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

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

2010-11-18

arxiv.org/abs/1011.4315v1

Phys. Rev A 84, 021604(R) (2011)

Physics

Condensed Matter

Quantum Gases

4 pages with 2 figures

Scientific paper

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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