Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/8/809 |
| _version_ | 1797561536477134848 |
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| author | Kabgyun Jeong Kyu-Won Park Jaewan Kim |
| author_facet | Kabgyun Jeong Kyu-Won Park Jaewan Kim |
| author_sort | Kabgyun Jeong |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T18:15:20Z |
| format | Article |
| id | doaj.art-bbb2eb563f9f4e9ab0d865489604e4cb |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T18:15:20Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bbb2eb563f9f4e9ab0d865489604e4cb2023-11-20T07:45:23ZengMDPI AGEntropy1099-43002020-07-0122880910.3390/e22080809Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian SystemsKabgyun Jeong0Kyu-Won Park1Jaewan Kim2Research Institute of Mathematics, Seoul National University, Seoul 08826, KoreaDepartment of Physics and Astronomy, Seoul National University, Seoul 08826, KoreaSchool of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, KoreaWe 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.https://www.mdpi.com/1099-4300/22/8/809relative entropynon-Hermitian systemcollective Lamb shiftself-energyavoided crossing |
| spellingShingle | Kabgyun Jeong Kyu-Won Park Jaewan Kim Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems Entropy relative entropy non-Hermitian system collective Lamb shift self-energy avoided crossing |
| title | Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems |
| title_full | Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems |
| title_fullStr | Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems |
| title_full_unstemmed | Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems |
| title_short | Relative Entropy as a Measure of Difference between Hermitian and Non-Hermitian Systems |
| title_sort | relative entropy as a measure of difference between hermitian and non hermitian systems |
| topic | relative entropy non-Hermitian system collective Lamb shift self-energy avoided crossing |
| url | https://www.mdpi.com/1099-4300/22/8/809 |
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