# Enhanced continuous generation of non-Gaussianity through optomechanical modulation

## TL;DR

This paper investigates how to continuously enhance non-Gaussianity in quantum optomechanical systems by modulating the light-matter interaction, providing analytical insights and practical mechanisms for non-Gaussian state generation.

## Contribution

It introduces a method to increase non-Gaussianity through resonant modulation of the optomechanical coupling, with analytical expressions and robustness against thermal noise.

## Key findings

- Non-Gaussianity can be increased by modulating the coupling at mechanical resonance.
- Initial thermal phonon occupation has minimal impact on non-Gaussianity.
- Continuous non-Gaussianity enhancement is feasible even with noise.

## Abstract

We study the non-Gaussian character of quantum optomechanical systems evolving under the fully nonlinear optomechanical Hamiltonian. By using a measure of non-Gaussianity based on the relative entropy of an initially Gaussian state, we quantify the amount of non-Gaussianity induced by both a constant and time-dependent cubic light-matter coupling and study its general and asymptotic behaviour. We find analytical approximate expressions for the measure of non-Gaussianity and show that initial thermal phonon occupation of the mechanical element does not significantly impact the non-Gaussianity. More importantly, we also show that it is possible to continuously increase the amount of non-Gaussianity of the state by driving the light-matter coupling at the frequency of mechanical resonance, suggesting a viable mechanism for increasing the non-Gaussianity of optomechanical systems even in the presence of noise.