Torres Herrera, E. JonathanDe Tomasi, GiuseppeSchiulaz, MauroPérez Bernal, FranciscoSantos, Lea F.2022-04-052022-04-052020Torres-Herrera, E. J., De Tomasi, G., Schiulaz, M., Pérez-Bernal, F., & Santos, L. F. (2020). Self-averaging in many-body quantum systems out of equilibrium: Approach to the localized phase. In Physical Review B (Vol. 102, Issue 9). American Physical Society (APS). https://doi.org/10.1103/physrevb.102.0943102469-99502469-9969 (electrónico)http://hdl.handle.net/10272/20823The 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/journal article10.1103/PhysRevB.102.094310open access22 Física