The technique of stimulated Raman adiabatic passage (STIRAP), which allows efficient and
selective population transfer between quantum states without suffering loss due to …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

These lecture notes provide an introduction to some of the main concepts of topological
insulators, a branch of solid state physics that is developing at a fast pace. They are based …

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …

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 …

Thouless pumping enables topological transport and the direct measurement of topological
invariants. So far, realizations of Thouless pumping rely on the adiabatic evolution of a …

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 …

Spatial symmetries in crystals may be distinguished by whether they preserve the spatial
origin. Here we study spatial symmetries that translate the origin by a fraction of the lattice …

Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

The intense theoretical and experimental interest in topological insulators and semimetals
has established band structure topology as a fundamental material property. Consequently …