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 examine the zero-and finite-temperature phase diagrams of soft-core bosons of the
extended Bose-Hubbard model on a square optical lattice. To study various quantum …

The extended Bose-Hubbard model with correlated tunneling exhibits staggered superfluid
and supersolid quantum phases. We study finite-temperature phase transitions of quantum …

We identify the quantum phases in a binary mixture of dipolar bosons in two-dimensional
optical lattices. Our study is motivated by the recent experimental realization of binary …

We consider a minimal model to investigate the quantum phases of hardcore, polarized
dipolar atoms confined in multilayer optical lattices. The model is a variant of the extended …

We study a model of interacting bosons that occupy the first excited p-band states of a two-
dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard …

We investigate the ground-state phases and phase transitions of extended Bose–Hubbard
ladder by using the dynamical cluster-Gutzwiller mean-field (CGMF) approach. Unlike the …

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 …

We study, using quantum Monte Carlo simulations, the bosonic Kondo-Hubbard model in a
two-dimensional square lattice. We explore the phase diagram and analyze the mobility of …

Ultracold atoms in optical lattices have opened new perspectives in several modern fields of
physics, such as many-body and condensed matter physics. They offer the possibilities to …