2026-06-08T03:08:39Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/64202023-08-25T13:23:38Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Corps, Angel L.
author
Molina, Rafael A.
author
Relaño Pérez, Armando
2023-06-16T15:20:37Z
2023-06-16T15:20:37Z
2020-07-01
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/
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.
eng
Thouless energy challenges thermalization on the ergodic side of the many-body localization transition
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