Self-averaging in many-body quantum systems out of equilibrium: Approach to the localized phase.
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Research article, peer-reviewed. Open Access.
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.
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.
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