Anderson localization of waves in disordered media was originally predicted fifty years ago,
in the context of transport of electrons in crystals. The phenomenon is much more general …

We report the observation of the signature of a localization phase transition for light in one-
dimensional quasiperiodic photonic lattices, by directly measuring wave transport inside the …

Conduction through materials crucially depends on how ordered the materials are.
Periodically ordered systems exhibit extended Bloch waves that generate metallic bands …

We discuss recent advances in the understanding of the dynamics of nonlinear lattice waves
in heterogeneous media, which enforce complete wave localization in the linear wave …

Waveguide lattices offer a compact and stable platform for a range of applications, including
quantum walks, condensed matter system simulation, and classical and quantum …

We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …

We investigate the localization properties of a one-dimensional bichromatic optical lattice in
the tight-binding regime, by discussing how exponentially localized states emerge upon …

We develop a renormalization group (RG) description of the localization properties of one-
dimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit …

We investigate the dynamical evolution of a parity-time (PT) symmetric extension of the
Aubry-André (AA) model, which exhibits the coincidence of a localization-delocalization …

The striking differences between quantum and classical systems predicate disruptive
quantum technologies. We peruse quantumness from a variety of viewpoints, concentrating …