & Wei Yi & Jie Ma & Suotang Jia, 2023. "Observation of frustrated chiral dynamics in an interacting triangular flux ladder," Nature Communications, Nature, vol. 14(1), pages 1-7, December.

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