Josephson-junction arrays are ideal model systems to study a variety of phenomena such as
phase transitions, frustration effects, vortex dynamics and chaos. In this review, we focus on …

Antiferromagnetism and superconductivity are both fundamental and common states of
matter. In many strongly correlated systems, including the high-T c cuprates, the heavy …

Insights into complex phenomena in quantum matter can be gained from simulation
experiments with ultracold atoms, especially in cases where theoretical characterization is …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be
described by a Bose-Hubbard model where the system parameters are controlled by laser …

We determine the phase diagram of hard-core bosons on a triangular lattice with nearest-
neighbor repulsion, paying special attention to the stability of the supersolid phase. Similar …

In the absence of a confining potential, the boson-Hubbard model exhibits a superfluid to
Mott insulator quantum phase transition at commensurate fillings and strong coupling. We …

We study quantum phase transitions in the ground state of the two dimensional hard-core
boson Hubbard Hamiltonian. Recent work on this and related models has suggested …

We study the interplay of Mott localization, geometric frustration, and superfluidity for hard-
core bosons with nearest-neighbor repulsion on the triangular lattice. For this model at half …

We study the nature of the ground state of the two-dimensional extended boson Hubbard
model on a square lattice by quantum Monte Carlo methods. We demonstrate that strong but …