Normal mode splitting in an optomechanical system: effects of Coulomb and parametric interactions

Abstract

In this paper, we consider a hybrid optomechanical system in which a cavity with a one-end oscillating mirror interacts with an optical parametric amplifier (OPA) and another mechanical resonator. Interaction between the oscillating mirror of the cavity and the second mechanical resonator is assumed to be a Coulomb interaction. We show that the presence of the OPA and the Coulomb interactions results in observing normal mode splitting in the output spectra of the cavity and displacement spectrum of the movable mirror. Also, it will be shown that, with the increase of the gain coefficient of OPA and the strength of the Coulomb interaction, we see an intensified mode splitting in the spectra of the system.