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

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.

4 pages with 2 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Synthetic magnetic fields for ultracold neutral atoms
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Phase diagram for a Bose-Einstein condensate moving in an optical lattice
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Collective excitation frequencies and stationary states of trapped dipolar Bose-Einstein condensates in the Thomas-Fermi regime
• Instabilities leading to vortex lattice formation in rotating Bose-Einstein condensates
• Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
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Cited by in corpus (5)

• Vortices and vortex lattices in quantum ferrofluids
• Gauge matters: Observing the vortex-nucleation transition in a Bose condensate
• Trapped Bose-Einstein condensates in synthetic magnetic field
• Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
• Vortex nucleations in spinor Bose condensates under localized synthetic magnetic fields