The physics of a photonic structure is commonly described in terms of its apparent geometric
dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact …

We review both theoretical and experimental advances in the recently emerged field of
modulated photonic lattices. These artificial periodic dielectric structures provide a powerful …

A random walk is a stochastic process in which particles or waves travel along random
trajectories. The first application of a random walk was in the description of particle motion in …

Engineered photonic waveguides have provided in the past decade an extremely rich
laboratory tool to visualize with optical waves the classic analogues of a wide variety of …

Periodic nanostructures in photonics facilitate a far-reaching control of light propagation and
light–matter interaction. This article reviews the current status of this subject, including both …

Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet
subjected to an external force in a lattice, where a system possessing single or multiple …

We report on the experimental realization of electric quantum walks, which mimic the effect
of an electric field on a charged particle in a lattice. Starting from a textbook implementation …

We report on the first experimental observation of photonic Bloch oscillations and Zener
tunneling in two-dimensional periodic systems. We study the propagation of an optical beam …

We theoretically investigate the optical properties of parity-time (PT)-symmetric three-
dimensional metamaterials composed of strongly coupled planar plasmonic waveguides. By …

As an important electron transportation phenomenon, Bloch oscillations have been
extensively studied in condensed matter. Due to the similarity in wave properties between …