title: Measuring maximal eigenvalue distribution of Wishart random matrices with coupled lasers.
abstract: We determined the probability distribution of the combined output power from 25 coupled fiber lasers and show that it agrees well with the Tracy-Widom and Majumdar-Vergassola distributions of the largest eigenvalue of Wishart random matrices with no fitting parameters. This was achieved with 500,000 measurements of the combined output power from the fiber lasers, that continuously changes with variations of the fiber lasers lengths. We show experimentally that for small deviations of the combined output power over its mean value the Tracy-Widom distribution is correct, while for large deviations the Majumdar-Vergassola distribution is correct.
authors.affiliation: Weizmann Institute of Science, Department of Physics of Complex Systems, Rehovot 76100, Israel.
authors.forename: Moti
authors.initials: M
authors.lastname: Fridman
authors.forename: Rami
authors.initials: R
authors.lastname: Pugatch
authors.forename: Micha
authors.initials: M
authors.lastname: Nixon
authors.forename: Asher A
authors.initials: AA
authors.lastname: Friesem
authors.forename: Nir
authors.initials: N
authors.lastname: Davidson
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007834:Lasers; D015233:Models, Statistical; D012542:Scattering, Radiation