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