Gaussian ensembles from an information geometric approach

IGNACIO GOMEZ

Buenos Aires

Jornada; Jornadas de Fundamentos de Cuántica V; 2015

John Templeton Foundation, Facultad de Ciencias Exactas (UNLP)

We present the gaussian emsembles of random matrix theory as a particular case of the information geometrodynamical approach to chaos (IGAC) applied to models of statistical manifolds. Moreover,with the aim of unify some characterizations, using IGAC we also propose a geometrodynamical version of the ergodic hierarchy which allows to place the gaussian ensembles within the more chaotic level, i.e. the Bernoulli level. This proposal justifies the validity of application of the gaussian ensembles in strongly chaotic quantum systems.