The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

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 show that one-dimensional quasiperiodic optical lattice systems can exhibit edge states
and topological phases which are generally believed to appear in two-dimensional systems …

The emergence of a compressible insulator phase, known as the Bose glass, is
characteristic of the interplay of interactions and disorder in correlated Bose fluids. While …

We employ ultracold atoms with controllable disorder and interaction to study the
paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining …

We determine the quantum ground-state properties of ultracold bosonic atoms interacting
with the mode of a high-finesse resonator. The atoms are confined by an external optical …

We study the single-particle properties of two-dimensional quasicrystals where the
underlying geometry of the tight-binding lattice is crystalline but the on-site potential is …

Much has been learned regarding dynamical quantum phase transition (DQPT) due to
sudden quenches across quantum critical points in traditional quantum systems. However …

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and
quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity …

We investigate the quench dynamics of a one-dimensional incommensurate lattice
described by the Aubry-André model by a sudden change of the strength of incommensurate …