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Bulletin of the American Physical Society

2D and 3D topological states of cold atoms with synthetic gauge fields

Congjun Wu, Yi Li, Xiang-Fa Zhou

Published Jun 6, 2012• 0 citations
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We systematically investigate the ground-state and elementary excitations of a Bose-Einstein condensate within a synthetic vector potential, which is induced by the many-body effects and atom-light coupling. For a sufficiently strong spin-dependent interaction, we find the condensate undergoes a Stoner-type ferromagnetic transition through the self-consistent coupling with the vector potential. For a weak interaction, the critical velocity of a supercurrent is anisotropic due to the density fluctuations affecting the gauge field. We further analytically demonstrate the topological ground state with a coreless vortex ring in a three-dimensional (3D) harmonic trap and a coreless vortex-antivortex pair in a two-dimensional (2D) trap. The circulating persistent current is measurable in the time-of-flight experiment or in the dipolar oscillation through the violation of the Kohn theorem.
Synthetic gauge fields with ultracold atoms offer a route to quantum matter in which electromagnetic environments can be designed rather than merely imposed. While the Harper-Hofstadter model has been realized in several cold-atom systems, existing implementations are largely limited to spatially uniform magnetic fluxes. Here we experimentally realize a highly programmable two-dimensional momentum-state lattice of ultracold atoms with local control over the Peierls phase pattern, enabling direct implementation of Harper-Hofstadter Hamiltonians with tunable and spatially structured synthetic gauge fields. We observe a crossover from ballistic to strongly flux-modified bulk dynamics with suppressed transport. By introducing a synthetic electric field through site-dependent energy gradients, we further demonstrate Hall-type transverse drift arising from the interplay between electric and magnetic fields. In addition, we engineer a synthetic flux domain wall separating regions with opposite magnetic fluxes and observe anisotropic propagation guided along the interface. These results move cold-atom gauge-field engineering from uniform magnetic backgrounds toward designer gauge textures, providing an experimental setting for transport across programmable topological interfaces.