This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

We consider a minimal model to describe the quantum phases of ultracold dipolar bosons in
two-dimensional square optical lattices. The model is a variation of the extended Bose …

We numerically investigate the properties of the quasihole excitations above the bosonic
fractional Chern insulator state at filling ν= 1/2, in the specific case of the Harper-Hofstadter …

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 study the quantum ground state of ultracold bosons in a two-dimensional square lattice.
The bosons interact via the repulsive dipolar interactions and s-wave scattering. The …

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 investigate the quantum phase transitions of a two-dimensional Bose-Hubbard model in
the presence of a Rashba spin-orbit coupling with and without thermal fluctuations. The …

In this work we describe a technique for numerical exact diagonalization. The method is
particularly suitable for cold bosonic atoms in optical lattices, in which multiple atoms can …