[图书][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

Observation of vortex dipoles in an oblate Bose-Einstein condensate

TW Neely, EC Samson, AS Bradley, MJ Davis… - Physical review …, 2010 - APS
We report experimental observations and numerical simulations of the formation, dynamics,
and lifetimes of single and multiply charged quantized vortex dipoles in highly oblate dilute …

Bose-Einstein condensation: Twenty years after

VS Bagnato, DJ Frantzeskakis, PG Kevrekidis… - arXiv preprint arXiv …, 2015 - arxiv.org
The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …

Real-time dynamics of single vortex lines and vortex dipoles in a Bose-Einstein condensate

DV Freilich, DM Bianchi, AM Kaufman, TK Langin… - Science, 2010 - science.org
Understanding the behavior of quantized vortices is essential to gaining insight into diverse
superfluid phenomena, from critical-current densities in superconductors to quantum …

[PDF][PDF] Multidimensional localized structures in optics and Bose-Einstein condensates: A selection of recent studies

D Mihalache - Rom. J. Phys, 2014 - rjp.nipne.ro
During the past decade there has been an increased interest in the study of localized
structures in optics and in the area of matter waves [atomic Bose-Einstein condensates …

Dynamics of a few corotating vortices in Bose-Einstein condensates

R Navarro, R Carretero-González, PJ Torres… - Physical review …, 2013 - APS
We study the dynamics of small vortex clusters with a few (2–4) corotating vortices in Bose-
Einstein condensates by means of experiments, numerical computations, and theoretical …

Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates

S Middelkamp, PJ Torres, PG Kevrekidis… - Physical Review A …, 2011 - APS
A quantized vortex dipole is the simplest vortex molecule, comprising two countercirculating
vortex lines in a superfluid. Although vortex dipoles are endemic in two-dimensional …

Dynamics of vortex dipoles in confined Bose–Einstein condensates

PJ Torres, PG Kevrekidis, DJ Frantzeskakis… - Physics Letters A, 2011 - Elsevier
We present a systematic theoretical analysis of the motion of a pair of straight counter-
rotating vortex lines within a trapped Bose–Einstein condensate. We introduce the …

Bifurcations, stability, and dynamics of multiple matter-wave vortex states

S Middelkamp, PG Kevrekidis, DJ Frantzeskakis… - Physical Review A …, 2010 - APS
In the present work, we offer a unifying perspective between the dark soliton stripe and the
vortex multipole (dipole, tripole, aligned quadrupole, quintopole, etc.) states that emerge in …

Computing stationary solutions of the two-dimensional Gross–Pitaevskii equation with deflated continuation

EG Charalampidis, PG Kevrekidis, PE Farrell - … in Nonlinear Science and …, 2018 - Elsevier
In this work we employ a recently proposed bifurcation analysis technique, the deflated
continuation algorithm, to compute steady-state solitary waveforms in a one-component, two …