Cavity Quantum Hall Hydrodynamics
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912847079931904 |
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| author | Cardoso, Gabriel Yang, Liu Hansson, Thors Hans Jiang, Qing-Dong |
| author_facet | Cardoso, Gabriel Yang, Liu Hansson, Thors Hans Jiang, Qing-Dong |
| contents | Motivated by recent experiments, we study the coupling of quantum Hall (QH) hydrodynamics to quantum electrodynamics (QED) within a resonance cavity. In agreement with experimental observations, we find that the Hall conductivity remains unchanged. However, the coupling to the cavity induces a second-order quantum reactance effect, contributing distinctly to the longitudinal AC conductivity. This effect arises from the exchange of energy between the QH fluid and cavity photons. Beyond the topological response, we show that the cavity couples to collective excitations, resulting in a shift of the Kohn mode frequency. Our methods are broadly applicable to both integral and fractional QH liquids, and our results offer a universal perspective on the protection of topological properties against long-range interactions induced by electromagnetic cavity modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cavity Quantum Hall Hydrodynamics Cardoso, Gabriel Yang, Liu Hansson, Thors Hans Jiang, Qing-Dong Mesoscale and Nanoscale Physics Other Condensed Matter Strongly Correlated Electrons Motivated by recent experiments, we study the coupling of quantum Hall (QH) hydrodynamics to quantum electrodynamics (QED) within a resonance cavity. In agreement with experimental observations, we find that the Hall conductivity remains unchanged. However, the coupling to the cavity induces a second-order quantum reactance effect, contributing distinctly to the longitudinal AC conductivity. This effect arises from the exchange of energy between the QH fluid and cavity photons. Beyond the topological response, we show that the cavity couples to collective excitations, resulting in a shift of the Kohn mode frequency. Our methods are broadly applicable to both integral and fractional QH liquids, and our results offer a universal perspective on the protection of topological properties against long-range interactions induced by electromagnetic cavity modes. |
| title | Cavity Quantum Hall Hydrodynamics |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.01492 |