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

• URL: http://arxiv.org/abs/2211.07225v2
• Date: Sat, 3 Dec 2022 12:14:21 GMT
• Title: Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Authors: Luhong Su, Cui-Xian Guo, Yongliang Wang, Li Li, Xinhui Ruan, Yanjing Du, Shu Chen, and Dongning Zheng
• Abstract summary: The non-Hermitian systems with the non-Hermitian skin effect (NHSE) are very sensitive to the imposed boundary conditions and lattice size. Our electric circuit provides a good platform to observe size-dependent boundary effects in non-Hermitian systems.
• Score: 6.5195902294304275
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The non-Hermitian systems with the non-Hermitian skin effect (NHSE) are very sensitive to the imposed boundary conditions and lattice size, which leads to size-dependent non-Hermitian skin effects. Here, we report the experimental observation of NHSE with different boundary conditions and different lattice size in a 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 size 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.

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