The Ergodic Side of the Many-Body Localization Transition

Understand

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the entanglement entropy.

• Here we review the dynamical properties of this phase and the available numerically exact and approximate methods for its study.
• We discuss in which sense this phase could be considered ergodic and present possible phenomenological explanations of its dynamical properties.
• We close by analyzing to which extent the proposed explanations were verified by numerical studies and present the open questions in this field.