RT Journal Article
T1 Equilibration time in many-body quantum systems
A1 Lezama, Talía L. M.
A1 Torres Herrera, E. Jonathan
A1 Pérez Bernal, Francisco
A1 Bar Lev, Yevgeny
A1 Santos, Lea F.
AB Isolated many-body quantum systems quenched far from equilibrium can eventually equilibrate, but it is not yet clear how long they take to do so. To answer this question, we use exact numerical methods and analyze the entire evolution, from perturbation to equilibration, of a paradigmatic disordered many-body quantum system in the chaotic regime. We investigate how the equilibration time depends on the system size and observables. We show that if dynamical manifestations of spectral correlations in the form of the correlation hole (“ramp”) are taken into account, the time for equilibration scales exponentially with system size, while if they are neglected, the scaling is better described by a power law with system size, although with an exponent larger than what is expected for diffusive transport.
PB American Physical Society
SN 2469-9950
SN 2469-9969 (electrónico)
YR 2021
FD 2021
LK http://hdl.handle.net/10272/20809
UL http://hdl.handle.net/10272/20809
LA eng
NO Lezama, T. L. M., Torres-Herrera, E. J., Pérez-Bernal, F., Bar Lev, Y., & Santos, L. F. (2021). Equilibration time in many-body quantum systems. In Physical Review B (Vol. 104, Issue 8). American Physical Society (APS). https://doi.org/10.1103/physrevb.104.085117
NO This research was supported by a grant from theUnited States-Israel Binational Foundation (BSF, GrantNo. 2019644), Jerusalem, Israel, and the United StatesNational Science Foundation (NSF, Grant No. DMR-1936006), and by the Israel Science Foundation (grantsNo. 527/19 and 218/19). T.L.M.L. acknowledges fund-ing from the Kreitman fellowship. E.J.T.-H. is grateful toLNS-BUAP for their supercomputing facility. Comput-ing resources supporting this work were provided by theCEAFMC and Universidad de Huelva High PerformanceComputer (HPC@UHU) located in the Campus Uni-versitario el Carmen and funded by FEDER/MINECOproject UNHU-15CE-2848. F.P.B. thanks Spanish Na-tional Research, Development, and Innovation plan (RDIplan) under the project PID2019-104002GB-C21 and theConsejería de Conocimiento, Investigación y Universi-dad, Junta de Andalucía and European Regional Devel-opment Fund (ERDF), refs. SOMM17/6105/UGR andUHU-1262561.
DS Repositorio Institucional de la Universidad de Huelva
RD 14 jul 2026