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Observation of the knot topology of non-Hermitian systems in a single spin

MetadataDetails
Publication Date2023-11-09
JournalPhysical review. A/Physical review, A
AuthorsYang Wu, Yunhan Wang, Xiangyu Ye, Wenquan Liu, Chang‐Kui Duan
InstitutionsZhejiang University, University of Science and Technology of China
Citations6

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 $^{12}\mathrm{C}$ 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.