Generation and control of steady-state entanglement in a dual microwave–atomic–magnon system via four-wave mixing

Abstract

We propose a scheme for generating steady-state entanglement in a hybrid dual-cavity microwave–atom–magnon system, where a two-level atom ensemble interacts simultaneously with two microwave cavities. The second cavity is also coupled to a magnon mode via a magnetic-dipole interaction, whereas the first cavity is driven by a squeezed field, which enables bipartite entanglement through a four-wave mixing process. We show that the degree of entanglement and its transfer between different modes can be effectively controlled by tuning key system parameters, including detunings, dissipation rates, and coupling strengths. Notably, entanglement can be mediated even between indirectly coupled modes, and the generated correlations exhibit strong robustness against thermal noise, thus ensuring stability under realistic conditions. These results provide a viable path for engineering and manipulating quantum correlations in hybrid systems, thereby addressing experimental constraints and contributing to the development of practical quantum technologies.