Simulation of non-Hermitian disordered systems in linear circuits
Luhong Su, Jiang Hui, Zhan Wang, Shu Chen, Dongning Zheng
Abstract
Non-Hermitian skin effect (NHSE) is a novel phenomenon appearing in non-Hermitian systems. Here, we report the experimental observation of NHSE. Different from the previous nonreciprocal circuit implementation scheme using active components, we construct our one-dimensional circuits using linear components only. Besides, we achieve the nonreciprocity by proportionally varying the parameter value of the components. By measuring the voltage response of each site, the information of eigenstates can be mapped out. The results show that the voltage response is always larger on one end of the circuit no matter on which end voltage driving is applied, indicating clearly the presence of the NHSE. Furthermore, we also simulate the interplay of NHSE and Anderson localization when additional disorder is introduced. Upon increasing the disorder strength, we observe the transformation from the skin effect phase to the localized phase. In the regime of skin effect phase, the eigenstates are all localized at one edge whereas eigenstates are affected by the voltage supply input in the localized phase. Our findings unveil a possible new route for simulation of topological phenomena in non-Hermitian systems.