During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

Optical lattices and Feshbach resonances are two of the most ubiquitously used tools in
atomic physics, allowing for the precise control, discrete confinement, and broad tunability of …

We consider a two-dimensional (2D) two-component spinor system with cubic attraction
between the components and intra-species self-repulsion, which may be realized in atomic …

Motivated by the recent experiment on bosonic mixtures of atoms and molecules, we
investigate pairing superfluid–insulator (SI) transition for bosonic mixtures of atoms and …

We investigate properties of an ultracold, two-component bosonic gas in a square optical
lattice at unit filling. In addition to density-density interactions, the atoms are subject to …

We study the quadratic Zeeman effect (QZE) in a system of antiferromagnetic spin-1 bosons
on a square lattice and derive the ground-state phase diagrams by means of quantum …

We study the ground state and the thermal phase diagram of a two-species Bose-Hubbard
model, with U (1)× Z 2 symmetry, describing atoms and molecules on a two-dimensional …

Motivated by the physics of coherently coupled, ultracold atom-molecule mixtures, we
investigate a classical model possessing the same symmetry, namely a U (1)× Z 2 symmetry …

We study properties of the single-site reduced density matrix in the Bose-Bose resonance
model as a function of system parameters. This model describes a single-component Bose …

We investigate the chaotic dynamics of a coupled three-level atom–molecular Bose–
Einstein condensate system composed by one molecular mode and two atomic modes. With …