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

TL;DR

This paper introduces a method using an optomechanical geometric phase to enhance nonlinearities in a mechanical resonator, enabling the creation of squeezed and non-classical states with negative Wigner functions.

Contribution

It presents a novel approach employing a geometric phase from four optomechanical interactions to generate non-classical mechanical states.

Findings

Demonstrated generation of mechanical squeezed states.

Achieved preparation of non-classical states with Wigner negativity.

Showed increased nonlinearities via geometric phase manipulation.

Abstract

We demonstrate that a geometric phase, generated via a sequence of four optomechanical interactions, can be used to increase, or generate nonlinearities in the unitary evolution of a mechanical resonator. Interactions of this form lead to new mechanisms for preparing mechanical squeezed states, and preparation of non-classical states with significant Wigner negativity.