This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

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 theoretically address magnetic ordering at zero and finite temperature in both
homogeneous and trapped Bose-Bose mixtures in optical lattices. By using bosonic …

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of
spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the …

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by
means of quantum Monte Carlo simulations. In addition to the usual contact repulsive …

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by
means of quantum Monte Carlo simulations and focus on finite temperature effects. We …

Spin-selective insulators emerge in systems composed of fermions with two internal degrees
of freedom and another carrier, which could be fermionic or bosonic. These insulators are …

The interplay of the staggered and the three‐body interaction potentials on the quantum
phases of a spin‐1 Bose Hubbard model using a mean field approximation (MFA) is studied …

A spinor () Bose gas is studied in presence of a density‐density interaction through a mean
field approach and a perturbation theory for either sign of the spin dependent interaction …

The two-dimensional square lattice hard-core boson Hubbard model with near-neighbor
interactions has a “checkerboard” charge density wave insulating phase at half filling and …