Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0003063 · Physical Review A

Three-dimensional vortex dynamics in Bose-Einstein condensates

B. M. Caradoc-Davies, R. J. Ballagh, P. B. Blakie

Published Jun 15, 2000• 37 citations
arXivHTMLPDF

Abstract

We simulate in the mean-field limit the effects of rotationally stirring a three-dimensional trapped Bose-Einstein condensate with a Gaussian laser beam. A single vortex cycling regime is found for a range of trap geometries, and is well described as coherent cycling between the ground and the first excited vortex states. The critical angular speed of stirring for vortex formation is quantitatively predicted by a simple model. We report preliminary results for the collisions of vortex lines, in which sections may be exchanged.

DOI
10.1103/physreva.62.011602

Related papers

Coherent Dynamics of Vortex Formation in Trapped Bose-Einstein Condensates

B. M. Caradoc-Davies, R. J. Ballagh, Keith R. Burnett

Simulations of a rotationally stirred condensate show that a regime of simple behavior occurs in which a single vortex cycles in and out of the condensate. We present a simple quantitative model of this behavior, which accurately describes the full vortex dynamics, including a critical angular speed of stirring for vortex formation. A method for experimentally preparing a condensate in a central vortex state is suggested.

arXiv:cond-mat/9902092•Physical Review Letters•Aug 2, 1999•119 citations

Vortex Formation in a Stirred Bose-Einstein Condensate

Kirk W. Madison, Frédéric Chevy, Wendel Wohlleben +1 more

Using a focused laser beam we stir a Bose-Einstein condensate of 87Rb confined in a magnetic trap and observe the formation of a vortex for a stirring frequency exceeding a critical value. At larger rotation frequencies we produce states of the condensate for which up to four vortices are simultaneously present. We have also measured the lifetime of the single vortex state after turning off the stirring laser beam.

arXiv:cond-mat/9912015•Physical Review Letters•Jan 31, 2000•1,875 citations

Vortices in a stirred Bose-Einstein condensate

Kirk W. Madison, Frédéric Chevy, Wendel Wohlleben +1 more

We stir with a focused laser beam a Bose-Einstein condensate of 87Rb atoms confined in a magnetic trap. We observe the formation of a single vortex for a stirring frequency exceeding a critical value. At larger rotation frequencies we produce states of the condensate for which up to eleven vortices are simultaneously present. We present measurements of the decay of a vortex array once the stirring laser beam is removed.

arXiv:cond-mat/0004037•Journal of Modern Optics•Nov 1, 2000•151 citations

Quantized vortices in a gaseous Bose-Einstein condensate

Kirk W. Madison

Using a focused laser beam we stir a Bose-Einstein condensate confined in a magnetic trap. When the stirring frequency reaches a critical value, we observe the formation of a vortex at the center of the condensate. Using the quadrupolar excitation of the condensate we measure the angular momentum of the condensate with the vortex, and we find that it is ∼ℏ per particle, as expected. For larger stirring frequencies, regular arrays of vortices are observed.

AIP conference proceedings•Jan 1, 2001•0 citations

Isotropic vortex tangles in trapped atomic Bose-Einstein condensates via laser stirring

A. J. Allen, Nicholas G. Parker, Nick P. Proukakis +1 more

The generation of isotropic vortex configurations in trapped atomic Bose-Einstein condensates offers a platform to elucidate quantum turbulence on mesoscopic scales. We demonstrate that a laser-induced obstacle moving in a figure-8 path within the condensate provides a simple and effective means to generate an isotropic three-dimensional vortex tangle due to its minimal net transfer of angular momentum to the condensate. Our characterization of vortex structures and their isotropy is based on projected vortex lengths and velocity statistics obtained numerically via the Gross-Pitaevskii equation. Our methodology provides a possible experimental route for generating and characterizing vortex tangles and quantum turbulence in atomic Bose-Einstein condensates.

arXiv:1401.7257•Physical Review A•Feb 28, 2014•13 citations

Vortex dynamics in cubic-quintic Bose-Einstein condensates

Thudiyangal Mithun, Kuppuswamy Porsezian, Bishwajyoti Dey

We study vortex dynamics in a trapped Bose-Einstein condensate with tunable two- and three-body interactions. The dynamics is governed by two-dimensional cubic-quintic Gross-Pitaevskii equation. A time-dependent variational method has been used to obtain critical rotational frequency and surface mode frequency analytically and are compared with numerical simulation results. An imaginary time propagation method and Crank-Nicolson scheme for discretization have been used for numerical simulation. The numerically calculated average value of the angular momentum per particle shows very clearly its dynamical relation with the time development of the vortex formation. The rotational frequency dependence of the variation of average value of the angular momentum per particle with time shows that vortices form much faster in time for higher rotational frequency. Similarly, the vortex forms much faster in time with an increase of the strength of the repulsive three-body interaction. The simulation of the vortex lattice formation in the condensate shows that the presence of the three-body interactions does not alter the vortex lattice pattern but it helps in the shape deformations of the condensate thereby leading to vortex lattice formation. Likewise, the three-body interactions enable the vortex lattice formation in Bose-Einstein condensates even with attractive two-body interactions and in purely quintic BEC.

Physical Review E•Jul 8, 2013•25 citations
We simulate in the mean-field limit the effects of rotationally stirring a three-dimensional trapped Bose-Einstein condensate with a Gaussian laser beam. A single vortex cycling regime is found for a range of trap geometries, and is well described as coherent cycling between the ground and the first excited vortex states. The critical angular speed of stirring for vortex formation is quantitatively predicted by a simple model. We report preliminary results for the collisions of vortex lines, in which sections may be exchanged.
The generation of isotropic vortex configurations in trapped atomic Bose-Einstein condensates offers a platform to elucidate quantum turbulence on mesoscopic scales. We demonstrate that a laser-induced obstacle moving in a figure-8 path within the condensate provides a simple and effective means to generate an isotropic three-dimensional vortex tangle due to its minimal net transfer of angular momentum to the condensate. Our characterization of vortex structures and their isotropy is based on projected vortex lengths and velocity statistics obtained numerically via the Gross-Pitaevskii equation. Our methodology provides a possible experimental route for generating and characterizing vortex tangles and quantum turbulence in atomic Bose-Einstein condensates.
We study vortex dynamics in a trapped Bose-Einstein condensate with tunable two- and three-body interactions. The dynamics is governed by two-dimensional cubic-quintic Gross-Pitaevskii equation. A time-dependent variational method has been used to obtain critical rotational frequency and surface mode frequency analytically and are compared with numerical simulation results. An imaginary time propagation method and Crank-Nicolson scheme for discretization have been used for numerical simulation. The numerically calculated average value of the angular momentum per particle shows very clearly its dynamical relation with the time development of the vortex formation. The rotational frequency dependence of the variation of average value of the angular momentum per particle with time shows that vortices form much faster in time for higher rotational frequency. Similarly, the vortex forms much faster in time with an increase of the strength of the repulsive three-body interaction. The simulation of the vortex lattice formation in the condensate shows that the presence of the three-body interactions does not alter the vortex lattice pattern but it helps in the shape deformations of the condensate thereby leading to vortex lattice formation. Likewise, the three-body interactions enable the vortex lattice formation in Bose-Einstein condensates even with attractive two-body interactions and in purely quintic BEC.