  We formulate a non-relativistic Hamiltonian in order to describe how the
rotational degrees of freedom of a dielectric sphere and quantized light fields
are coupled. Such an interaction is shown to take a form of angular momentum
coupling governed by the field angular momentum inside the dielectric. As a
specific example, we show that the coupling due to a single whispering gallery
mode can lead to precession dynamics and frequency shifts of light.

Quantum Physics