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Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems
Kabgyun Jeong1,2, Kyu-Won Park3, Jaewan Kim2
1Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea.
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.
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