4.6 Article

Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions

期刊

PHYSICAL REVIEW A
卷 91, 期 3, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.033623

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  1. Swedish Research Council
  2. Nanometer Structure Consortium at Lund University
  3. POLATOM ESF research networking program

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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.

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