After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

The ability to engineer parallel, programmable operations between desired qubits within a
quantum processor is key for building scalable quantum information systems,. In most state …

Simulating the properties of many-body fermionic systems is an outstanding computational
challenge relevant to material science, quantum chemistry, and particle physics.-5.4 pc] …

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

An electron gas in a one-dimensional periodic potential can be transported even in the
absence of a voltage bias if the potential is slowly and periodically modulated in time …

We give a detailed account of the one-way quantum computer, a scheme of quantum
computation that consists entirely of one-qubit measurements on a particular class of …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

The quantum walk is the quantum analog of the well-known random walk, which forms the
basis for models and applications in many realms of science. Its properties are markedly …

Starting from first principles, this book introduces the closely related phenomena of Bose
condensation and Cooper pairing, in which a very large number of single particles or pairs …