Engineering of synthetic magnetic flux in Bose-Einstein condensates [ Lin et al. Nature (London) 462 628 (2009)] has prospects for attaining the high vortex densities necessary to emulate the fractional quantum Hall effect. We analytically establish the hydrodynamical behavior 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.
|Number of pages||4|
|Journal||Physical Review A : Atomic, Molecular and Optical Physics|
|Publication status||Published - 2011|