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 …

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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 …

Abstract Experiments with Bose–Einstein condensates of dilute atomic gases require
temperatures as low as hundreds of nanokelvins but obviously cannot be performed at zero …

We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially
condensed homogeneous Bose gas, and find that this equation will evolve randomized …

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 …

Large scale numerical simulations of the Gross-Pitaevskii equation are used to elucidate the
self-evolution of a Bose gas from a strongly nonequilibrium initial state. The stages of the …

We show that a “weak” elliptical deformation of an atomic Bose-Einstein condensate rotating
at close to the quadrupole instability frequency leads to turbulence with a Kolmogorov …

We extend the projected Gross-Pitaevskii equation formalism of Davis [Phys. Rev. Lett. 87,
160402 (2001)] to the experimentally relevant case of thermal Bose gases in harmonic …