Many-body mobility edge in a mean-field quantum spin glass

Understand

The quantum random energy model provides a mean-field description of the equilibrium spin glass transition.

• We show that it further exhibits a many-body localization - delocalization (MBLD) transition when viewed as a closed quantum system.
• The mean-field structure of the model allows an analytically tractable description of the MBLD transition using the forward-scattering approximation and replica techniques.
• The predictions are in good agreement with the numerics.