Delocalized Glassy Dynamics and Many Body Localization - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Preprints, Working Papers, ... Year : 2017

Delocalized Glassy Dynamics and Many Body Localization


We analyze the unusual slow dynamics that emerges in the bad metal delocalized phase preceding the Many-Body Localization transition by using single-particle Anderson Localization on the Bethe lattice as a toy model of many-body dynamics in Fock space. We probe the dynamical evolution by measuring observables such as the imbalance and equilibrium correlation functions, which display slow dynamics and power-laws strikingly similar to the ones observed in recent simulations and experiments. We relate this unusual behavior to the non-ergodic spectral statistics found on Bethe lattices. We discuss different scenarii, such as a true intermediate phase which persists in the thermodynamic limit versus a glassy regime established on finite but very large time and length-scales only, and their implications for real space dynamical properties. In the latter, slow dynamics and power-laws extend on a very large time-window but are eventually cut-off on a time-scale that diverges at the MBL transition.
Fichier principal
Vignette du fichier
1706.02655.pdf (407.29 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

cea-01547373 , version 1 (26-06-2017)



Giulio Biroli, Marco Tarzia. Delocalized Glassy Dynamics and Many Body Localization. 2017. ⟨cea-01547373⟩
137 View
256 Download



Gmail Facebook X LinkedIn More