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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Bifurcation Generated Mechanical Frequency Comb.

David A Czaplewski1, Changyao Chen1, Daniel Lopez1

  • 1Center for Nanoscale Materials, Argonne National Laboratory, Lemont, Illinois 60439, USA.

Physical Review Letters
|January 5, 2019
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Summary
This summary is machine-generated.

We discovered a new behavior in nonlinear micromechanical resonators due to strong mode coupling. This leads to periodic amplitude modulations and a frequency comb, offering a new way to study complex dynamics.

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Area of Science:

  • Nonlinear dynamics
  • Micromechanical resonators
  • Complex systems

Background:

  • Nonlinear micromechanical resonators exhibit complex behaviors under specific operating conditions.
  • Mode coupling significantly influences resonator dynamics, leading to phenomena like frequency combs.

Purpose of the Study:

  • To demonstrate a novel response in nonlinear micromechanical resonators.
  • To investigate the role of nonlinear mode coupling in resonator dynamics.
  • To explore the emergence of frequency combs and saddle-node on an invariant circle (SNIC) bifurcations.

Main Methods:

  • Excitation of a nonlinear micromechanical resonator with a single drive signal.
  • Characterization of resonator response, focusing on periodic amplitude modulations.
  • Theoretical modeling using a generic model for 1:3 internal resonance.

Main Results:

  • Observed periodic amplitude modulations in resonator response.
  • Identified nonlinear mode coupling as the cause of these modulations.
  • Demonstrated the emergence of a frequency-comb regime in the spectral response.
  • Linked the novel behavior to a saddle-node on an invariant circle (SNIC) bifurcation.

Conclusions:

  • Nonlinear mode coupling in micromechanical resonators can induce novel dynamic responses, including frequency combs.
  • The observed behavior is explained by a SNIC bifurcation.
  • These resonators serve as valuable testbeds for studying SNIC dynamics across various scientific fields.