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Vortex patterns in a fast rotating Bose-Einstein condensate (11 pages)

Amandine Aftalion

Physical Review AJan 1, 20050 citations

Vortex patterns of a two-dimensional Bose–Einstein condensate at the almost critical rotation speed

Bao-Duy Le, Dinh-Thi Nguyen

arXiv:2511.13212The European Physical Journal PlusAug 16, 20260 citations

Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential

Matthew Edmonds, Muneto Nitta

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is within the reach of current experimental techniques with ultracold atom experiments. The nonlinear rotation has a twofold effect; as well as distorting the shape of the condensate it also leads to an inhomogeneous vorticity resulting in unique morphological and topological states, including ring vortex arrangements that do not follow the standard Abrikosov result. The dynamics of trapped vortices are also explored, which differ from the case of rigid-body rotation due to the absence of a global laboratory reference frame.We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is within the reach of current experimental techniques with ultracold atom experiments. The nonlinear rotation has a twofold effect; as well as distorting the shape of the condensate it also leads to an inhomogeneous vorticity resulting in unique morphological and topological states, including ring vortex arrangements that do not follow the standard Abrikosov result. The dynamics of trapped vortices are also explored, which differ from the case of rigid-body rotation due to the absence of a global laboratory reference frame.

arXiv:2002.09189Physical Review AJul 27, 202018 citations

Motion of vortices in inhomogeneous Bose-Einstein condensates

AJ Groszek, DM Paganin, K Helmerson +1 more

Feb 12, 20180 citations

Velocity of vortices in inhomogeneous Bose–Einstein condensates

Halvor Møll Nilsen, Gordon Baym, C. J. Pethick

We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the vortex velocity is a sum of the local superfluid velocity, plus a correction related to the density gradient near the vortex. A consequence is that in rapidly rotating, harmonically trapped Bose-Einstein condensates, unlike in the usual situation in slowly rotating condensates and in hydrodynamics, vortices do not move with the local fluid velocity. We indicate how Kelvin's conservation of circulation theorem is compatible with the velocity of the vortex center being different from the local fluid velocity. Finally, we derive an exact wave function for a single vortex near the rotation axis in a weakly interacting system, from which we derive the vortex precession rate.We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the vortex velocity is a sum of the local superfluid velocity, plus a correction related to the density gradient near the vortex. A consequence is that in rapidly rotating, harmonically trapped Bose-Einstein condensates, unlike in the usual situation in slowly rotating condensates and in hydrodynamics, vortices do not move with the local fluid velocity. We indicate how Kelvin's conservation of circulation theorem is compatible with the velocity of the vortex center being different from the local fluid velocity. Finally, we derive an exact wave function for a single vortex near the rotation axis in a weakly interacting system, from which we derive the vortex precession rate.

arXiv:cond-mat/0508195Proceedings of the National Academy of SciencesMay 15, 200632 citations

Vortex Decay Dynamics in a Rotating Bose-Einstein Condensate

Ian R. Coddington, P. C. Haljan, Peter Engels +1 more

APSMay 1, 20020 citations

Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates

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