Triggering and Modulation of Quantum Magnon‐Photon Hall Insulator in a 1D Cavity Magnonics Lattice

Abstract Quantum Hall insulators in artificial systems have become a rapidly developing research field in recent years, and have made significant breakthroughs in observing many novel topological phenomena. However, there are few reports about quantum magnon‐photon Hall insulators. Here, a scheme is proposed for implementing a 1D cavity magnonics lattice that exhibits quantum magnon‐photon Hall insulator behaviors, where each unit cell comprises cavity photons and magnons. By adjusting the system parameters, it is found that not only different energy spectrum structures can be triggered, but also the distribution of the edge states can show the flipping process, which allows the achievement of the multi‐channel topological quantum state transmission. In addition, considering the presence of defects, dissipation, and disorder, it is found that appropriate defects can trigger new topological phases, while dissipation only causes shifts in energy levels without changing the position and period of edge states, and disorder leads to shifts in band structures and edge states, thus demonstrating the robustness of edge states. This work offers an effective way to study topological magnon‐photon Hall insulators, which will have promising applications in magnon‐based quantum information processing.