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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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A two-frequency-two-coupling model of coupled oscillators.

Hyunsuk Hong1, Erik A Martens2

  • 1Department of Physics and Research Institute of Physics and Chemistry, Jeonbuk National University, Jeonju 54896, South Korea.

Chaos (Woodbury, N.Y.)
|September 2, 2021
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Summary
This summary is machine-generated.

Correlated disorder in coupled oscillators causes subpopulations to split into phase-locked or drifting states. Uncorrelated disorder leads to more complex dynamics, including stable or periodic phase-locked pairs, impacting overall synchronization.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Understanding phase coherence in coupled oscillator systems is crucial for diverse fields.
  • Disorder in coupling strengths and frequencies significantly impacts collective dynamics.
  • Previous models often simplify the nature of disorder, limiting applicability.

Purpose of the Study:

  • To investigate the effect of correlated versus uncorrelated disorder on phase coherence dynamics.
  • To analyze the Two-Frequency and Two-Coupling (TFTC) model using analytical and numerical methods.
  • To identify distinct dynamic states arising from different disorder configurations.

Main Methods:

  • Numerical simulations of the TFTC model.
  • Exact dimensional reduction techniques for analyzing collective dynamics.
  • Analysis of local order parameters to characterize oscillator behavior.

Main Results:

  • Correlated disorder leads to two subpopulations (Lock-Lock or Lock-Drift) with a constant phase difference.
  • Uncorrelated disorder results in up to four phase-locked subpopulations, forming stable or drifting pairs.
  • Incoherence is unstable for correlated disorder and neutrally stable for uncorrelated disorder.

Conclusions:

  • The correlation between frequency and coupling strength disorder dictates distinct collective behaviors in oscillator networks.
  • The TFTC model provides a simplified yet powerful framework for understanding complex synchronization phenomena.
  • These findings have implications for real-world systems exhibiting similar disordered dynamics.