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相对熵作为厄米特系统与非厄米特系统之间差异的一种度量。

Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems.

作者信息

Jeong Kabgyun, Park Kyu-Won, Kim Jaewan

机构信息

Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea.

School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Korea.

出版信息

Entropy (Basel). 2020 Jul 23;22(8):809. doi: 10.3390/e22080809.

DOI:10.3390/e22080809
PMID:33286580
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517380/
Abstract

We employ the relative entropy as a measure to quantify the difference of eigenmodes between Hermitian and non-Hermitian systems in elliptic optical microcavities. We have found that the average value of the relative entropy in the range of the collective Lamb shift is large, while that in the range of self-energy is small. Furthermore, the weak and strong interactions in the non-Hermitian system exhibit rather different behaviors in terms of the relative entropy, and thus it displays an obvious exchange of eigenmodes in the elliptic microcavity.

摘要

我们采用相对熵作为一种度量,以量化椭圆光学微腔中厄米特系统和非厄米特系统本征模之间的差异。我们发现,在集体兰姆移位范围内相对熵的平均值较大,而在自能范围内其平均值较小。此外,非厄米特系统中的弱相互作用和强相互作用在相对熵方面表现出相当不同的行为,因此在椭圆微腔中显示出明显的本征模交换。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/62dc1e8e2609/entropy-22-00809-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/63f79eeb5ad1/entropy-22-00809-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/3a9ba05a772a/entropy-22-00809-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/766e71e0ff29/entropy-22-00809-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/f26910ff227a/entropy-22-00809-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/62dc1e8e2609/entropy-22-00809-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/63f79eeb5ad1/entropy-22-00809-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/3a9ba05a772a/entropy-22-00809-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/766e71e0ff29/entropy-22-00809-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/f26910ff227a/entropy-22-00809-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/83fc/7517380/62dc1e8e2609/entropy-22-00809-g005.jpg

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本文引用的文献

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On Relations Between the Relative Entropy and -Divergence, Generalizations and Applications.关于相对熵与散度的关系、推广及应用
Entropy (Basel). 2020 May 18;22(5):563. doi: 10.3390/e22050563.
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Robust Scattered Fields from Adiabatically Driven Targets around Exceptional Points.来自围绕奇异点的绝热驱动目标的稳健散射场。
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