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 …

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 …

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 …

This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

We demonstrate how to explore phase diagrams with automated and unsupervised machine
learning to find regions of interest for possible new phases. In contrast to supervised …

For nearly half a century the supersolid phase of matter has remained mysterious, not only
eluding experimental observation, but also generating a great deal of controversy among …

We study the extended Bose-Hubbard model describing an ultracold gas of dipolar
molecules in an optical lattice, taking into account all on-site and nearest-neighbor …

The effect of many-body interaction in curved space is studied based on the extended Bose–
Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum …

We study the realization of lattice models, where cold atoms and molecules move as extra
particles in a dipolar crystal of trapped polar molecules. The crystal is a self-assembled …

We study a mixture of strongly interacting bosons and spinless fermions with on-site
repulsion in a three-dimensional optical lattice. For this purpose we develop and apply a …