Bistability of Cavity Magnonics System with Magnon Kerr Effect

In this study a comprehensive theory is developed for hybrid cavity magnonics system consisting of microwave strongly coupled to spin excitations or magnons in single-crystal yttrium iron garnet (YIG) sample with the exhibiting nonlinear Kerr effect caused by magnetocrystalline anisotropy YIG. The dynamics analysed Hamilton Langevin formulation and it shown that magnon frequency shift due nonlinearity bistable upper lower branch polaritons (CMP). Further analytically graphically studying different conditions imposed on bistability equation demonstrated controllable tuning parameters involved.