中国物理B ›› 2023, Vol. 32 ›› Issue (3): 38401-038401.doi: 10.1088/1674-1056/aca9c4

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Observation of size-dependent boundary effects in non-Hermitian electric circuits

Luhong Su(苏鹭红)1,2, Cui-Xian Guo(郭翠仙)1,†, Yongliang Wang(王永良)3, Li Li(李力)1,2, Xinhui Ruan(阮馨慧)1,4, Yanjing Du(杜燕京)1,5, Shu Chen(陈澍)1,6,7, and Dongning Zheng(郑东宁)1,6,8,‡   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    3 CAS Center for Excellence in Superconducting Electronics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China;
    4 Department of Automation, Tsinghua University, Beijing 100084, China;
    5 China University of Geosciences, Beijing 100083, China;
    6 CAS Center for Excellence in Topological Quantum Computation and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    7 The Yangtze River Delta Physics Research Center, Liyang 213300, China;
    8 Songshan Lake Materials Laboratory, Dongguan 523808, China
  • 收稿日期:2022-10-27 修回日期:2022-11-26 接受日期:2022-12-08 出版日期:2023-02-14 发布日期:2023-02-14
  • 通讯作者: Cui-Xian Guo, Dongning Zheng E-mail:cxguo@iphy.ac.cn;dzheng@iphy.ac.cn
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No. 2017YFA0304300), the Key-Area Research and Development Program of Guangdong Province, China (Grant No. 2020B0303030001), the National Natural Science Foundation of China (Grant No. T2121001), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000).

Observation of size-dependent boundary effects in non-Hermitian electric circuits

Luhong Su(苏鹭红)1,2, Cui-Xian Guo(郭翠仙)1,†, Yongliang Wang(王永良)3, Li Li(李力)1,2, Xinhui Ruan(阮馨慧)1,4, Yanjing Du(杜燕京)1,5, Shu Chen(陈澍)1,6,7, and Dongning Zheng(郑东宁)1,6,8,‡   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    3 CAS Center for Excellence in Superconducting Electronics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China;
    4 Department of Automation, Tsinghua University, Beijing 100084, China;
    5 China University of Geosciences, Beijing 100083, China;
    6 CAS Center for Excellence in Topological Quantum Computation and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    7 The Yangtze River Delta Physics Research Center, Liyang 213300, China;
    8 Songshan Lake Materials Laboratory, Dongguan 523808, China
  • Received:2022-10-27 Revised:2022-11-26 Accepted:2022-12-08 Online:2023-02-14 Published:2023-02-14
  • Contact: Cui-Xian Guo, Dongning Zheng E-mail:cxguo@iphy.ac.cn;dzheng@iphy.ac.cn
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No. 2017YFA0304300), the Key-Area Research and Development Program of Guangdong Province, China (Grant No. 2020B0303030001), the National Natural Science Foundation of China (Grant No. T2121001), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000).

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摘要： The non-Hermitian systems with the non-Hermitian skin effect(NHSE) are very sensitive to the imposed boundary conditions and lattice sizes, which lead to size-dependent non-Hermitian skin effects. Here, we report the experimental observation of NHSE with different boundary conditions and different lattice sizes in the unidirectional hopping model based on a circuit platform. The circuit admittance spectra and corresponding eigenstates are very sensitive to the presence of the boundary. Meanwhile, our experimental results show how the lattice sizes and boundary terms together affect the strength of NHSE. Therefore, our electric circuit provides a good platform to observe size-dependent boundary effects in non-Hermitian systems.

关键词: non-Hermitian, size-dependent boundary effects, circuit

Abstract: The non-Hermitian systems with the non-Hermitian skin effect(NHSE) are very sensitive to the imposed boundary conditions and lattice sizes, which lead to size-dependent non-Hermitian skin effects. Here, we report the experimental observation of NHSE with different boundary conditions and different lattice sizes in the unidirectional hopping model based on a circuit platform. The circuit admittance spectra and corresponding eigenstates are very sensitive to the presence of the boundary. Meanwhile, our experimental results show how the lattice sizes and boundary terms together affect the strength of NHSE. Therefore, our electric circuit provides a good platform to observe size-dependent boundary effects in non-Hermitian systems.

Key words: non-Hermitian, size-dependent boundary effects, circuit

中图分类号:  (Electronic circuits)

  • 84.30.-r
03.65.Vf (Phases: geometric; dynamic or topological) 03.65.Fd (Algebraic methods) 03.65.Yz (Decoherence; open systems; quantum statistical methods)