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

Atomic Physics;Mesoscale and Nanoscale Physics