Accelerated Quantum State Transfer and Entanglement Generation in a Hybrid Cavity-Magnonics System via Superadiabatic Transitionless Driving

In this paper, we propose a protocol for realizing quantum state transfer and entanglement generation between two spatially separated magnon modes within a hybrid cavity-magnonic system via dressed-statebased superadiabatic transitionless driving (SATD). The system consists of two identical yttrium iron garnet (YIG) spheres hosted inside a microwave cavity, whose magnon modes couple to the cavity mode through the magnetic dipole interaction. We derive the system's adiabatic dark state to implement stimulated Raman adiabatic passage (STIRAP) for quantum state transfer and entanglement generation. Within the SATD framework, we perform a dressed-state-based unitary transformation to derive a corrected Hamiltonian, which suppresses nonadiabatic transitions and accelerates the system evolution. Numerical simulations demonstrate that the proposed scheme significantly outperforms conventional STIRAP and exhibits robustness against variations in control parameters as well as decoherence effects.