Optomechanical simulation of a parametric oscillator

TL;DR

This paper models an optomechanical device with multiple optical and mechanical modes, proposing a bichromatic driving scheme to simulate a quantum parametric oscillator with optical tunability.

Contribution

It introduces a novel bichromatic driving approach for optomechanical systems to emulate a quantum parametric oscillator under realistic lossy conditions.

Findings

Effective Hamiltonian for multi-mode optomechanical system

Bichromatic driving enables quantum simulation of parametric oscillators

Optical control of oscillator parameters demonstrated

Abstract

We study an optomechhanical device supporting at least three optical modes in the infrared telecommunication band and three mechanical vibration modes. We model the coherent driving of each optical mode, independently of each other, to obtain an effective Hamiltonian showing the different types of parametric processes allowed in the device. We propose a bichromatic driving scheme, in the lossy optical cavity regime, under a mean field approximation, that provides the quantum simulation of a parametric oscillator with optical control of its parameters.