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

I describe the time-dependent superfluid local density approximation, which is an adiabatic
extension of the density functional theory to superfluid Fermi systems and their real-time …

There is growing physical and mathematical interest in the hydrodynamics of
dissipationless/dispersive media. Since GB Whitham's seminal publication fifty years ago …

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 …

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 …

A Bose-Einstein condensate (BEC) is a quantum fluid that gives rise to interesting shock-
wave nonlinear dynamics. Experiments depict a BEC that exhibits behavior similar to that of …

Dispersive shock waves are fascinating phenomena occurring when nonlinearity
overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves …

The processes of merging and splitting dilute-gas Bose-Einstein condensates are studied in
the nonadiabatic, high-density regime. Rich dynamics are found. Depending on the …

GPELab is a free Matlab toolbox for modeling and numerically solving large classes of
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …