Simulation of the non-Hermitian Kitaev chain by electrical circuits

doi:10.1088/1674-1056/adbedb

中国物理B ›› 2025, Vol. 34 ›› Issue (6): 68401-068401.doi: 10.1088/1674-1056/adbedb

Simulation of the non-Hermitian Kitaev chain by electrical circuits

Jiali Xu(徐佳莉)^1,2, Hao Geng(耿昊)^1,2, Abdul Wahab¹, Xiaosen Yang(杨孝森)¹, Yuee Xie(谢月娥)^1,2,†, and Yuanping Chen(陈元平)^1,2,‡

1 School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang 212013, China;
2 Quantum Sensing and Agricultural Intelligence Detection Engineering Center of Jiangsu Province, Zhenjiang 212013, China

收稿日期:2024-11-14 修回日期:2025-03-01 接受日期:2025-03-11 出版日期:2025-05-16 发布日期:2025-06-16
通讯作者: Yuee Xie, Yuanping Chen E-mail:yueex@ujs.edu.cn;chenyp@ujs.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174157, 12074150, and 12174158).

Simulation of the non-Hermitian Kitaev chain by electrical circuits

Jiali Xu(徐佳莉)^1,2, Hao Geng(耿昊)^1,2, Abdul Wahab¹, Xiaosen Yang(杨孝森)¹, Yuee Xie(谢月娥)^1,2,†, and Yuanping Chen(陈元平)^1,2,‡

1 School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang 212013, China;
2 Quantum Sensing and Agricultural Intelligence Detection Engineering Center of Jiangsu Province, Zhenjiang 212013, China

Received:2024-11-14 Revised:2025-03-01 Accepted:2025-03-11 Online:2025-05-16 Published:2025-06-16
Contact: Yuee Xie, Yuanping Chen E-mail:yueex@ujs.edu.cn;chenyp@ujs.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174157, 12074150, and 12174158).

摘要/Abstract

摘要： We investigate the topological properties of the non-Hermitian Kitaev chain by exploiting the versatility of the circuit. We implement non-reciprocal coupling through a negative impedance converter with current inversion (INIC). By conducting impedance measurements between neighboring nodes, we identify both topologically non-trivial and trivial phases within the circuit's admittance band dispersion under open boundary conditions (OBC). Our analysis of complex admittance spectra reveals differences when comparing circuits with periodic boundary conditions (PBC) to those with OBC. Furthermore, we observe ${Z_2}$ skin effects and Majorana zero modes in the topologically non-trivial phases, which are robust against disorders. Notably, the admittance spectra exhibit remarkable sensitivity to the attenuation of the boundary coupling strength. This AC circuit system serves as a promising platform for investigating topological phenomena, opening avenues for the development of functional devices across various application scenarios.

关键词: non-Hermitian Kitaev chain, non-Hermitian skin effect, circuit

Abstract: We investigate the topological properties of the non-Hermitian Kitaev chain by exploiting the versatility of the circuit. We implement non-reciprocal coupling through a negative impedance converter with current inversion (INIC). By conducting impedance measurements between neighboring nodes, we identify both topologically non-trivial and trivial phases within the circuit's admittance band dispersion under open boundary conditions (OBC). Our analysis of complex admittance spectra reveals differences when comparing circuits with periodic boundary conditions (PBC) to those with OBC. Furthermore, we observe ${Z_2}$ skin effects and Majorana zero modes in the topologically non-trivial phases, which are robust against disorders. Notably, the admittance spectra exhibit remarkable sensitivity to the attenuation of the boundary coupling strength. This AC circuit system serves as a promising platform for investigating topological phenomena, opening avenues for the development of functional devices across various application scenarios.

Key words: non-Hermitian Kitaev chain, non-Hermitian skin effect, circuit

中图分类号: (Electronic circuits)

84.30.-r

03.65.Vf (Phases: geometric; dynamic or topological) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.65.Ta (Foundations of quantum mechanics; measurement theory)

Jiali Xu(徐佳莉), Hao Geng(耿昊), Abdul Wahab, Xiaosen Yang(杨孝森), Yuee Xie(谢月娥), and Yuanping Chen(陈元平). Simulation of the non-Hermitian Kitaev chain by electrical circuits[J]. 中国物理B, 2025, 34(6): 68401-068401.

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Simulation of the non-Hermitian Kitaev chain by electrical circuits

Simulation of the non-Hermitian Kitaev chain by electrical circuits

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