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arXiv 2602.03116physics.optics
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非厄米特避渡口处相反的振幅相熵响应

Opposite amplitude phase entropy responses at a non Hermitian avoided crossing

Korea Institute for Advanced Study(韩国高等研究院);Seoul National University(首尔国立大学);Kyung Hee University(庆熙大学)

Kyu-Won Park, Soojoon Lee, Kabgyun Jeong

AI总结:

该研究提出了一种基于振幅和相联合统计的场级信息论分析方法,揭示了非厄米特避渡口处振幅与相熵的相反响应及空间异质性对全局耦合的影响。

摘要:

开放谐振器中的避渡口(A.C.)源于非厄米特模式相互作用,其中泄漏产生复谱和双正交本征模。基于强度的熵是模式混合的稳健标记,但舍弃了复场的相结构。在此,我们引入了一种基于局部振幅和相的联合统计的场级信息论分析,该分析在腔体网格上基于Born加权采样进行。对于强相互作用避渡口 regime 中的开放椭圆微腔,我们发现了一个区域解析响应:振幅统计在混合点收紧,而相统计在混合点最大扩展,条件化揭示了强振幅-相依赖性。通过引入粗略位置标签和相关的共信息,我们进一步表明,全局振幅-相耦合的增强强烈受腔体上不同空间异质性的影响。

英文摘要:

Avoided crossings (A.C.) in open resonators arise from non-Hermitian mode interaction, where leakage produces complex spectra and biorthogonal eigenmodes. Intensity-based entropies are robust markers of mode mixing but discard the phase structure of the complex field. Here we introduce a field-level information-theoretic analysis based on the joint statistics of local amplitude and phase under Born-weighted sampling on the cavity grid. For an open elliptical microcavity in the strong-interaction A.C. regime, we find a distinctive sector-resolved response: amplitude statistics tighten while phase statistics broaden maximally at the mixing point, and conditioning reveals strong amplitude-phase dependence. By introducing a coarse position label and the associated co-information, we further show that the enhancement of global amplitude-phase coupling is strongly shaped by spatial heterogeneity across the cavity.

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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