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Cavity-magnon polaritons (CMPs) are the associated quasiparticles of thehybridization between cavity photons and magnons in a magnetic sample placed ina microwave resonator. In the strong coupling regime, where the macroscopiccoupling strength exceeds the individual dissipation, there is a coherentexchange of information. This renders CMPs as promising candidates for futureapplications such as in information processing. Recent advances on the study ofthe CMP now allow not only for creation of CMPs on demand, but also for tuningof the coupling strength - this can be thought of as enhancing or suppressingof information exchange. Here, we go beyond standard single-port driven CMPsand employ a two-port driven CMP. We control the coupling strength by therelative phase $\phi$ and amplitude field ratio $\delta_0$ between both ports.Specifically, we derive a new expression from Input-Output theory for the studyof the two-port driven CMP and discuss the implications on the couplingstrength. Furthermore, we examine intermediate cases where the relative phaseis tuned between its maximal and minimal value and, in particular, the high$\delta_0$ regime, which has not been yet explored.

Steering between Level Repulsion and Attraction: Broad tunability of Two-Port Driven Cavity Magnon-Polaritons