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Correlations in electrically coupled chaotic lasers.

E J Rosero1, W A S Barbosa1, J F Martinez Avila1,2

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Two coupled semiconductor lasers with optical feedback exhibit surprising synchronized power drops and anti-phase fluctuations. This study reveals complex network dynamics through a simple experimental setup.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Complex systems

Background:

  • Electrically coupled semiconductor lasers are fundamental components in optical communication and signal processing.
  • Optical feedback can induce complex dynamical behaviors in lasers, including chaos.
  • Understanding collective behavior in coupled systems is crucial for network science.

Purpose of the Study:

  • To investigate the dynamics of two electrically coupled semiconductor lasers with optical feedback.
  • To demonstrate and explain the occurrence of simultaneous antiphase correlated fast power fluctuations and in-phase synchronized chaotic power drops.
  • To highlight the relevance of time-scale-dependent cross-correlations in complex systems.

Main Methods:

  • Experimental demonstration using two electrically coupled semiconductor lasers with optical feedback.
  • Numerical simulations based on a deterministic dynamical system of rate equations.
  • Analysis of power fluctuations and cross-correlation functions at different time scales.

Main Results:

  • Observed simultaneous antiphase correlated fast power fluctuations between the lasers.
  • Detected strong in-phase synchronized spikes of chaotic power drops.
  • Confirmed the counterintuitive phenomenon through both experimental and numerical approaches.
  • Demonstrated the occurrence of both negative and positive cross-correlations depending on the time scale.

Conclusions:

  • The coupled laser system exhibits complex, counterintuitive dynamics including synchronized chaotic drops and anti-phase fluctuations.
  • The findings underscore the importance of time-scale-dependent correlations in understanding collective behavior in complex networks.
  • This simple system serves as a model for characterizing emergent properties in more intricate networks.