2026-06-08T09:51:49Zhttps://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
Thouless energy challenges thermalization on the ergodic side of the many-body localization transition
Corps, Angel L.
Molina, Rafael A.
Relaño Pérez, Armando
536
Statistical-mechanics
Quantum
Repulsion
Behavior
Spectra
Systems
Chaos
Termodinámica
2213 Termodinámica
©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.
Ministerio de Economía y Competitividad (MINECO)/FEDER
Comunidad de Madrid/FEDER
CSIC Research Platform
Depto. de Estructura de la Materia, Física Térmica y Electrónica
Fac. de Ciencias Físicas
TRUE
pub
2023-06-16T15:20:37Z
2023-06-16T15:20:37Z
2020-07-01
journal article
https://hdl.handle.net/20.500.14352/6420
2469-9950
10.1103/PhysRevB.102.014201
eng
(FIS2015-63770-P; PGC2018-094180-B-I009
QUITEMAD-CM (S2018/TCS-4342)
PTI-001
open access
application/pdf
American Physical Society