Dynamical quantum phase transitions in many-body localized systems

Understand

We investigate dynamical quantum phase transitions in disordered quantum many-body models that can support many-body localized phases.

• Employing $l$-bits formalism, we lay out the conditions for which singularities indicative of the transitions appear in the context of many-body localization.
• Using the combination of the mapping onto $l$-bits and exact diagonalization results, we explicitly demonstrate the presence of these singularities for a candidate model that features many-body localization.
• Our work paves the way for understanding dynamical quantum phase transitions in the context of many-body localization, and elucidating whether different phases of the latter can be detected from analyzing the former.