Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Certain lattice wave systems in translationally invariant settings have one or more spectral
bands that are strictly flat or independent of momentum in the tight binding approximation …

We demonstrate the first experimental realization of a dispersionless state, in a photonic
Lieb lattice formed by an array of optical waveguides. This engineered lattice supports three …

We present the first experimental demonstration of a new type of localized state in the
continuum, namely, compacton-like linear states in flat-band lattices. To this end, we employ …

Exceptional points (EPs), at which both eigenvalues and eigenvectors coalesce, are
ubiquitous and unique features of non-Hermitian systems. Second-order EPs are by far the …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

Geometry, whether on the atomic or nanoscale, is a key factor for the electronic band
structure of materials. Some specific geometries give rise to novel and potentially useful …

Topological materials exhibit protected edge modes that have been proposed for
applications in, for example, spintronics and quantum computation. Although a number of …

The ground state and transport properties of the Lieb lattice flat band in the presence of an
attractive Hubbard interaction are considered. It is shown that the superfluid weight can be …

Although kinetic energy of a massive particle generally has quadratic dependence on its
momentum, a flat, dispersionless energy band is realized in crystals with specific lattice …