Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation

Details Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation

2000-12-07

arxiv.org/abs/cond-mat/0012101v1

Phys.Rev. A65 (2002) 033615

Physics

Condensed Matter

19 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevA.65.033615

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 are generalizing Schick's result for the ground state energy of a homogeneouns Bose gas to the case of a trapped Bose gas.

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