Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model

Aritra Sinha, Marek M. Rams, Jacek Dziarmaga

The Aubry-André 1D lattice model describes a particle hopping in a pseudo-random potential. Depending on its strength $\lambda$, all eigenstates are either localized ($\lambda >1$) or delocaliz…