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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 internal states of 87Rb, with one state supporting a vortex and the…

Soft Condensed Matter · Physics 2009-10-31 B. P. Anderson , P. C. Haljan , C. E. Wieman , E. A. Cornell

Based on a velocity formula derived by matched asymptotic expansion, we investigate the dynamics of a circular vortex ring in an axisymmetric Bose-Einstein condensate in the Thomas-Fermi limit. The trajectory for an axisymmetrically placed…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. -L. Horng , S. -C. Gou , T. -C. Lin

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates…

Statistical Mechanics · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

We study the dynamics of vortex nucleation and lattice formation in a Bose--Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross--Pitaevskii equation. Different dynamical regimes of vortex…

Quantum Gases · Physics 2011-11-23 Akira Kato , Yuki Nakano , Kenichi Kasamatsu , Tetsuo Matsui

We consider a 2D rotating Bose gas described by the Gross-Pitaevskii (GP) theory and investigate the properties of the ground state of the theory for rotational speeds close to the critical speed for vortex nucleation. While one could…

Mathematical Physics · Physics 2013-06-26 Michele Correggi , Nicolas Rougerie

We consider a 3D dilute Bose-Einstein condensate at thermal equilibrium in a rotating harmonic trap. The condensate wavefunction is a local minimum of the Gross-Pitaevskii energy functional and we determine it numerically with the very…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michele Modugno , Ludovic Pricoupenko , Yvan Castin

We derive a general and exact equation of motion for a quantised vortex in an inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the velocity of a vortex as a sum of local ambient density and phase gradients in…

Quantum Gases · Physics 2018-03-06 Andrew J. Groszek , David M. Paganin , Kristian Helmerson , Tapio P. Simula

We compute structures of vortex configurations in a harmonically trapped Bose-Einstein condensed atom gas within three different gapless self-consistent mean-field theories. Outside the vortex core region, the density profiles for the…

Soft Condensed Matter · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa

We study the creation of vortex states in a trapped Bose-Einstein condensate by a rotating force. For a harmonic trapping potential the rotating force induces only a circular motion of the whole condensate around the trap center which does…

Statistical Mechanics · Physics 2009-10-30 Karl-Peter Marzlin , Weiping Zhang

Motivated by the recent experiment at ENS [ V. Bretin, S. Stock, Y. Seurin and, J. Dalibard, Phys. Rev. Lett. {\bf 92}, 050403 (2004)], we study a rotating (non-)interacting atomic Bose-Einstein condensate confined in a…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We propose a method for generating and controlling a spatially separated vortex--antivortex pair in a Bose-Einstein condensate trapped in a toroidal potential. Our simulations of the time dependent Gross-Pitaevskii equation show that in…

Condensed Matter · Physics 2009-10-31 J. -P. Martikainen , K. -A. Suominen , L. Santos , T. Schulte , A. Sanpera

A relaxation method is employed to study a rotating dense Bose-Einstein condensate beyond Thomas-Fermi approximation. We use a slave-boson model to describe the strongly interacting condensate and derive a generalized non-linear…

Other Condensed Matter · Physics 2008-08-07 V. P. Barros , Ch. Moseley , A. Gammal , K. Ziegler

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The study is a three-dimensional simulation of the Gross-Pitaevskii equation with a phenomenological dissipation term. The…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Masahiko Machida , Narimasa Sasa , Makoto Tsubota

We study controlled methods of preparing vortex configurations in atomic Bose-Einstein condensates and their use in the studies of fundamental vortex scattering, reconnection processes and superfluid sound emission. We explore techniques of…

Other Condensed Matter · Physics 2009-11-11 J. Ruostekoski , Z. Dutton

The theory of vortex motion in a dilute superfluid of inhomogeneous density demands a boundary layer approach, in which different approximation schemes are employed close to and far from the vortex, and their results matched smoothly…

Soft Condensed Matter · Physics 2009-11-07 J. R. Anglin

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

We solve the time-dependent Gross-Pitaevskii in 2-D to simulate the flow of an object through a dilute Bose condensate trapped in a harmonic well. We demonstrate vortex formation and analyze the process in terms of the accumulation of…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , J. F. McCann , C. S. Adams

We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach…

Quantum Gases · Physics 2025-11-18 Bao-Duy Le , Dinh-Thi Nguyen

We study the vortex nucleation in a finite Bose-Einstein condensate. Using a set of non-local and chiral boundary conditions to solve the Schr$\ddot{o}$dinger equation of non-interacting bosons in a rotating trap, we obtain a quantitative…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Eric Akkermans , Sankalpa Ghosh

When Bose-Eintein condensates are rotated sufficiently fast, a giant vortex phase appears, that is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation around the central hole. In a former paper…

Mathematical Physics · Physics 2015-05-19 Nicolas Rougerie