Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

In quantum mechanical many-body systems, long-range and anisotropic interactions
promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of …

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 …

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 …

Ultracold atoms in optical lattices are ideal to study fundamentally new quantum many-body
systems, including frustrated or topological magnetic phases, and supersolids,. However …

Insights into complex phenomena in quantum matter can be gained from simulation
experiments with ultracold atoms, especially in cases where theoretical characterization is …

The realization of Bose Einstein condensates (BEC) and quantum degenerate Fermi gases
with cold atoms has been a highlight of quantum physics during the past decade. Cold …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …