Recent experimental and theoretical advances in the creation and description of bright
matter wave solitons are reviewed. Several aspects are taken into account, including the …

This review discusses progress in the new field of coherent matter waves, particularly with
respect to Bose–Einstein condensates. We give a short introduction to Bose–Einstein …

Adding energy to a system through transient stirring usually leads to more disorder. In
contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder …

Atomtronics, is an emerging interdisciplinary field that seeks to develop new functional
methods by creating devices and circuits where ultracold atoms, often superfluids, have a …

We review phase-space techniques based on the Wigner representation that provide an
approximate description of dilute ultra-cold Bose gases. In this approach the quantum field …

The coupling of two macroscopic quantum states through a tunnel barrier gives rise to
Josephson phenomena such as Rabi oscillations, the ac and dc effects, or macroscopic self …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

The discovery of Bose–Einstein condensation (BEC) in trapped ultracold atomic gases in
1995 has led to an explosion of theoretical and experimental research on the properties of …

The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …