Measuring maximal eigenvalue distribution of Wishart random matrices with coupled lasers

被引：28

作者：

Fridman, Moti ^{[1
]}

Pugatch, Rami ^{[1
]}

Nixon, Micha ^{[1
]}

Friesem, Asher A. ^{[1
]}

Davidson, Nir ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 02期

关键词：

LEVEL-SPACING DISTRIBUTIONS; FIBER LASER; PHASE-LOCKING; ARRAY;

D O I：

10.1103/PhysRevE.85.020101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：4

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