The recent success in quantum annealing, ie, optimization of the cost or energy functions of
complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced …

There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

We describe an efficient Monte Carlo algorithm using a random walk in energy space to
obtain a very accurate estimate of the density of states for classical statistical models. The …

Spin glasses are disordered magnetic systems that have led to the development of
mathematical tools with an array of real-world applications, from airline scheduling to neural …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

We discuss replica symmetry breaking (RSB) in spin glasses. We update work in this area,
from both the analytical and numerical points of view. We give particular attention to the …

We report the results of Monte Carlo simulations on several spin-glass models at low
temperatures. By using the parallel tempering (exchange Monte Carlo) technique we are …

We summarize the different puzzles raised by aging experiments of spin glasses and their
various interpretations. We try to reconcile the “real space,” dropletlike pictures with the …

In this topical review we discuss the nature of the low-temperature phase in both infinite-
ranged and short-ranged spin glasses. We analyse the meaning of pure states in spin …

We present results from Monte Carlo simulations of the one-dimensional Ising spin glass
with power-law interactions at low temperature, using the parallel tempering Monte Carlo …