Observation of topology of non-Hermitian systems without chiral symmetry

doi:10.1088/1674-1056/addcc1

中国物理B ›› 2025, Vol. 34 ›› Issue (11): 110304-110304.doi: 10.1088/1674-1056/addcc1

Observation of topology of non-Hermitian systems without chiral symmetry

Shuo Wang(王硕), Zhengjie Kang(康正杰), Hao Li(李浩), Jiaojiao Li(李姣姣), Yuanjie Zhang(张元杰), and Zhihuang Luo(罗智煌)†

Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China

收稿日期:2025-04-04 修回日期:2025-05-12 接受日期:2025-05-23 出版日期:2025-10-30 发布日期:2025-11-24
通讯作者: Zhihuang Luo E-mail:luozhih5@mail.sysu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11805008), Guangdong Basic and Applied Basic Research Foundation (Grant No. 2024A1515011406), the Fundamental Research Funds for the Central Universities, Sun Yat-Sen University (Grant No. 23qnpy63), and the Fund from Guangdong Provincial Key Laboratory (Grant No. 2019B121203005).

Observation of topology of non-Hermitian systems without chiral symmetry

Shuo Wang(王硕), Zhengjie Kang(康正杰), Hao Li(李浩), Jiaojiao Li(李姣姣), Yuanjie Zhang(张元杰), and Zhihuang Luo(罗智煌)†

Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China

Received:2025-04-04 Revised:2025-05-12 Accepted:2025-05-23 Online:2025-10-30 Published:2025-11-24
Contact: Zhihuang Luo E-mail:luozhih5@mail.sysu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11805008), Guangdong Basic and Applied Basic Research Foundation (Grant No. 2024A1515011406), the Fundamental Research Funds for the Central Universities, Sun Yat-Sen University (Grant No. 23qnpy63), and the Fund from Guangdong Provincial Key Laboratory (Grant No. 2019B121203005).

摘要/Abstract

摘要： Topological invariants are crucial for characterizing topological systems. However, experimentally measuring them presents a significant challenge, especially in non-Hermitian systems where the biorthogonal eigenvectors are often necessary. We propose a general approach for measuring the topological invariants of one-dimensional non-Hermitian systems, which can be derived from the spin textures of right eigenstates. By utilizing a dilation method, we realize a non-Hermitian system without chiral symmetry on a two-qubit nuclear magnetic resonance system and measure the winding number associated with the eigenstates. In addition to examining the topology of the eigenstates, our experiment also reveals the topological structure of the energy band, which differs from that in chiral systems. Our work paves the way for further exploration of complex topological properties in non-Hermitian systems without chiral symmetry.

关键词: nuclear magnetic resonance, quantum simulation, non-Hermitian system, topological phases

Abstract: Topological invariants are crucial for characterizing topological systems. However, experimentally measuring them presents a significant challenge, especially in non-Hermitian systems where the biorthogonal eigenvectors are often necessary. We propose a general approach for measuring the topological invariants of one-dimensional non-Hermitian systems, which can be derived from the spin textures of right eigenstates. By utilizing a dilation method, we realize a non-Hermitian system without chiral symmetry on a two-qubit nuclear magnetic resonance system and measure the winding number associated with the eigenstates. In addition to examining the topology of the eigenstates, our experiment also reveals the topological structure of the energy band, which differs from that in chiral systems. Our work paves the way for further exploration of complex topological properties in non-Hermitian systems without chiral symmetry.

Key words: nuclear magnetic resonance, quantum simulation, non-Hermitian system, topological phases

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

03.65.Vf (Phases: geometric; dynamic or topological) 05.30.Rt (Quantum phase transitions) 76.60.-k (Nuclear magnetic resonance and relaxation)

Shuo Wang(王硕), Zhengjie Kang(康正杰), Hao Li(李浩), Jiaojiao Li(李姣姣), Yuanjie Zhang(张元杰), and Zhihuang Luo(罗智煌). Observation of topology of non-Hermitian systems without chiral symmetry[J]. 中国物理B, 2025, 34(11): 110304-110304.

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Observation of topology of non-Hermitian systems without chiral symmetry

Observation of topology of non-Hermitian systems without chiral symmetry

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