Parametric generation of quadrature squeezing of mirrors in cavity optomechanics

TL;DR

This paper presents a method to generate quadrature squeezed states of a mirror in cavity optomechanics by modulating the driving field at a resonant frequency, exploiting parametric resonance.

Contribution

It introduces a parametric modulation technique to produce mirror squeezing in cavity optomechanics, leveraging large detuning and resonance conditions.

Findings

Efficient squeezing achieved via parametric resonance.

Squeezing limited by environmental thermal noise.

Method applicable with large detuning driving fields.

Abstract

We propose a method to generate quadrature squeezed states of a moving mirror in a Fabry-Perot cavity. This is achieved by exploiting the fact that when the cavity is driven by an external field with a large detuning, the moving mirror behaves as a parametric oscillator. We show that parametric resonance can be reached approximately by modulating the driving field amplitude at a frequency matching the frequency shift of the mirror. The parametric resonance leads to an efficient generation of squeezing, which is limited by the thermal noise of the environment.