How a Small Quantum Bath Can Thermalize Long Localized Chains
Luitz, David J.; Huveneers, François; De Roeck, Wojciech (2017), How a Small Quantum Bath Can Thermalize Long Localized Chains, Physical Review Letters, 119, 15, p. 7. 10.1103/PhysRevLett.119.150602
TypeArticle accepté pour publication ou publié
Journal namePhysical Review Letters
American Physical Society
MetadataShow full item record
Author(s)Luitz, David J.
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
De Roeck, Wojciech
Institut für Theoretische Physik
Abstract (EN)We investigate the stability of the many-body localized phase for a system in contact with a single ergodic grain modeling a Griffiths region with low disorder. Our numerical analysis provides evidence that even a small ergodic grain consisting of only three qubits can delocalize a localized chain as soon as the localization length exceeds a critical value separating localized and extended regimes of the whole system. We present a simple theory, consistent with De Roeck and Huveneers’s arguments in [Phys. Rev. B 95, 155129 (2017)] that assumes a system to be locally ergodic unless the local relaxation time determined by Fermi’s golden rule is larger than the inverse level spacing. This theory predicts a critical value for the localization length that is perfectly consistent with our numerical calculations. We analyze in detail the behavior of local operators inside and outside the ergodic grain and find excellent agreement of numerics and theory.
Subjects / KeywordsStatistical Physics; Condensed Matter & Materials Physics; Matière Condensée; Electrons fortement corrélés
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