Abstract
We investigate collective nonlinear dynamics in a blue-detuned optomechanical cavity that is mechanically coupled to an undriven mechanical resonator. By controlling the strength of the driving field, we engineer a mechanical gain that balances the losses of the undriven resonator. This gain-loss balance corresponds to the threshold where both coupled mechanical resonators enter simultaneously into self-sustained limit cycle oscillations regime. Rich sets of collective dynamics such as in-phase and out-of-phase synchronizations therefore emerge, depending on the mechanical coupling rate, the optically induced mechanical gain and spring effect, and the frequency mismatch between the resonators. Moreover, we introduce the quadratic coupling that induces enhancement of the in-phase synchronization. This work shows how phonon transport can remotely induce synchronization in coupled mechanical resonator array and opens up new avenues for metrology, communication, phonon-processing, and novel memories concepts.
Highlights
Recent progress in nanoengineering has led to exotic optomechanical crystals [1,2,3], which are able to confine several optical and mechanical modes on a single chip
This gain-loss balance corresponds to the threshold where both coupled mechanical resonators enter simultaneously into self-sustained limit cycle oscillations regime. This leads to rich sets of collective dynamics such as in-phase and out-of-phase synchronizations, depending on the mechanical coupling rate, the frequency mismatch between the resonators, and the external driving strength through the mechanical gain and the optical spring effect
We have investigated collective dynamics in a blue-detuned optomechanical cavity that is mechanically coupled to an undriven mechanical resonator
Summary
Recent progress in nanoengineering has led to exotic optomechanical crystals [1,2,3], which are able to confine several optical and mechanical modes on a single chip. By adopting the general case of nondegenerated mechanical resonators, we have identified different sets of synchronized states emerging in our proposal These synchronized states depend on the mechanical coupling, the frequency mismatch of the two resonators, and the external driving that controls the mechanical gain and the optical spring effect. A similar idea to our proposal has been recently implemented to demonstrate an optomechanical transducer based on two elastically coupled cantilevers [24] In this experiment, one of the cantilevers is trapped by a harmonically oscillating optical field inside a fiber-based cavity, while the other one has been left undriven.
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