论文标题
线性电路中非铁症无序系统的模拟
The simulation of non-Hermitian disordered system in linear circuits
论文作者
论文摘要
非铁皮皮肤效应(NHSE)是一种新现象,出现在非热质系统中。在这里,我们报告了NHSE的实验性观察。与使用逻辑组件的先前非重复电路实现方案不同,我们仅使用线性组件构建一维(1D)电路。此外,我们通过按比例改变组件的参数值来实现非股展。通过测量每个位点的电压响应,可以将本征态的信息映射。结果表明,无论采用哪种末端电压驱动,电路的一端始终在电路的一端都更大,这显然表明NHSE的存在。此外,当引入其他疾病时,我们还模拟了NHSE和Anderson定位(AL)的相互作用。在增加疾病强度后,我们观察到从皮肤效应阶段转变为局部阶段。在皮肤效应阶段的状态下,本征态均位于一个边缘,而本征态则受到局部阶段的电压输入的影响。我们的发现揭示了在非铁官系统中模拟拓扑现象的新途径。
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 non-reciprocal circuit implementation scheme using logic components, we construct our one-dimensional (1D) circuits using linear components only. Besides, we achieve the non-reciprocity 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 (AL) 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 while eigenstates are affected by the voltage supply input in localized phase. Our findings unveil a possible new route for simulation of topological phenomena in non-Hermitian systems.