Fig. 1: Schematic erbium-based RFL with random fiber Bragg gratings.
From: Photonics bridges between turbulence and spin glass phenomena in the 2021 Nobel Prize in Physics
Below threshold, a single central maximum in the distribution \(P(Q_\tau )\) for τ = 0 of the Parisi replica overlap parameter indicates a replica-symmetric (RS) regime with non-turbulent behavior identified by a Gaussian \(P(x_\tau )\) for τ = 1. Above threshold, \(P(Q_\tau )\) for τ = 0 displays two side maxima demonstrating the presence of a RSB spin glass phase simultaneous with turbulent-like behavior in which \(P(x_\tau )\) for τ = 1 is a heavy-tailed distribution of asymptotic stretched-exponential form. Intermittency effects fade away either below threshold or for \(\tau \gg 1\), as rare events in \(P(Q_\tau )\) at much shorter time scales become quite more likely for larger τ (Adapted from4)
