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 …

Abstract The Su–Schrieffer–Heeger (SSH) model, which captures the most striking transport
properties of the conductive organic polymer trans-polyacetylene, provides perhaps the …

A Majorana zero bound mode exists in the vortex core of a chiral p+ ip superconductor or
superfluid, which can be driven from an s-wave pairing state by two-dimensional spin-orbit …

Topological phase of matter is now a mainstream of research in condensed matter physics,
of which the classification, synthesis, and detection of topological states have brought …

Symmetry plays a fundamental role in understanding complex quantum matter, particularly
in classifying topological quantum phases, which have attracted great interests in the recent …

Recent experimental breakthroughs in non-Hermitian ultracold atomic lattices have dangled
tantalizing prospects in realizing exotic, hitherto unreported, many-body non-Hermitian …

The concept of non-Hermiticity has expanded the understanding of band topology, leading
to the emergence of counter-intuitive phenomena. An example is the non-Hermitian skin …

Conventionally a mobility edge (ME) marks a critical energy that separates two different
transport zones where all states are extended and localized, respectively. Here we propose …

We report the experimental realization of a Creutz ladder for ultracold fermionic atoms in a
resonantly driven 1D optical lattice. The two-leg ladder consists of the two lowest orbital …