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Synchronization in an optomechanical cavity.

Keren Shlomi1, D Yuvaraj1, Ilya Baskin1

  • 1Department of Electrical Engineering, Technion, Haifa 32000, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
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Summary
This summary is machine-generated.

We observed synchronization in self-excited oscillations (SEO) of an optomechanical cavity when modulated by optical power. This study analyzes the phase space distribution and dynamics using tomography, comparing experimental findings with theoretical predictions.

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Area of Science:

  • Optomechanics
  • Nonlinear Dynamics
  • Quantum Optics

Background:

  • Self-excited oscillations (SEO) are fundamental phenomena in various physical systems.
  • Optomechanical cavities offer a unique platform to study the interplay between light and mechanical motion.
  • Understanding and controlling SEO is crucial for developing advanced sensors and quantum technologies.

Purpose of the Study:

  • To investigate the synchronization of self-excited oscillations in an on-fiber optomechanical cavity under modulated optical power.
  • To theoretically analyze the phase space distribution (PSD) of the mechanical resonator using the Fokker-Planck equation.
  • To experimentally characterize phase diffusion and phase locking of the SEO using time-resolved state tomography.

Main Methods:

  • Utilizing an on-fiber optomechanical cavity setup.
  • Applying periodic modulation to the injected optical power.
  • Theoretical analysis with the Fokker-Planck equation to predict phase space distribution.
  • Employing a tomography technique to extract PSD from reflected optical power measurements.
  • Performing time-resolved state tomography for dynamic analysis.

Main Results:

  • Observed synchronization of self-excited oscillations when optical power is modulated.
  • Experimentally determined the detuning region for synchronization.
  • Successfully extracted phase space distribution from experimental data.
  • Studied phase diffusion and phase locking dynamics of the SEO.

Conclusions:

  • Synchronization of SEO in optomechanical cavities is achievable through optical power modulation.
  • The theoretical framework based on the Fokker-Planck equation accurately predicts the system's behavior.
  • Tomography is a powerful tool for characterizing the phase space dynamics of optomechanical systems.
  • Experimental results align well with theoretical predictions, validating the model.