Researchers give a full account of results on localization properties for the Anderson model.

Disorder effects on interacting quantum many-body systems have recently seen rapidly rising interest.

Possible mechanisms for energy transfer based on ‘rare’ or ‘non-perturbative’ effects, in physical systems that present a many-body localized phenomenology are reviewed.

Decoherence plays an important role in quantum mechanics. In general, uncontrolled interaction of a quantum system with its environment will cause it to lose its quantum properties. Controlled decoherence or dissipation, on the other hand, can be used to engineer...