Microscopic-macroscopic entanglement transfer in optomechanical system: Non-Markovian effects

In this paper, we investigate the entanglement transfer in two coupled optomechanical systems. A master equation governing the dynamics of the optomechanical systems is derived beyond the Markov approximation. Based on the master equation, we investigate the entanglement transfer from microscopic objects (electromagnetic cavities) to macroscopic objects (mechanical resonators). We show the memory effect of the environment can enhance the entanglement transfer between cavities and resonators. The non-Markovian feedback results in a stronger entanglement transfer, and it also leads to an entanglement revival in the resonators which can make the entanglement last for a longer time. Besides, we also show that in order to achieve higher entanglement transfer, some crucial system parameters such as the inter-cavity coupling should be properly chosen based on the strength of the memory effect. It is our hope that our research is helpful for future studies about entanglement transfer between microscopic and macroscopic objects, particularly for the impact from the environment.