We study a system with competing short-and global-range interactions in the framework of
the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram …

Bosons in periodic potentials with very strong local interactions, known as constrained
bosons, often exhibit interesting physical behavior. We investigate the ground-state …

We investigate the mean-field phase diagram of the Bose-Hubbard model with infinite-range
interactions in two dimensions. This model describes ultracold bosonic atoms confined by a …

Engineering long-range interacting spin systems with ultracold atoms offers the possibility to
explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum …

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 …

The Mott-insulator–superfluid transition for ultracold bosonic atoms in an optical lattice has
been extensively studied in the framework of the Bose-Hubbard model with two-body on-site …

We study the ground-state properties of the extended Bose-Hubbard model in a one-
dimensional dimerized optical lattice. In the limit of strong on-site repulsion, ie, hardcore …

In this paper, we consider a two-component atomic Bose lattice gas inside an optical cavity
to explore a competition between the short-range collisional and cavity-mediated long-range …

We study a system of hard-core bosons at half-filling in a one-dimensional optical
superlattice. The bosons are allowed to hop to nearest-and next-nearest-neighbor sites. We …

We investigate interacting bosons in a two-leg lattice, which is subject to an uniform artificial
magnetic field. Its Hamiltonian takes into account the next nearest neighbor kinetic tunneling …