Since the discovery of topological insulators, many topological phases have been predicted
and realized in a range of different systems, providing both fascinating physics and exciting …

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 …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

We describe a simple technique for generating a cold-atom lattice pierced by a uniform
magnetic field. Our method is to extend a one-dimensional optical lattice into the …

When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

We report the theoretical discovery of a class of 2D tight-binding models containing nearly
flatbands with nonzero Chern numbers. In contrast with previous studies, where nonlocal …

Motivated by the topologically insulating circuit of capacitors and inductors proposed and
tested by Jia et al.[arXiv: 1309.0878], we present a related circuit with fewer elements per …

We show that one-dimensional quasiperiodic optical lattice systems can exhibit edge states
and topological phases which are generally believed to appear in two-dimensional systems …

Recent proposals of topological flat band models have provided a new route to realize the
fractional quantum Hall effect without Landau levels. We study hard-core bosons with short …