Self-averaging in many-body quantum systems out of equilibrium: Approach to the localized phase.

Date

2020-09-23

Authors

Santos, Lea F.
Torres-Herrera, E. Jonathan
De Tomasi, Giuseppe
Schiulaz, Mauro
Pérez-Bernal, Francisco

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

The self-averaging behavior of interacting many-body quantum systems has been mostly studied at equilibrium. The present paper addresses what happens out of equilibrium, as the increase of the strength of on-site disorder takes the system to the localized phase. We consider two local and two nonlocal quantities of great experimental and theoretical interest. In the delocalized phase, self-averaging depends on the observable and on the timescale, but the picture simplifies substantially when localization is reached. In the localized phase, the local observables become self-averaging at all times while the nonlocal quantities are throughout non-self-averaging. These behaviors are explained and scaling analysis is provided using the ℓ-bit model and a toy model.

Description

Research article, peer-reviewed. Open Access.

Keywords

quantum quench, metal-insulator transition, disordered systems, Condensed Matter & Materials Physics

Citation

Santos, Lea F., E Jonathan Torres-Herrera, Giuseppe De Tomasi, Mauro Schiulaz, Francisco Pérez-Bernal. (2020). Self-averaging in many-body quantum systems out of equilibrium: Approach to the localized phase. Physical Review B 102(9): 094310.