Vacuum anomalous Hall effect in gyrotropic cavity
I. V. Tokatly, D. R. Gulevich, Ivan Iorsh
Abstract
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, this 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.
Topics & Concepts
Berry connection and curvaturePhysicsCondensed matter physicsQuantum Hall effectHall effectMagnetizationGround stateThermal Hall effectElectronWave functionCurvatureFermi gasPhotonQuantum mechanicsMagnetic fieldGeometric phaseGeometryMathematicsStrong Light-Matter InteractionsTopological Materials and PhenomenaCold Atom Physics and Bose-Einstein Condensates