Rotational optomechanical coupling of a spinning dielectric sphere

TL;DR

This paper develops a Hamiltonian framework to describe the coupling between a spinning dielectric sphere's rotation and quantized light fields, revealing angular momentum interactions that influence light's precession and frequency.

Contribution

It introduces a non-relativistic Hamiltonian model for rotational optomechanical coupling in dielectric spheres, highlighting the role of field angular momentum.

Findings

Coupling causes precession dynamics of light.

Frequency shifts are induced by the interaction.

Angular momentum coupling is governed by the field inside the dielectric.

Abstract

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.