$\mathcal{PT}$-Symmetry induced Bi-Stability in Non-Hermitian Cavity Magnomechanics (2407.01432v1)

Abstract: We study the steady-state non-Hermitian magnomechanical system driven by a transverse magnetic field directly interacting with YIG sphere and excites cavity magnons and photons. To make the system non-Hermitian, we use a traveling field directly interacting with magnons generating gain to the system. We start by illustrating PT-configuration of the system, which contains two PT broken region around exceptional point and PT protected region along the axis of exceptional point. Late, we discover that the numbers of cavity photons and magnons show bistable behavior depending upon the PT configuration, which becomes more significant as the values of the magnon-photon coupling and traveling field strength increases. We illustrate that steady-state photon only shows bistable behavior when the system in in lossy PT broken configuration, means strength of traveling field is less than the magnon-photon coupling. Otherwise, it will just contain a single stable state because of bistability suppression with gain in the system, which is unlike with any other investigation in this direction. Further, a larger magnon-photon coupling increases photon intensity and decreases magnon intensity, because of photon and magnon energy exchange, leading to enhanced photon bistablity and decreased magnon bistability. However, in case of increasing strength of traveling field, both photon as well as magnon bistability is appeared to be decreasing. We also study the steady-state effective potential of the system and illustrate the occurrence of bistability with nonlinear interactions between contour trajectories, which similarly depends on the PT broken configuration of the system.