There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

In recent years, notions drawn from non-Hermitian physics and parity–time (PT) symmetry
have attracted considerable attention. In particular, the realization that the interplay between …

Originating from the studies of two-dimensional condensed-matter states, the concept of
topological order has recently been expanded to other fields of physics and engineering …

The concept of synthetic dimensions has generated interest in many branches of science,
ranging from ultracold atomic physics to photonics, as it provides a versatile platform for …

Advanced photonic nanostructures are currently revolutionizing the optics and photonics
that underpin applications ranging from light technology to quantum-information processing …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

In this review we discuss the works in the area of quantum simulation and many-body
physics with light, from the early proposals on equilibrium models to the more recent works …

Optical cavity QED provides a platform with which to explore quantum many-body physics in
driven-dissipative systems. Single-mode cavities provide strong, infinite-range photon …

As the dimensions of a material shrink from an extended bulk solid to a nanoscale structure,
size and quantum confinement effects become dominant, altering the properties of the …