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Synthetic magneto-hydrodynamics in Bose-Einstein condensates and routes to vortex nucleation

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 Publication date 2010
  fields Physics
and research's language is English




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Engineering of synthetic magnetic flux in Bose-Einstein condensates [Lin et al., Nature {bf 462}, 628 (2009)] has prospects for attaining the high vortex densities necessary to emulate the fractional quantum Hall effect. We analytically establish the hydrodynamical behaviour of a condensate in a uniform synthetic magnetic field, including its density and velocity profile. Importantly, we find that the onset of vortex nucleation observed experimentally corresponds to a dynamical instability in the hydrodynamical solutions and reveal other routes to instability and anticipated vortex nucleation.



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214 - R. A. Williams , S. Al-Assam , 2010
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