Lamb Shift of Landau Levels in Two-Dimensional Electron Systems in a Multimode Resonator
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917490985009152 |
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| author | Shabanov, Aleksandr Alymov, Georgy Svintsov, Dmitry |
| author_facet | Shabanov, Aleksandr Alymov, Georgy Svintsov, Dmitry |
| contents | The use of resonators to modify the behavior of electromagnetic systems demonstrates its potential for application in a wide range of problems. However, existing theoretical studies often resort to the single-mode approximation, rarely considering a second resonator mode. In this paper, we show that including a large number of resonator modes in the model significantly enhances the softening effect of the cyclotron frequency of a two-dimensional electron system. We address this problem by demonstrating the possibility of reducing the system to a set of coupled harmonic oscillators and finding the eigenfrequencies of the oscillators. This is made possible by applying the self-energy method for modes in one polarization and the method for finding the eigenvalues of matrices that have undergone first-rank updating for modes in the perpendicular polarization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13351 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lamb Shift of Landau Levels in Two-Dimensional Electron Systems in a Multimode Resonator Shabanov, Aleksandr Alymov, Georgy Svintsov, Dmitry Mesoscale and Nanoscale Physics The use of resonators to modify the behavior of electromagnetic systems demonstrates its potential for application in a wide range of problems. However, existing theoretical studies often resort to the single-mode approximation, rarely considering a second resonator mode. In this paper, we show that including a large number of resonator modes in the model significantly enhances the softening effect of the cyclotron frequency of a two-dimensional electron system. We address this problem by demonstrating the possibility of reducing the system to a set of coupled harmonic oscillators and finding the eigenfrequencies of the oscillators. This is made possible by applying the self-energy method for modes in one polarization and the method for finding the eigenvalues of matrices that have undergone first-rank updating for modes in the perpendicular polarization. |
| title | Lamb Shift of Landau Levels in Two-Dimensional Electron Systems in a Multimode Resonator |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2605.13351 |