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 …

Monte Carlo techniques have played an important role in understanding strongly correlated
systems across many areas of physics, covering a wide range of energy and length scales …

Here we provide an overview of the status of the field of solid 4 He with a focus on the recent
theoretical and experimental activities stimulated by the 2004 experiments of Kim and Chan …

We investigate the superfluid-insulator transition of one-dimensional interacting bosons in
both deep and shallow periodic potentials. We compare a theoretical analysis based on …

We study the dynamics of bosonic atoms in a tilted one-dimensional optical lattice and report
on the first direct observation of density-induced tunneling. We show that the interaction …

One-dimensional Bose gas with contact interaction in optical lattices at zero temperature is
investigated by means of the exact diffusion Monte Carlo algorithm. The results obtained …

Using continuous-space quantum Monte Carlo methods, we investigate the zero-
temperature ferromagnetic behavior of a two-component repulsive Fermi gas under the …

The extended Bose-Hubbard model with correlated tunneling exhibits staggered superfluid
and supersolid quantum phases. We study finite-temperature phase transitions of quantum …

The extended effective multiorbital Bose–Hubbard-type Hamiltonian which takes into
account higher Bloch bands is discussed for boson systems in optical lattices, with emphasis …

We show that off-site processes and multiorbital physics have a crucial impact on the phase
diagram of quantum gas mixtures in optical lattices. In particular, we discuss Bose-Fermi …