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 …

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 …

While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …

We present the first experimental observation of a topological transition in a non-Hermitian
system. In contrast to standard methods for examining topological properties, which involve …

Driving a quantum system periodically in time can profoundly alter its long-time dynamics
and trigger topological order. Such schemes are particularly promising for generating …

Sixty years ago, Karplus and Luttinger pointed out that quantum particles moving on a lattice
could acquire an anomalous transverse velocity in response to a force, providing an …

Geometric phases that characterize the topological properties of Bloch bands play a
fundamental role in the band theory of solids. Here we report on the measurement of the …

We present a pedagogical review of the physics of fractional Chern insulators with a
particular focus on the connection to the fractional quantum Hall effect. While the latter …

Topological nodal line semimetals are characterized by the crossing of the conduction and
valence bands along one or more closed loops in the Brillouin zone. Usually, these loops …

The geometric structure of a single-particle energy band in a solid is fundamental for a wide
range of many-body phenomena and is uniquely characterized by the distribution of Berry …