Nonlinear effects enhance entanglement of two magnon modes in cavity magnomechanics

We propose a method to increase the entanglement of two different magnon modes in cavity magnomechanics through a nonlinear effect. One magnon mode in a ferrimagnet interacts with a deformed phonon mode through magnetostrictive contact in this system. Additionally, microwave parametric amplification (PA) considerably increases the entanglement of the two magnon modes. Magnon self-Kerr nonlinearity enhances entanglement within specific parameter values. Our proposed scheme may find applications in the study of fundamental theories in quantum physics and quantum information processing theory.