Sub-Poissonian Phonon Lasing in Three-Mode Optomechanics

TL;DR

This paper proposes a method to generate sub-Poissonian phonon states in a three-mode optomechanical system through resonant parametric instability, achievable with current technology, and verifiable via output field measurements.

Contribution

It introduces a novel approach to produce sub-Poissonian phonon states without requiring strong single photon coupling, using resonant enhancement in a three-mode optomechanical system.

Findings

Sub-Poissonian phonon states can be prepared using resonant parametric instability.

The method does not require strong single photon coupling.

Phonon antibunching can be verified via Hanbury-Brown-Twiss measurement.

Abstract

We propose to use the resonant enhancement of the parametric instability in an optomechanical system of two optical modes coupled to a mechanical oscillator to prepare mechanical states with sub-Poissonian phonon statistics. Strong single photon coupling is not required. The requirements regarding sideband resolution, circulating cavity power and environmental temperature are in reach with state of the art parameters of optomechanical crystals. Phonon antibunching can be verfied in a Hanburry-Brown-Twiss measurement on the output field of the optomechanical cavity.