# Stroboscopic high-order nonlinearity for quantum optomechanics

## TL;DR

This paper introduces a stroboscopic method to induce high-order quantum nonlinearity in levitated optomechanical systems, enabling the creation of nonclassical states with potential applications in quantum information processing.

## Contribution

The authors propose a novel stroboscopic approach to generate high-order quantum nonlinearity in mechanical oscillators, overcoming decoherence and free evolution challenges.

## Key findings

- Numerical analysis confirms feasibility with experimental parameters.
- Method produces non-Gaussian states with negative Wigner functions.
- Proposed setup enables transformation of ground states into nonclassical states.

## Abstract

High-order quantum nonlinearity is an important prerequisite for the advanced quantum technology leading to universal quantum processing with large information capacity of continuous variables. Levitated optomechanics, a field where motion of dielectric particles is driven by precisely controlled tweezer beams, is capable of attaining the required nonlinearity via engineered potential landscapes of mechanical motion. Importantly, to achieve nonlinear quantum effects, the evolution caused by the free motion of mechanics and thermal decoherence have to be suppressed. For this purpose, we devise a method of stroboscopic application of a highly nonlinear potential to a mechanical oscillator that leads to the motional quantum non-Gaussian states exhibiting nonclassical negative Wigner function and squeezing of a nonlinear combination of mechanical quadratures. We test the method numerically by analysing highly instable cubic potential with relevant experimental parameters of the levitated optomechanics, prove its feasibility within reach, and propose an experimental test. The method paves a road for unique experiments instantaneously transforming a ground state of mechanical oscillators to applicable nonclassical states by nonlinear optical force.