Topological simulation and chiral spin-spin interaction in driven cavity magnonics

In the field of quantum information, hybrid quantum systems comprising magnons and solid-state spins are gaining significant interest. Despite their potential, the scalability of magnon-based quantum devices faces challenges, primarily due to the necessity for close proximity in direct magnon coupling. In this paper, we introduce an approach that enables remote coupling of magnon arrays through microwave photons within a superconducting coplanar waveguide resonator. By applying periodic time-varying magnetic fields, we demonstrate the ability to finely control magnon frequencies, thereby facilitating the adjustment of magnon-magnon hopping dynamics. With appropriate magnetic modulation, the resulting coupled magnon chain emulates a topological reservoir, exemplified by the Su-Schrieffer-Heeger model. When interacting with solid-state spins, such as nitrogen-vacancy centers in diamond, our configuration enables the magnon chain to act as a mediator for tunable and chiral spin-spin interactions. This leads to the generation of significant entanglement between pairs of spins. Our work proposes a scalable quantum device architecture based on magnons and solid-state spins, offering broad possibilities for advances in quantum information processing.