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arXiv 1804.03041quant-ph
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如何用三个谐振器合成例外点

How to Synthesize Exceptional Points with Three Resonators

Re-Bing Wu, Yu Zheng, Qi-Ming Chen, Yu-xi Liu

摘要:

在非厄米耦合谐振器网络中,简并本征模的本征向量可能由于所谓的例外点(EP)处的奇异性而变得平行。为了利用EP的参数灵敏度,一个重要的问题是,给定任意一组耦合谐振器,如何通过将它们适当地耦合在一起来产生所需的EP。本文提供了三个谐振腔的情况下的解决方案。我们发现,所有物理上允许的EP可以实现弱耦合线性网络或强耦合的圆形网络,和后一种类型的EP还没有在文献中报道。每个容许EP特征值可以由两个且只有两个谐振网络实现,并给出了所需耦合常数的计算公式。这些EP的特点说明了他们附近的透射光谱的变化,这验证了EP的奇异性引起的灵敏度增强。

英文摘要:

In non-Hermitian coulped-resonator networks, the eigenvectors of degenerate eigenmodes may become parallel due to the singularity at so-called Exceptional Points (EP). To exploit the parametric sensitivity at EPs, an important problem is, given an arbitrary set of coupled resonators, how to generate a desired EP by properly coupling them together. This paper provides the solution for the case of three resonators. We show that all physically admissible EPs can be realized with either weakly coupled linear networks or strongly coupled circular networks, and the latter type of EPs has not been reported in the literature. Each admissible EP eigenvalue can be realized by two and only two resonator networks, and the formulas for calculating the required coupling constants are provided. The characteristics of these EPs are illustrated by the change of transmission spectra near them, which verify the enhanced sensitivity induced by the singularity of EPs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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