Quantum state preparation of a mechanical resonator using an optomechanical geometric phase

Abstract

We theoretically show that a geometric phase, generated by a sequence of four optomechanical interactions can be used to generate or increase nonlinearities in the evolution of a mechanical resonator. Interactions of this form lead to new mechanisms for preparing mechanical squeezed states of motion, and the preparation of non-classical states with significant Wigner negativity. © IOP Publishing and Deutsche Physikalische Gesellschaft.