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 …

Anyons are particles with fractional statistics that exhibit a nontrivial change in the wave
function under an exchange of particles. Anyons can be considered to be a general category …

We exploit a ferromagnetic chain of interacting d-level (d> 2) particles for arbitrary perfect
transfer of quantum states with (d− 1) levels. The presence of one extra degree of freedom in …

We study the physics of interacting spin-1 bosons in an optical lattice using a variational
Gutzwiller technique. We compute the mean-field ground state wave function and discuss …

We study the Mott phase of three-component bosons, with one particle per site, in an optical
lattice by map** it onto an SU (3) spin model. In the simplest case of full SU (3) symmetry …

We investigate the structure of the spectrum of antiferromagnetically coupled spin-1 bosons
on a square lattice using degenerate perturbation theory and exact diagonalizations of finite …

Cluster mean field theory for the two-dimensional spin-1 Bose–Hubbard model is applied to
study superfluid (SF) to Mott insulator (MI) phase transitions and various magnetic phases …

In this work, we investigate the solutions of the two-dimensional Duffin–Kemmer–Petiau
oscillator for spin-one particles under a minimal length assumption. To incorporate the …

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons
in a two-dimensional optical lattice, focusing on the spin-1 spin-orbit-coupled system …

We study collective modes and superfluidity of spin-1 bosons with antiferromagnetic
interactions in an optical lattice based on the time-dependent Ginzburg-Landau (TDGL) …