Introducing a Kerr medium in a cavity coupled to a harmonically moving mirror, we reproduce known and solvable interactions such as two-coupled harmonic oscillators and ion-laser like interactions for specific conditions. This is achieved by a unitary transformation allowing us to tune off the Kerr medium in order to simplify the Hamiltonian.
@article{arxiv.2105.13998,
title = {Ion-laser-like interaction in optomechanical systems with Kerr nonlinearities},
author = {I. Ramos-Prieto and R. Román-Ancheyta and J. Récamier and M. Berrondo and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:2105.13998},
year = {2021}
}