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    Dynamics of quantum entanglement between photon and phonon modes in Coulomb-coupled optomechanical cavity magnonic systems

    Muhib Ullah1,*, Muhammad Idrees2,3, and Said Mikki1,†

    • *Contact author: muhibqau@hotmail.com
    • †Contact author: smikki@illinois.edu

    Phys. Rev. A 113, 013527 – Published 28 January, 2026

    DOI: https://doi.org/10.1103/g19j-6b1t

    Abstract

    Quantum entanglement is a fundamental phenomenon in quantum information science and a crucial resource for advancing quantum technologies, including precision sensing, ultrasecure communication, and quantum computation. In hybrid systems combining cavity optomechanics and magnonics, entanglement between cavity photons, magnons, and mechanical resonators offers unique opportunities for manipulating and controlling the quantum states across different modes via radiation-pressure-based light-matter interaction. In this study we propose a hybrid optomechanical cavity magnonic setup that integrates a yttrium iron garnet sphere to mediate photon-magnon coupling via magnetic dipole interaction. The system also incorporates optomechanical and electrostatic interactions to facilitate entanglement between cavity photons and mechanical resonators. A primary focus of this work is to investigate how the magnon's nonlinear Kerr effect, along with varying optomechanical and electrostatic coupling strengths, influences the entanglement dynamics within the setup. By analyzing the interaction of nonlinear effects with other coupling parameters, we aim to identify the optimal conditions for both initiating and sustaining robust entanglement between the motional modes (phonons) of two Coulomb-coupled mechanical resonators, as well as between the cavity photon and mechanical resonator. Our computational model predicts that incorporating Coulomb interactions and magnon coupling into the setup significantly enhances the degree and tunability of the attained entanglement, making it more resilient to external thermal baths at around 3 K. This study addresses fundamental questions regarding the conditions and techniques needed to optimize and sustain phonon-phonon entanglement in complex hybrid quantum systems. The findings provide valuable insights that could be useful for the development of quantum memories in continuous-variable quantum information processing and other quantum-enhanced technologies.

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