Abstract
Random lasers (RLs) are remarkable experimental platforms to advance the understanding of complex systems phenomena, such as the replica-symmetry-breaking (RSB) spin glass phase, dynamics modes correlations, and turbulence. Here we study these three phenomena jointly in a Nd:YAG based RL synthesized for the first time using a spray pyrolysis method. We propose a couple of modified Pearson correlation coefficients that are simultaneously sensitive to the emergence and fading out of photonic intermittency turbulent-like effects, dynamics evolution of modes correlations, and onset of RSB behavior. Our results show how intertwined these phenomena are in RLs, and suggest that they might share some common underlying mechanisms, possibly approached in future theoretical models under a unified treatment.
Highlights
Random Lasers (RLs) have become valuable photonics sources for a diversity of basic and applied studies since their conception by Letokhov in 19661, followed by experimental studies of stimulated emission with Nd3+ ions[2,3], and the definitive demonstration of laser action in a scattering medium in 19944
Lévy statistics is typical of systems exhibiting strong fluctuations, which are generally not accounted for by considering conventional statistical physics models based on weak Brownian fluctuations dynamics and the central limit theorem[24]
We demonstrate that the joint analysis of the modes dynamics correlations, replica symmetry breaking (RSB) phenomenon, and intermittency turbulent-like effects can be performed from a couple of modified Pearson coefficients
Summary
Random Lasers (RLs) have become valuable photonics sources for a diversity of basic and applied studies since their conception by Letokhov in 19661, followed by experimental studies of stimulated emission with Nd3+ ions[2,3], and the definitive demonstration of laser action in a scattering medium in 19944. We demonstrate that the joint analysis of the modes dynamics correlations, RSB phenomenon, and intermittency turbulent-like effects can be performed from a couple of modified Pearson coefficients.
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