RT Journal Article
T1 Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems
A1 Schiulaz, Mauro
A1 Torres Herrera, E. Jonathan
A1 Pérez Bernal, Francisco
A1 Santos, Lea F.
AB Despite its importance to experiments, numerical simulations, and the development of theoretical models,self-averaging in many-body quantum systems out of equilibrium remains underinvestigated. Usually, in thechaotic regime, self-averaging is taken for granted. The numerical and analytical results presented here forceus to rethink these expectations. They demonstrate that self-averaging properties depend on the quantity andalso on the time scale considered. We show analytically that the survival probability in chaotic systems is notself-averaging at any time scale, even when evolved under full random matrices.We also analyze the participationratio, Rényi entropies, the spin autocorrelation function from experiments with cold atoms, and the connectedspin-spin correlation function from experiments with ion traps. We find that self-averaging holds at short timesfor the quantities that are local in space, while at long times, self-averaging applies for quantities that are localin time. Various behaviors are revealed at intermediate time scales.
PB American Physical Society
SN 2469-9950
SN 2469-9969 (electrónico)
YR 2020
FD 2020
LK http://hdl.handle.net/10272/20829
UL http://hdl.handle.net/10272/20829
LA eng
NO Schiulaz, M., Torres-Herrera, E. J., Pérez-Bernal, F., & Santos, L. F. (2020). Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems. In Physical Review B (Vol. 101, Issue 17). American Physical Society (APS). https://doi.org/10.1103/physrevb.101.174312
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026