This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

The ongoing experimental and theoretical effort aimed at understanding nonclassical
rotational inertia in solid helium has sparked renewed interest in the supersolid phase of …

We introduce the concept of directed loops in stochastic series expansion and path-integral
quantum Monte Carlo methods. Using the detailed balance rules for directed loops, we …

In the Mott-insulator regime, two species of ultracold atoms in an optical lattice can exhibit
the low-energy counterflow motion. We construct effective Hamiltonians for the three classes …

A review of the loop algorithm, its generalizations, and its relation to some other Monte Carlo
techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs …

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 …

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

The Hubbard model constitutes one of the most celebrated theoretical frameworks of
condensed-matter physics. It describes strongly correlated phases of interacting quantum …

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

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 …