After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is
increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a …

Spin–orbit coupling is an essential mechanism underlying quantum phenomena such as the
spin Hall effect and topological insulators. It has been widely studied in well-isolated …

Weyl semimetals are three-dimensional (3D) gapless topological phases with Weyl cones in
the bulk band. According to lattice theory, Weyl cones must come in pairs, with the minimum …

We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized
by the topological properties of their nodal band structures. Implementing nonunitary time …

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 …

Based on the optical Raman lattice technique, we experimentally realize the Qi-Wu-Zhang
model for the quantum anomalous Hall phase in ultracold fermions with two-dimensional …

The critical phases, being delocalized but nonergodic, are fundamental phases different
from both the many-body localization and ergodic extended quantum phases, and have so …

Quantum simulation, as a state-of-the-art technique, provides a powerful way to explore
topological quantum phases beyond natural limits. Nevertheless, it is usually hard to …

Higher-order topological phase transitions (HOTPTs) are associated with closing either the
bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and …