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Bulletin of the American Physical Society

Towards Long Range Spin-Spin Interactions via Mechanical Resonators

Jan Gieseler, Arthur Safira, Aaron Kabcenell, Jack Harris, Mikhail D. Lukin

Published Jun 8, 2017• 0 citations
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Abstract 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.
Nitrogen-vacancy centers in diamond, being a promising candidate for quantum information processing, may also be an ideal platform for simulating many-body physics. However, it is difficult to realize interactions between nitrogen-vacancy centers strong enough to form a macroscopically ordered phase under realistic temperatures. Here we propose a scheme to realize long-range ferromagnetic Ising interactions between distant nitrogen-vacancy centers by using a mechanical resonator as a medium. Since the critical temperature in the long-range Ising model is proportional to the number of spins, a ferromagnetic order can be formed at a temperature of tens of millikelvin for a sample with ∼ 10 4 nitrogen-vacancy centers. This method may provide a new platform for studying many-body physics using qubit systems.