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  • Open Access

Cavity quantum Hall hydrodynamics

Gabriel Cardoso1,2,*, Liu Yang1,3,*, Thors Hans Hansson4,†, and Qing-Dong Jiang1,3,5,‡

  • *These authors contributed equally to this work.
  • †Contact author: hansson@fysik.su.se
  • ‡Contact author: qingdong.jiang@sjtu.edu.cn
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Phys. Rev. B 113, 045108 – Published 5 January, 2026

DOI: https://doi.org/10.1103/l7vh-p76b

Abstract

Motivated by recent experiments, we study the coupling of quantum Hall (QH) hydrodynamics to quantum electrodynamics 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.

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Quantum Hall effect in a chiral cavity

Liu Yang, Gabriel Cardoso, Thors Hans Hansson, and Qing-Dong Jiang
Phys. Rev. B 113, 045109 (2026)

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Phys. Rev. B 113, 045108– Published 5 January, 2026
  • Received 18 March 2025
  • Revised 20 November 2025
  • Accepted 24 November 2025
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