Researchers have proposed a theoretical scheme to generate switchable bipartite and tripartite quantum entanglement in a ring-cavity optomagnomechanical system. This advance relies on exploiting phase-controlled magnon squeezing, which allows for modulating the entanglement response. The proposed system involves two spatially separated ferrimagnetic YIG (yttrium iron garnet) microbridges, which become entangled through their magnetostriction-mediated coupling to mechanical motion and a common cavity field via radiation-pressure interaction.

The squeezing process introduces two phase-dependent contributions to the magnon response: an effective detuning shift, Δ_{θ_j}, and a quadrature-damping contribution, κ_{θ_j}. Both reverse sign upon a π phase shift, providing in situ control to switch the entanglement response. Nonreciprocal entanglement is operationally defined by the asymmetric entanglement response under phase reversal θ_j → θ_j + π, quantified by normalized contrast ratios C_E and C_R, which measure the relative difference between the entanglement obtained at θ_j and in the phase-reversed configuration θ_j+π.

This phase-tuning method offers a flexible and robust route to achieve high-contrast bipartite and tripartite entanglement within stable parameter regions. The work establishes magnon squeezing as a practical quantum resource for switchable quantum correlations in hybrid platforms. This type of control over entanglement is crucial for the development of future quantum technologies, such as quantum computing and communication, by allowing more precise and dynamic manipulation of quantum states.