Correlations in Electrically Coupled Chaotic Lasers

TL;DR

This paper investigates how electrically coupled chaotic lasers exhibit complex synchronization phenomena, including anti-phase and in-phase correlations, enhancing understanding of collective behaviors in complex networks.

Contribution

It demonstrates experimentally and numerically that coupled chaotic lasers can show simultaneous anti-phase and in-phase correlations, revealing new insights into complex system dynamics.

Findings

Anti-phase correlated fast power fluctuations observed

Strong in-phase synchronized spikes of chaotic power drops

Negative and positive cross correlations depend on time scales

Abstract

We show how two electrically coupled semiconductor lasers having optical feedback can present simultaneous anti-phase correlated fast power fluctuations, and strong in-phase synchronized spikes of chaotic power drops. This quite counter intuitive phenomenon is demonstrated experimentally and confirmed by numerical solutions of a deterministic dynamical system of rate equations. The occurrence of negative and positive cross correlation between parts of a complex system according to time scales, as proved in our simple arrangement, is relevant for the understanding and characterization of collective properties in complex networks.