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基于端到端格林函数的非厄米传感

Non-Hermitian sensing via end-to-end Green's functions

Hui-Qiang Liang, Yu-Shi Cheng, Guo-Fu Xu

arXiv 2608.20847首次发表:更新:

AI 中文总结

该研究提出一种整合高灵敏度与抗噪声特性的传感方案,利用端到端格林函数的指数放大效应实现指数灵敏度标度,受谱缠绕数保护,为高灵敏度抗噪声传感提供了新途径。

AI 中文摘要

传感依赖两个关键属性:高灵敏度和抗噪声能力。本文提出一种将这两个特性整合到单一框架中的方案,利用端到端格林函数的指数放大效应——这是非厄米皮肤效应的直接特征——该方案实现了指数灵敏度标度exp(αL),其中α为模型特定常数,L为系统尺寸。值得注意的是,这种增强的灵敏度受谱缠绕数保护,且在非厄米拓扑相保持完整时,即使存在无序也能维持。我们还探究了其在合成非厄米平台中的可行性,为实现高灵敏度、抗噪声传感提供了途径。

英文摘要

Sensing hinges on two key attributes: high sensitivity and resilience to noise. Here, we present a scheme that unites these features within a single framework. By harnessing the exponential amplification of end-to-end Green's functions-a direct signature of the non-Hermitian skin effect-our scheme achieves an exponential sensitivity scaling of exp(αL) with α a model-specific constant and L the system size. Notably, this enhanced sensitivity is protected by spectral winding numbers and endures under disorder when the non-Hermitian topological phase remains intact. We also explore its feasibility in synthetic non-Hermitian platforms, providing a pathway toward highly sensitive and noise-tolerant sensing.

Comments7 pages, 6 figures

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