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  • Open Access

Quantum Hall effect in a chiral cavity

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

  • *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, 045109 – Published 5 January, 2026

DOI: https://doi.org/10.1103/1tlw-g26r

Abstract

We investigate the influence of quantum fluctuations in a chiral cavity on the quantum Hall (QH) state, extending previous studies of QH liquids in linearly polarized cavities. Using the Schrieffer-Wolff transformation for perturbative cavity-matter interaction, we identify the system's normal modes, which correspond to the elementary excitations of the dressed electrons and photons. In contrast to the linear case, we find that the chiral cavity modifies the Kohn mode frequency by a contribution proportional to the cyclotron frequency, which can be interpreted as a renormalization of the magnetic field by cavity fluctuations. We show that the AC conductivities display cavity-induced corrections, including an isotropic quantum reactance effect and a rotating total-current response under applied AC fields. These findings are also derived from a hydrodynamic approach, which extends their validity to fractional quantum Hall states. Finally, we examine the role of finite cavity quality factor and find that while photon losses introduce resistive contributions to the impedance, these vanish in the DC limit. Our results provide insights into the interplay between quantum Hall states and chiral cavities, with significant implications for material engineering and cavity-induced topological effects.

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Cavity quantum Hall hydrodynamics

Gabriel Cardoso, Liu Yang, Thors Hans Hansson, and Qing-Dong Jiang
Phys. Rev. B 113, 045108 (2026)

Article Text

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Outline

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Phys. Rev. B 113, 045109– Published 5 January, 2026
  • Received 18 March 2025
  • Revised 14 July 2025
  • Accepted 15 September 2025
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