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This work investigates the angular momentum of the electromagnetic quantumvacuum residing in a dielectric Mie sphere subject to the Faraday effect.Longitudinal electric modes are excited on its surface and are also createdinside the sphere by the Faraday effect.The electromagnetic quantum vacuumcreates a vortex of the Poynting vector that varies as $1/r$ to the center ofthe sphere and is associated with longitudinal angular momentum, connected tothe vector potential $\mathbf{A}(\mathbf{r},t)$. It emerges as a non-negligiblequantum vacuum correction to the classical (diamagnetic) Einstein-De Haaseffect in which an applied external magnetic field - via its action onmicroscopic magnetism - enforces macroscopic rotation.

Longitudinal Angular Momentum in Magneto-Mie Scattering: Quantum Vacuum Correction to the Einstein-De Haas effect