2026-06-08T08:39:10Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/64202023-08-25T13:23:38Zcom_20.500.14352_14col_20.500.14352_15

Thouless energy challenges thermalization on the ergodic side of the many-body localization transition Corps, Angel L. Molina, Rafael A. Relaño Pérez, Armando ©2020 American Physical Society. This work has been supported by the Spanish Grants No. FIS2015-63770-P (MINECO/FEDER) and No. PGC2018-094180-B-I00 (MCIU/AEI/FEDER, EU), CAM/FEDER Project No. S2018/TCS-4342 (QUITEMAD-CM), and CSIC Research Platform No. PTI-001. We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum of the full momentum distribution fluctuations, is not large enough to guarantee thermalization. We find that both estimates coincide and behave nonmonotonically, exhibiting a strong peak at an intermediate value of the disorder. Furthermore, we show that nonthermalizing initial conditions occur well within the ergodic phase with larger probability than expected. Finally, we propose a mechanism, driven by the Thouless energy and the presence of anomalous events, for the transition to the localized phase. 2023-06-16T15:20:37Z 2023-06-16T15:20:37Z 2020-07-01 journal article 2469-9950 10.1103/PhysRevB.102.014201 https://hdl.handle.net/20.500.14352/6420 https://doi.org/10.1103/PhysRevB.102.014201 https://journals.aps.org/ eng (FIS2015-63770-P; PGC2018-094180-B-I009 QUITEMAD-CM (S2018/TCS-4342) PTI-001 open access American Physical Society