Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.150602
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Funding
- European Union's Horizon research and innovation program under the Marie Sklodowska-Curie Grant [747914]
- Partnership for advanced computing in Europe (PRACE) [2016153659]
- French National Research Agency [EDNHS ANR-14-CE25-0011, LSD ANR-15-CE40-0020-01]
- Flemish Research Fund FWO [G076216N]
- Marie Curie Actions (MSCA) [747914] Funding Source: Marie Curie Actions (MSCA)
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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.
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