Optomechanical state transfer in the presence of non-Markovian environments

Quantum state transfer is one of the most prominent protocols in quantum information. In the context of optomechanics, it is still an important task, as it allows us to reliably convert an optical pulse into a mechanical excitation. In this paper, the quantum state transfer between a moveable mirror and cavity field is studied when the system is surrounded by non-Markovian environments, which has been recently realized in experiment. Utilizing the experimental spectrum density, we find that the transition from weak non-Markovianity to strong non-Markovianity happens when choosing a suitable optomechanical coupling strength. We also show that quantum state transfer can be implemented with high fidelity in the non-Markovian environment, and the non-Markovian memory effect is helpful for state transfer both in the short-time and long-time scales.