Dyson’s Brownian Motion and Universal Dynamics of Quantum Systems

Дата и время публикации : 1993-06-10T13:45:08Z

Авторы публикации и институты :
Onuttom Narayan
B. Sriram Shastry

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 10 pages, revtex
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We establish a correspondence between the evolution of the distribution of eigenvalues of a $Ntimes N$ matrix subject to a random Gaussian perturbing matrix, and a Fokker-Planck equation postulated by Dyson. Within this model, we prove the equivalence conjectured by Altshuler et al between the space-time correlations of the Sutherland-Calogero-Moser system in the thermodynamic limit and a set of two-variable correlations for disordered quantum systems calculated by them. Multiple variable correlation functions are, however, shown to be inequivalent for the two cases.

Category: Physics