Synchronization of many nanomechanical resonators coupled via a common cavity field.

@article{Holmes2012SynchronizationOM,
  title={Synchronization of many nanomechanical resonators coupled via a common cavity field.},
  author={C A Holmes and Charles P Meaney and Gerard J. Milburn},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 6 Pt 2},
  pages={066203}
}
Using amplitude equations, we show that groups of identical nanomechanical resonators, interacting with a common mode of a cavity microwave field, synchronize to form a single mechanical mode which couples to the cavity with a strength dependent on the squared sum of the individual mechanical-microwave couplings. Classically this system is dominated by periodic behavior which, when analyzed using amplitude equations, can be shown to exhibit multistability. In contrast, groups of sufficiently… CONTINUE READING

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