Applications of random matrix theory to condensed matter and optical physics

Abstract

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.

19 pages, 17 figures; review written for the "The Oxford Handbook of Random Matrix Theory"; version 2: new section (III.A), new figure (3)

References in corpus (1)

• Semiclassical gaps in the density of states of chaotic Andreev billiards

Cited by in corpus (7)

• Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
• Fluctuations and correlations of transmission eigenchannels in diffusive media
• Iterative, backscatter-analysis algorithms for increasing transmission and focusing light through highly-scattering random media
• GUE-chGUE Transition preserving Chirality at finite Matrix Size
• Random matrix theory and critical phenomena in quantum spin chains
• Backscatter analysis based algorithms for increasing transmission through highly-scattering random media using phase-only modulated wavefronts
• The transmission coefficient distribution of highly scattering sparse random media