Engineering and manipulating topological edge states in a tunable magnon chain

We propose an effective scheme for manipulating the topological edge states in a tunable magnon chain with yttrium iron garnet spheres. In this setup, the coupling interactions between two magnons are realized indirectly via a split-ring resonator. With these indirect magnon-magnon couplings, we design a finite dimer chain with the Su-Schrieffer-Heeger Hamiltonian, show that Rabi oscillations between the left and right edge modes may be observed in an even-numbered case. For comparison, the characteristic of the edge state in an odd-numbered case is different, and we find that topological pumping of the edge state can be achieved via an adiabatic passage protocol. More importantly, we theoretically demonstrate that both the Rabi dynamics and the adiabatic pumping protocol could be used for long-range quantum state transfer, but the adiabatic-pumping transfer is particularly robust against intensity noise. This work provides a promising platform for creating topological devices, which may further be applied in quantum information processing.