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

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 …

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 …

We study the ground-state properties and nonequilibrium dynamics of hard-core bosons
confined in one-dimensional lattices in the presence of an additional periodic potential …

We compute the phase diagram of the one-dimensional Bose-Hubbard model with a
quasiperiodic potential by means of the density-matrix renormalization group technique …

We analyze interacting ultracold bosonic atoms in a one-dimensional superlattice potential
with alternating tunneling rates t 1 and t 2 and inversion symmetry, which is the bosonic …

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of
correct self-consistent description of arbitrary systems with Bose-Einstein condensate are …

We investigate numerically the zero-temperature physics of the one-dimensional Bose-
Hubbard model in an incommensurate cosine potential, recently realized in experiments …

We study the quantum phase transition between the insulating and the globally coherent
superfluid phases in the Bose-Hubbard model with T 3 structure, the “dice lattice.” Even in …

We study the transitions from band insulator to metal to Mott insulator in the ionic Hubbard
model on a two-dimensional square lattice using determinant quantum Monte Carlo …