This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

This article describes the variational and fixed-node diffusion quantum Monte Carlo methods
and how they may be used to calculate the properties of many-electron systems. These …

The electronic Schrödinger equation can only be solved analytically for the hydrogen atom,
and the numerically exact full configuration-interaction method is exponentially expensive in …

The physics of quantum degenerate atomic Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is …

The Equilibrium Theory of Inhomogeneous Polymers provides an introduction to the field-
theoretic methods and computer simulation techniques that are used in the design of …

Quantum Monte Carlo methods have proved valuable to study the structure and reactions of
light nuclei and nucleonic matter starting from realistic nuclear interactions and currents …

Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural
sciences. Today, AI has started to advance natural sciences by improving, accelerating, and …

Over the past several decades, computational approaches to studying strongly-interacting
systems have become increasingly varied and sophisticated. This book provides a …

We develop a machine learning method to construct accurate ground-state wave functions
of strongly interacting and entangled quantum spin as well as fermionic models on lattices. A …

We review adaptive Markov chain Monte Carlo algorithms (MCMC) as a mean to optimise
their performance. Using simple toy examples we review their theoretical underpinnings …