2021. 09. 28. 16:15 - 2021. 09. 28. 17:15
BME Q épület QBF13 terem
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Esemény típusa: szeminárium
Szervezés: Külsős

Leírás

A BME Matematikai Intézet (Összintézeti)
Matematikai Modellalkotás Szemináriuma

Kivonat:
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!