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 recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

The first book dedicated to this new and powerful computational method begins with a
comprehensive description of MCTDH and its theoretical background. There then follows a …

We produce Bose-Einstein condensates of two different species, Rb 87 and K 41, in an
optical dipole trap in proximity of interspecies Feshbach resonances. We discover and …

The evolution of Bose-Einstein condensates is amply described by the time-dependent
Gross-Pitaevskii mean-field theory which assumes all bosons to reside in a single time …

Interactions lie at the heart of correlated many-body quantum phases,,. Typically, the
interactions between microscopic particles are described as two-body interactions …

We study the ground-state properties of the interacting spinless fermions in the px, y-orbital
bands in the two-dimensional honeycomb optical lattice, which exhibit different features from …

Investigations of emergent symmetry breaking phenomena occurring in small finite-size
systems are reviewed, with a focus on the strongly correlated regime of electrons in two …