Extreme value statistics in coupled lasers

TL;DR

This paper investigates the phase locking level in coupled lasers without common frequency, showing that its probability distribution follows a Gumbel distribution, and presents a model aligning well with experimental data.

Contribution

It introduces an experimental setup and a simple spectral response model to analyze the extreme value statistics of coupled lasers' phase locking levels.

Findings

Phase locking level distribution fits a Gumbel distribution

Model results agree with experimental data

Extreme value statistics apply to coupled laser dynamics

Abstract

Experimental configuration for investigating the dynamics and the statistics of the phase locking level of coupled lasers that have no common frequency is presented. The results reveal that the probability distribution of the phase locking level of such coupled lasers fits a Gumbel distribution that describes the extreme value statistic of Gaussian processes. A simple model, based on the spectral response of the coupled lasers, is also described, and the calculated results are in good agreement with the experimental results.