Observation of spin-tensor induced topological phase transitions of triplet degenerate points with a trapped ion

POSTER

Abstract

We work with a three-level system in a trapped $^9\rm{Be}^+$ ion to experimentally simulate a spin-tensor-momentum topological system. We observe different types of triply degenerate points (TDPs) with different topological charge via measuring the Berry flux on a loop around the gap-closing lines, as well as the topological phase transition on the gap-closing point. For measuring the Berry flux, we explore a new method by examining the geometric rotations of both spin vectors and tensors, which differs from spin-1/2 case where Berry flux can be described solely by the rotation of spin vectors. Our work paves the way to explore novel topological phenomena. In addition, the controllable multi-level ion offers an ideal platform to study high-spin topological physics.

*We acknowledge support from the National Natural Science Foundation of China (grant number 11974330, 92165206), the Chinese Academy of Sciences (Grants No. XDC07000000), Anhui Initiative in Quantum Information Technologies (Grant No. AHY050000), the USTC start-up funding, and the Fundamental Research Funds for the Central Universities.

Publication: [1]M. Zhang, X. Yuan, X.-W. Luo, C. Liu, Y. Li, M. Zhu, X. Qin, Y. Lin, and J. Du, Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion, arXiv:2201.10135 (2022)

Presenters

  • Mengxiang Zhang

    • University of Science and Technology of
    • University of Science and Technology of China

Authors

  • Mengxiang Zhang

    • University of Science and Technology of
    • University of Science and Technology of China
  • Xinxing Yuan

    • University of Science and Technology
    • University of Science and Technology of China
  • Xi-Wang Luo

    • University of Science and Technology
  • Chang Liu

    • University of Science and Technology
    • University of Science and Technology of China
  • Yue Li

    • University of Science and Technology
    • University of Science and Technology of China
  • Mingdong Zhu

    • University of Science and Technology
    • University of Science and Technology of China
  • Xi Qin

    • University of Science and Technology of China
  • Yiheng Lin

    • University of Science and Technology
    • University of Science and Technology of China
  • Jiangfeng Du

    • University of Science and Technology of China