In recent years, there has been considerable interest in the study of wave propagation in
nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led …

In this article we develop a continuous variable (CV) shadow tomography scheme with wide
ranging applications in quantum optics. Our work is motivated by the increasing …

The goal of this paper is to advance the development of wave-guiding subwavelength
crystals by developing designs whose properties are stable with respect to imperfections in …

When electrons are confined to a two-dimensional plane and are subjected to an out-of-
plane magnetic field, they move in circular cyclotron orbits as a result of the Lorentz force. In …

We study energy propagation along line-defects (edges) in two dimensional continuous,
energy preserving periodic media. The unperturbed medium (bulk) is modeled by a …

This work presents a rigorous theory for topological photonic materials in one dimension.
The main focus is on the existence of interface modes that are induced by topological …

The bulk-edge correspondence predicts that interfaces between topological insulators
support robust currents. We prove this principle for PDEs that are periodic away from an …

This paper presents a fast algorithm for computing transport properties of two-dimensional
Dirac operators with linear domain walls, which model the macroscopic behavior of the …

We study bulk/edge aspects of continuous honeycomb lattices in a magnetic field. We
compute the bulk index of Bloch eigenbundles: it equals 2 or–2, with sign depending on …

The ability to manipulate the propagation of waves on subwavelength scales is important for
many different physical applications. In this paper, we consider a honeycomb-lattice of …