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

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.

8 pages, 4 figures, 4 tables

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Cited by in corpus (7)

• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Non-Hermitian skin effects on many-body localized and thermal phases
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Exceptional deficiency of non-Hermitian systems