Vacuum anomalous Hall effect in gyrotropic cavity

• URL: http://arxiv.org/abs/2104.03147v2
• Date: Fri, 16 Apr 2021 19:08:17 GMT
• Title: Vacuum anomalous Hall effect in gyrotropic cavity
• Authors: Ilya Tokatly, Dmitry Gulevich, Ivan Iorsh
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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, 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.

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