arXiv:2012.09529 · Physical Review A

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

Jin Liu, Yue‐Hui Zhou, Huang Jian, Jin‐Feng Huang, Jie‐Qiao Liao

Published Nov 19, 2021• 4 citations

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 big 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 exchange-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 the two-mode joint Wigner function and quantum entanglement. The influence of the system dissipation on the state generation is also considered. This work will open up a different route to the study of multimode optomechanical interactions at the single-photon level.

DOI: 10.1103/physreva.104.053715

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