Zaránd, Gergely (BME, Institute of Physics) 

Random matrices and the geometry of random eigenstates from a physicist’s perspective

Random matrix ensembles have a broad physical application: so-called Gaussian ensembles describe generic quantum-mechanical spectra of chaotic and disordered quantum systems, while circular ensembles account for their scattering properties. I will first give an overview of the most famous random matrix ensembles, and show some specific examples of their physical application.

Deformations of a physical system by external electrodes, e.g., can be translated to deformations of random matrices and their corresponding eigenstates.  In the second part of this seminar, I plan to discuss the effect of these deformations, and the corresponding geometrical properties of the eigenstates of random matrix ensembles.  I will, in particular, discuss the topological structure of degeneracies, their densities, and will also show some recent analytical and numerical results for the distribution of the so-called quantum geometric tensor..

The talk is held in Hungarian!

Az előadás nyelve magyar!

Date: Sep 28, Tuesday 4:15pm

Place: BME, Building „Q”, Room QBF13

Homepage of the Seminar