Applications of random matrix theory to condensed matter and optical physics

Details Applications of random matrix theory to condensed matter and optical physics Applications of random matrix theory to condensed matter and optical physics

2009-04-09

arxiv.org/abs/0904.1432v2

The Oxford Handbook of Random Matrix Theory, edited by G. Akemann, J. Baik, and P. Di Francesco (Oxford University Press, Oxfo

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 17 figures; review written for the "The Oxford Handbook of Random Matrix Theory"; version 2: new section (III.A), ne

Scientific paper

This is a cursory overview of applications of concepts from random matrix theory (RMT) to quantum electronics and classical & quantum optics. The emphasis is on phenomena, predicted or explained by RMT, that have actually been observed in experiments on quantum wires, quantum dots, disordered wave guides, and chaotic resonators. Topics considered include universal conductance fluctuations, weak localization and coherent backscattering, sub-Poissonian shot noise and open transmission channels, non-Gaussian conductance and thermopower distributions, mesoscopic superconductivity, grey-body radiation, and chaotic laser cavities.

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