We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero Berry curvature. Physically, the latter manifests as the anomalous Hall effect, appearance of equilibrium edge/surface currents and orbital magnetization induced by vacuum fluctuations. Remarkably, closed analytical expressions for the anomalous Hall conductivity and macroscopic magnetization are obtained for the interacting many-body case.
@article{arxiv.2104.03147,
title = {Vacuum anomalous Hall effect in gyrotropic cavity},
author = {Ilya Tokatly and Dmitry Gulevich and Ivan Iorsh},
journal= {arXiv preprint arXiv:2104.03147},
year = {2021}
}