RT Journal Article
T1 Self-averaging in many-body quantum systems out of equilibrium. II. Approach to the localized phase
A1 Torres Herrera, E. Jonathan
A1 De Tomasi, Giuseppe
A1 Schiulaz, Mauro
A1 Pérez Bernal, Francisco
A1 Santos, Lea F.
AB 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.
PB American Physical Society
SN 2469-9950
SN 2469-9969 (electrónico)
YR 2020
FD 2020
LK http://hdl.handle.net/10272/20823
UL http://hdl.handle.net/10272/20823
LA eng
NO Torres-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.102.094310
NO E.J.T.-H. acknowledges funding from VIEP-BUAP(Grant Nos. MEBJ-EXC19-G, LUAGEXC19-G), Mexico. He is also grateful to LNS-BUAP for allowinguse of their supercomputing facility. M.S. and L.F.S.were supported by the NSF Grant No. DMR-1603418and gratefully acknowledges support from the SimonsCenter for Geometry and Physics, Stony Brook University at which some of the research for this paper was performed. F.P.B. thanks the Consejer´ıa deConocimiento, Investigaci´on y Universidad, Junta deAndaluc´ıa and European Regional Development Fund(ERDF), ref. SOMM17/6105/UGR. Additional computer resources supporting this work were provided bythe Universidad de Huelva CEAFMC High PerformanceComputer located in the Campus Universitario el Carmen and funded by FEDER/MINECO project UNHU15CE-2848. L.F.S. is supported by the NSF GrantNo. DMR-1936006. Part of this work was performed atthe Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611. G.D.T.acknowledges the hospitality of MPIPKS Dresden, wherepart of the work was performed.
DS Repositorio Institucional de la Universidad de Huelva
RD 29 may 2026