Simulating the extended Su-Schrieffer-Heeger model and transferring an entangled state based on a hybrid cavity-magnon array

Abstract

We propose a scheme to simulate the extended Su-Schrieffer-Heeger (SSH) model by using the hybrid cavity magnonics system. We consider a hybrid cavity-magnon array with $N$ sites, where each site contains two cavity modes and one magnon mode, and the cavity modes at the neighboring site couple to each other with controllable tunneling rates. Under large detuning conditions, we adiabatically eliminate the cavity field and obtain periodic interactions between the magnons depending on the phase between adjacent cavity fields. After setting the relationship of the phases, we obtain the magnon version of the extended SSH model. Employing this model, we investigate the distribution of edge states and the topological phase transition. Moreover, our scheme can be easily extended to the SSHm model with the jump period $m$ by setting different phase shifts. Finally, considering the noninteger cell case, we find that an arbitrary magnon entangled state can be encoded by two edge states and transferred from the left site end to the right site end via the adiabatic channel. Our work provides a pathway for realizing quantum information transmission and offers an idea for implementing quantum simulations based on cavity magnonics systems.