Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

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 …

The Haldane model on a honeycomb lattice is a paradigmatic example of a Hamiltonian
featuring topologically distinct phases of matter. It describes a mechanism through which a …

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 …

This article reviews recent theoretical and experimental advances in the fundamental
understanding and active control of quantum fluids of light in nonlinear optical systems. In …

Topological features—global properties not discernible locally—emerge in systems ranging
from liquid crystals to magnets to fractional quantum Hall systems. A deeper understanding …

We demonstrate the experimental implementation of an optical lattice that allows for the
generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms …

Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

Abstract In 1984, Bychkov and Rashba introduced a simple form of spin–orbit coupling to
explain the peculiarities of electron spin resonance in two-dimensional semiconductors …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …