Circular Rosenzweig-Porter random matrix ensemble

by Dr. Wouter Buijsman

BGU

at Condensed Matter Seminar

Mon, 08 Nov 2021, 11:30
Sacta-Rashi Building for Physics (54), room 207

Abstract

The Rosenzweig-Porter random matrix ensemble serves as a qualitative phenomenological model for the level statistics and fractality of eigenstates across the many-body localization transition in static systems. In this talk, I will propose a unitary (circular) analogue of the Rosenzweig-Porter ensemble, which similarly captures the phenomenology of many-body localization in periodically driven (Floquet) systems. The ensemble is defined as the outcome of a Dyson Brownian motion process. I will show numerical evidence that the circular analogue shares some key properties with the Rosenzweig-Porter ensemble for both the eigenvalues and the eigenstates.

Created on 14-10-2021 by Meidan, Dganit (dganit)
Updaded on 07-11-2021 by Meidan, Dganit (dganit)