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In a recent experiment, Kwon et. al (arXiv:1403.4658 [cond-mat.quant-gas]) generated a disordered state of quantum vortices by translating an oblate Bose-Einstein condensate past a laser-induced obstacle and studying the subsequent decay of…

Quantum Gases · Physics 2015-01-14 G. W. Stagg , A. J. Allen , N. G. Parker , C. F. Barenghi

The appearance of quantised vortices in the classical ``rotating bucket'' experiments of liquid helium and ultracold dilute gases provides the means for fundamental and comparative studies of different superfluids. Here, we realize the…

We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and…

Condensed Matter · Physics 2009-11-07 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

We consider a large condensate in a rotating anisotropic harmonic trap. Using the method of matched asymptotic expansions, we derive the velocity of an element of vortex line as a function of the local gradient of the trap potential, the…

Statistical Mechanics · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We investigate the thermodynamic stability of quantized vortices in a dilute Bose gas confined by a rotating harmonic trap at finite temperature. Interatomic forces play a crucial role in characterizing the resulting phase diagram,…

Condensed Matter · Physics 2009-10-31 S. Stringari

We study vortex-vortex and vortex-wave collisions in two-dimensional weakly interacting Bose-Einstein condensates, processes that play a central role in decaying quantum turbulence. Using numerical simulations of the Gross-Pitaevskii…

Quantum Gases · Physics 2025-10-03 Vebjørn Øvereng , Andrew Baggaley , Luiza Angheluta

We present a classical field simulation study of the thermal melting of a two-dimensional vortex lattice in a rotating Bose gas, focusing on the role of finite-size effects on the melting temperature. This work constitutes a numerical…

We consider a rotating Bose-Einstein condensate confined in combined harmonic and quartic traps, following recent experiments [V. Bretin, S. Stock, Y. Seurin and J. Dalibard, cond-mat/0307464]. We investigate numerically the behavior of the…

Superconductivity · Physics 2009-11-10 Amandine Aftalion , Ionut Danaila

We study the splitting dynamics of giant vortices in dilute Bose-Einstein condensates by numerically integrating the three-dimensional Gross-Pitaevskii equation in time. By taking advantage of tetrahedral tiling in the spatial…

Quantum Gases · Physics 2018-08-29 Jukka Räbinä , Pekko Kuopanportti , Markus Kivioja , Mikko Möttönen , Tuomo Rossi

The expansion of Bose-Einstein condensates with quantized vortices is studied by solving numerically the time-dependent Gross-Pitaevskii equation at zero temperature. For a condensate initially trapped in a spherical harmonic potential, we…

Condensed Matter · Physics 2009-10-31 Franco Dalfovo , Michele Modugno

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

It is shown that a vortex can be continuously created in a Bose-Einstein condensate with hyperfine spin F=2 in a Ioffe-Pritchard trap by reversing the axial magnetic field adiabatically. It may be speculated that the condensate cannot be…

Statistical Mechanics · Physics 2007-05-23 Mikko Mottonen , Naoki Matsumoto , Mikio Nakahara , Tetsuo Ohmi

We calculate the critical rotation frequency at which a vortex state becomes energetically favorable over the vortex-free ground state in a harmonically trapped Bose-Einstein condensate whose atoms have dipole-dipole interactions as well as…

Other Condensed Matter · Physics 2007-05-23 Duncan H. J. O'Dell , Claudia Eberlein

It is shown that diffraction of Bose-Einstein condensates on a helical light grating results in vortices in the condensate. Helical light gratings can be produced by light interference of a Gaussian laser beam with a helical one.…

Soft Condensed Matter · Physics 2007-05-23 Kestutis Staliunas

We numerically model decaying quantum turbulence in two-dimensional disk-shaped Bose-Einstein condensates, and investigate the effects of finite temperature on the turbulent dynamics. We prepare initial states with a range of condensate…

Quantum Gases · Physics 2020-03-18 Andrew J. Groszek , Matthew J. Davis , Tapio P. Simula

In strongly nonequilibrium Bose-Einstein condensates described by the generalized Gross-Pitaevskii equation, vortex motion becomes self-accelerated while the long-range vortex-antivortex interaction appears to be repulsive. We numerically…

Quantum Gases · Physics 2020-01-08 Vladimir Gladilin , Michiel Wouters

We present a simple mechanism to produce vortices at any desired spatial locations in harmonically trapped Bose-Einstein condensates (BEC) with multicomponent spin states coupled to external transverse and axial magnetic fields. The…

We review the topic of quantized vortices in multicomponent Bose-Einstein condensates of dilute atomic gases, with an emphasis on that in two-component condensates. First, we review the fundamental structure, stability and dynamics of a…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

We investigate wave-vortex interaction emerging from an expanding compact vortex cluster in a two-dimensional Bose-Einstein condensate. We adapt techniques developed for compact gravitational objects to derive the characteristic modes of…

General Relativity and Quantum Cosmology · Physics 2022-07-07 August Geelmuyden , Sebastian Erne , Sam Patrick , Carlo Barenghi , Silke Weinfurtner

The vortex phase diagram in the external rotation frequency versus temperature is calculated for dilute Bose-Einstein condensed gases. It is determined within the Bogoliubov-Popov theory for a finite temperature where the condensate and…

Soft Condensed Matter · Physics 2009-11-07 Takeshi Mizushima , Tomoya Isoshima , Kazushige Machida