In this paper we investigate a hybrid quantum system comprising a mechanical oscillator coupled via magnetic induced electromotive force to an LC resonator. We derive the Lagrangian and Hamiltonian for this system and find that the interaction can be described by a charge-momentum coupling with a strength that has a strong geometric dependence. We focus our study on a mechanical resonator with a thin-film magnetic coating which interacts with a nano-fabricated planar coil. We determine that the coupling rate between these two systems can enter the strong, ultra-strong, and even deep-strong coupling regimes with experimentally feasible parameters. This magnetomechanical configuration allows for a range of applications including electro-mechanical state transfer and weak-force sensing.
@article{arxiv.1701.08482,
title = {Quantum magnetomechanics: towards the ultra-strong coupling regime},
author = {Erick Romero-Sanchez and Warwick P. Bowen and Michael R. Vanner and Ke Yu Xia and Jason Twamley},
journal= {arXiv preprint arXiv:1701.08482},
year = {2018}
}