Featuring detailed explanations of the major algorithms used in quantum Monte Carlo
simulations, this is the first textbook of its kind to provide a pedagogical overview of the field …

Various types ordering processes in systems with large fluctuation are overviewed.
Generally, the so-called order–disorder phase transition takes place in competition between …

A hidden order that emerges in the frustrated pyrochlore Tb 2+ x Ti 2-x O 7+ y with T c= 0.53
K is studied using specific heat, magnetization, and neutron scattering experiments on a …

A strong-coupling expansion for the Green's functions, self-energies, and correlation
functions of the Bose-Hubbard model is developed. We illustrate the general formalism …

We investigate the ground-state phase diagram of the soft-core Bose-Hubbard model with
the nearest-neighbor repulsion on a square lattice by using an unbiased quantum Monte …

Recent studies have suggested a new phase in the extended Bose-Hubbard model in one
dimension at integer filling. In this work, we show that this new phase is phase-separated …

We use a generalized spin-wave approach and large-scale quantum Monte Carlo (QMC)
simulations to study the quantum phase diagram and quasiparticle excitations of the S= 1 …

The dynamics of the collective excitations of a lattice Bose gas at zero temperature is
systematically investigated using the time-dependent Gutzwiller mean-field approach. The …

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic
confinement and temperature for bosons in a two-dimensional (2D) optical lattice. The scale …

We develop a quantum many-body theory of the Bose-Hubbard model based on the
canonical quantization of the action derived from a Gutzwiller mean-field ansatz. Our theory …