Phys. Rev. A 65, 033615 (2002) [7 pages]Ground state of a trapped Bose-Einstein condensate in two dimensions: Beyond the mean-field approximationReceived 17 September 2001; published 20 February 2002 We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation the ground-state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to the density profile to second order in an expansion around the Thomas-Fermi limit. By summing the ladder diagrams, we obtain a modified equation that includes gradient corrections. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.033615
DOI:
10.1103/PhysRevA.65.033615
PACS:
03.75.Fi
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