Theoretical seminar | 24 February 2021

We consider a two-dimensional gas of spinless electrons inside a gyrotropic cavity, where the frequencies of cavity photon modes of opposite helicities are different. We show that the time reversal symmetry breaking for photons induces a Berry curvature, macroscopic magnetization and an analogue of anomalous Hall effect for the electrons. The exact solutions for the ground state of translationally symmetric interacting and harmonically trapped interacting electron gas will be presented. The results suggest that the ground state properties of the low-dimensional electron systems can be flexibly engineered by the optical cavity designs.