论文标题

真正的非热能光谱没有任何对称性

Real Non-Hermitian Energy Spectra Without Any Symmetry

论文作者

Zhang, Boxue, Li, Qingya, Zhang, Xiao, Lee, Ching Hua

论文摘要

具有真实特征力的非热模型对其稳定性非常可取。然而,大多数当前已知的人都受到诸如PT对称的对称性的约束,PT对称性与实现一些最异国情调的非热门现象是不兼容的。在这项工作中,我们研究了非富甲皮肤效应如何为实现真实光谱和系统稳定性提供替代途径。对于不同类别的能量分散,我们展示了具有具有实际光谱的大参数空间区域的各种ANSATZ模型,尽管没有任何明显的对称性。这些最小的本地模型可以在非磁性实验设置中快速实施,例如带有操作放大器的电路。

Non-Hermitian models with real eigenenergies are highly desirable for their stability. Yet, most of the currently known ones are constrained by symmetries such as PT-symmetry, which is incompatible with realizing some of the most exotic non-Hermitian phenomena. In this work, we investigate how the non-Hermitian skin effect provides an alternative route towards enforcing real spectra and system stability. We showcase, for different classes of energy dispersions, various ansatz models that possess large parameter space regions with real spectra, despite not having any obvious symmetry. These minimal local models can be quickly implemented in non-reciprocal experimental setups such as electrical circuits with operational amplifiers.

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