# Optomechanical quadrature squeezing in the non-Markovian regime

## TL;DR

This paper proposes a method to generate and enhance mechanical quadrature squeezing in optomechanical systems by utilizing non-Markovian environments, leading to stronger and more stable squeezing than in Markovian regimes.

## Contribution

It introduces a scheme leveraging non-Markovian reservoirs to induce and amplify quadrature squeezing in mechanical modes, surpassing traditional Markovian approaches.

## Key findings

- Stronger mechanical squeezing in non-Markovian environments.
- Squeezing approaches a low stable asymptotic value.
- Joint interactions enhance the squeezing effect.

## Abstract

Squeezing of quantum fluctuation plays an important role in fundamental quantum physics and has marked influence on ultrasensitive detection. We propose a scheme to generate and enhance the squeezing of mechanical mode by exposing the optomechanical system to a non-Markovian environment. It is shown that the effective parametric resonance term of mechanical mode can be induced due to the interaction with cavity and non-Markovian reservoir, thus resulting in quadrature squeezing of the mechanical resonator. And jointing the two kinds of interactions can enhance the squeezing effect. Comparing with the usual Markovian regime, we can obtain stronger squeezing, and significantly the squeezing can approach a low asymptotic stable value.