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 …

The main theme of this review is the many-body physics of vortices in quantum droplets of
bosons or fermions in the limit of small particle numbers. Systems of interest include cold …

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 …

We studied the nucleation of vortices in a Bose-Einstein condensate stirred by a laser beam.
The vortex cores were observed using time-of-flight absorption imaging. Depending on the …

The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is
investigated. It is shown that there exist both dynamically stable and unstable configurations …

We study the quadrupole oscillation of a Bose-Einstein condensate of 87 Rb atoms confined
in an axisymmetric magnetic trap, after it has been stirred by an auxiliary laser beam. The …

We study the response of a trapped Bose-Einstein condensate to a sudden turn on of a
rotating drive by numerically solving the two-dimensional Gross-Pitaevskii equation. A …

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 …

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 …

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 …