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Öğe Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions(AMER PHYSICAL SOC, 2015) Cremon, J. C.; Jackson, A. D.; Karabulut, E. O.; Kavoulakis, G. M.; Mottelson, B. R.; Reimann, S. M.When a Bose-Einstein-condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field Gross-Pitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting Bose-Einstein condensate of harmonically trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean field is the correct leading-order approximation. Although we illustrate this approach for the case of weak interactions, it is expected to be more generally valid.
