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 …

The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

An exactly-solvable model for the decay of a metastable state coupled to a semi-infinite, tight-
binding lattice, showing large deviations from exponential decay in the strong coupling …

The interplay between disorder and interactions is a leit-motiv of condensed-matter physics,
since it constitutes the driving mechanism of the metal–insulatormetal–insulator transition …

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of
strong interactions. The system is described by a non-standard Bose–Hubbard model with …

Bosons in a periodic lattice with on-site disorder at low but nonzero temperatures are
considered within a mean-field theory. The criteria used for the definition of the superfluid …

We address the phase diagram of the disordered Bose-Hubbard model that has been
realized in several recent experiments in terms of optically trapped ultracold bosons. We …

The random-dimer model is probably the most popular model for a one-dimensional
disordered system where correlations are responsible for delocalization of the wave …

We investigate cold bosonic impurity atoms trapped in a vortex lattice formed by condensed
bosons of another species. We describe the dynamics of the impurities by a bosonic …

Quantum phases of ultracold bosons with repulsive interactions in lattices in the presence of
quenched disorder are investigated. The disorder is assumed to be caused by the …