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arXiv · 1011.4315

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

L. B. Taylor·R. M. W. van Bijnen·D. H. J. O'Dell·N. G. Parker·S. J. J. M. F. Kokkelmans·A. M. Martin
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Abstract

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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L. B. Taylor, R. M. W. van Bijnen, D. H. J. O'Dell, N. G. Parker, S. J. J. M. F. Kokkelmans, A. M. Martin. 2010-11-18. Synthetic magneto-hydrodynamics in Bose-Einstein condensates and routes to vortex nucleation. https://doi.org/10.1103/physreva.84.021604

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