State transfer and entanglement of two mechanical oscillators in coupled cavity optomechanical system

Abstract

We investigate coupled two-cavity optomechanical systems to show their potential usages by revealing the physical processes. Under two conditions, we deduce the correspondingly effective Hamiltonian with beam splitter type and nondegenerate parametric-down conversion type, respectively. Including the whole interactions, we show that the state transfer and the stationary entanglement between the two mechanical resonators can be achieved.

Keywords:

• cavity optomechanical system
• state transfer
• entanglement

Acknowledgements

We acknowledge the support from the National Natural Science Foundation of China (NNSFC) under Grant No. 11074028. Also, we thank Jiong Cheng, Yan Han, Ruijie Xiao, Hongzhi Shen, Qingzhi An and Chong Li for stimulating discussions.