Quantum simulation of a three-mode optomechanical system based on the Fredkin-type interaction

TL;DR

This paper proposes a scheme to simulate a three-mode optomechanical system in the single-photon strong-coupling regime using Fredkin-type interactions, enabling entangled-cat state generation and analysis of quantum coherence.

Contribution

It introduces a novel method to realize multimode optomechanical interactions in the strong-coupling regime via Fredkin-type coupling with strong drivings.

Findings

Successful simulation of three-mode optomechanical system in strong-coupling regime.

Generation of entangled-cat states of mechanical-like modes.

Analysis of quantum coherence and dissipation effects on state fidelity.

Abstract

The realization of multimode optomechanical interactions in the single-photon strong-coupling regime is a desired task in cavity optomechanics, but it remains a challenge in realistic physical systems. In this work, we propose a reliable scheme to simulate a three-mode optomechanical system working in the single-photon strong-coupling regime based on the Fredkin-type interaction. This is achieved by utilizing two strong drivings to the two exchangly-coupled modes in the Fredkin-type coupling involving one optical mode and two mechanical-like modes. As an application of this enhanced three-mode nonlinear optomechanical coupling, we show how to generate entangled-cat states of the mechanical-like modes using the conditional displacement mechanism. The quantum coherence effects in the generated states are investigated by calculating two-mode joint Wigner function and quantum entanglement. The influence of the dissipation effect on the state generation is considered in the open-system case.