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 …

The main properties and methods of describing dipolar and spinor atomic systems,
composed of bosonic atoms or molecules, are reviewed. The general approach for the …

We study the dynamics of spin-1 atoms in a periodic optical-lattice potential and an external
magnetic field in a quantum quench scenario where we start from a superfluid ground state …

Recent progress in experiments on trapped ultracold atoms has made it possible to study
the interplay between magnetism and superfluid-insulator transitions in the boson Hubbard …

We study the first-order quantum phase transitions of Bose gases in optical lattices. A
special emphasis is placed on an anomalous hysteresis behavior, in which the phase …

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 obtain the complete quantum phase diagram of bosons on a two-leg ladder in the
presence of attractive onsite and repulsive interchain nearest-neighbor interactions by …

We observe evidence of first-order superfluid-to-Mott-insulator quantum phase transitions in
a lattice-confined antiferromagnetic spinor Bose-Einstein condensate. The observed …

We analyze the various phases exhibited by a system of ultracold bosons in a periodic
optical superlattice using the mean-field decoupling approximation. We investigate for a …