We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

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 …

We study the truncated Wigner method applied to a weakly interacting spinless Bose-
condensed gas which is perturbed away from thermal equilibrium by a time-dependent …

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 …

We provide a derivation of a more accurate version of the stochastic Gross–Pitaevskii
equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This …

We show how to adapt the ideas of local energy and momentum conservation in order to
derive modifications to the Gross-Pitaevskii equation which can be used …

We develop a consistent perturbation theory in quantum fluctuations around the classical
evolution of a system of interacting bosons. The zero-order approximation gives the classical …