Observation of the Knot Topology of Non-Hermitian Systems in a Single
Spin
- URL: http://arxiv.org/abs/2311.03642v2
- Date: Sat, 11 Nov 2023 00:34:17 GMT
- Title: Observation of the Knot Topology of Non-Hermitian Systems in a Single
Spin
- Authors: Yang Wu, Yunhan Wang, Xiangyu Ye, Wenquan Liu, Chang-Kui Duan, Ya
Wang, Xing Rong, and Jiangfeng Du
- Abstract summary: The non-Hermiticity of the system gives rise to distinct knot topology that has no Hermitian counterpart.
Our method paves the way for further exploration of the interplay among band braiding, eigenstate topology and symmetries in non-Hermitian quantum systems.
- Score: 12.88459291396421
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The non-Hermiticity of the system gives rise to distinct knot topology that
has no Hermitian counterpart. Here, we report a comprehensive study of the knot
topology in gapped non-Hermitian systems based on the universal dilation method
with a long coherence time nitrogen-vacancy center in a $^{\text{12}}$C isotope
purified diamond. Both the braiding patterns of energy bands and the eigenstate
topology are revealed. Furthermore, the global biorthogonal Berry phase related
to the eigenstate topology has been successfully observed, which identifies the
topological invariance for the non-Hermitian system. Our method paves the way
for further exploration of the interplay among band braiding, eigenstate
topology and symmetries in non-Hermitian quantum systems.
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