After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare
theoretical predictions with existing experiments. Mean-field theory based on the time …

Quantized vortices play a key role in superfluidity and superconductivity. We have observed
the formation of highly ordered vortex lattices in a rotating Bose-condensed gas. These …

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 …

We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein
condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find …

We have observed and characterized the dynamics of singly quantized vortices in dilute-gas
Bose-Einstein condensates. Our condensates are produced in a superposition of two …

We find two types of moving dark soliton textures in elongated condensates: nonstationary
kinks and proper dark solitons. The latter have a flat notch region and we obtain the diagram …

Reconnections and interactions of filamentary coherent structures play a fundamental role in
the dynamics of fluids, redistributing energy and helicity among the length scales and …

Dark soliton states of Bose-Einstein condensates in harmonic traps are studied both
analytically and computationally by the direct solution of the Gross-Pitaevskii equation in …

Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and
the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum …