Equilibration time in many-body quantum systems
| Autor: | Talía L. M. Lezama, Francisco Pérez-Bernal, Lea F. Santos, Yevgeny Bar Lev, E. Jonathan Torres-Herrera |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
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| Zdroj: | Arias Montano. Repositorio Institucional de la Universidad de Huelva instname |
| Popis: | 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. This research was supported by a grant from the United States-Israel Binational Foundation (BSF, Grant No. 2019644), Jerusalem, Israel, and the United States National Science Foundation (NSF, Grant No. DMR- 1936006), and by the Israel Science Foundation (grants No. 527/19 and 218/19). T.L.M.L. acknowledges fund- ing from the Kreitman fellowship. E.J.T.-H. is grateful to LNS-BUAP for their supercomputing facility. Comput- ing resources supporting this work were provided by the CEAFMC and Universidad de Huelva High Performance Computer (HPC@UHU) located in the Campus Uni- versitario el Carmen and funded by FEDER/MINECO project UNHU-15CE-2848. F.P.B. thanks Spanish Na- tional Research, Development, and Innovation plan (RDI plan) under the project PID2019-104002GB-C21 and the Consejería de Conocimiento, Investigación y Universi- dad, Junta de Andalucía and European Regional Devel- opment Fund (ERDF), refs. SOMM17/6105/UGR and UHU-1262561. |
| Databáze: | OpenAIRE |
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