We use advanced statistical tools of time-series analysis to characterize the dynamical complexity of the transition to optical wave turbulence in a fiber laser. Ordinal analysis and the horizontal visibility graph applied to the experimentally measured laser output intensity reveal the presence of temporal correlations during the transition from the laminar to the turbulent lasing regimes. Both methods unveil coherent structures with well-defined time scales and strong correlations both, in the timing of the laser pulses and in their peak intensities. Our approach is generic and may be used in other complex systems that undergo similar transitions involving the generation of extreme fluctuations.
Bibliographical note© 2016 American Physical Society. Unveiling Temporal Correlations Characteristic of a Phase Transition in the Output Intensity of a Fiber Laser.
A. Aragoneses, L. Carpi, N. Tarasov, D. V. Churkin, M. C. Torrent, C. Masoller, and S. K. Turitsyn. Phys. Rev. Lett. 116, 033902 – Published 22 January 2016
-Funding: ERC project ULTRALASER; Ministry of Education and Science of the Russian Federation (14.B25.31.0003); Spanish MINECO (FIS2012-37655-C02-01), European Office of Aerospace Research and Development (EOARD - FA9550-14-1-0359); CNPq Brazil, Russian Foundation for Basic Research (15-02-07925); Presidential Grant for Young researchers (126.96.36.199-MK); and Russian Science Foundation (Grant No. 14-21-00110).