Enhanced entanglement induced by Coulomb interaction in coupled optomechanical systems

We consider a coupled optomechanical system, in which two charged mechanical resonators are coupled through long range Coulomb interaction. It is shown that remote entanglement between the two charged mechanical resonators can be achieved by long range Coulomb interaction. Such a coupled optomechanical system exhibits the classical to quantum transition behavior. The outcome of our numerical simulation shows that in the absence of optomechanical coupling, quantum entanglement between the two mechanical resonators can be achieved for large Coulomb coupling strengths and small effective temperature. In addition, the entanglement between the two mechanical resonators can be enhanced through input laser power. We also investigate the entanglement transfer through Coulomb interaction and optomechanical couplings.