Rotation of an atomic Bose-Einstein condensate with and without a quantized vortex

Details Rotation of an atomic Bose-Einstein condensate with and without a quantized vortex Rotation of an atomic Bose-Einstein condensate with and without a quantized vortex

2007-06-05

arxiv.org/abs/0706.0584v1

J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 3615-3628

Physics

Condensed Matter

Other Condensed Matter

15 pages, 8 figures

Scientific paper

10.1088/0953-4075/40/18/004

We theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically increasing the rotation frequency at fixed ellipticity, and adiabatically increasing the trap ellipticity at fixed rotation frequency. Extensive simulations of the Gross-Pitaevskii equation are employed to map out the points where the condensate becomes unstable and ultimately forms a vortex lattice. We highlight the key features of having a quantized vortex in the initial condensate. In particular, we find that the presence of the vortex causes the instabilities to shift to lower or higher rotation frequencies, depending on the direction of the vortex relative to the trap rotation.

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