Localization as an entanglement phase transition in boundary-driven Anderson models

Understand

The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition.

• On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of equilibrium.
• Here we study the localization transition in the prototypical three-dimensional, noninteracting Anderson model when the system is driven at its boundaries to induce a current carrying non-equilibrium steady state.
• Recently we showed that the diffusive phase of this model exhibits extensive mutual information of its non-equilibrium steady-state density matrix.