The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

We report multipronged progress on the stochastic averaging approach to numerical
analytic continuation of imaginary-time correlation functions computed by quantum Monte …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

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 …

A cluster update (the “operator loop”) is developed within the framework of a numerically
exact quantum Monte Carlo method based on the power series expansion of exp (− β …

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 …

The ground-state parameters of the two-dimensional S= 1/2 antiferromagnetic Heisenberg
model are calculated using the stochastic series expansion quantum Monte Carlo method …

We show how the worldline quantum Monte Carlo procedure, which usually relies on an
artificial time discretization, can be formulated directly in continuous time, rendering the …

A method for analytic continuation of quantum Monte Carlo data is presented. The spectrum
A (ω) is parametrized as a sum of δ functions, the weights A i of which are sampled …

The Landau paradigm of classifying phases by broken symmetries was shown to be
incomplete when it was realized that different quantum-Hall states can only be distinguished …