Beyond Fermi pseudopotential: a modified GP equation

Details Beyond Fermi pseudopotential: a modified GP equation Beyond Fermi pseudopotential: a modified GP equation

2003-02-17

arxiv.org/abs/cond-mat/0302331v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 5 figures

Scientific paper

10.1103/PhysRevA.67.053612

We present an effective potential and the corresponding modified Gross-Pitaevskii equation that account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground state energy of a trapped condensate, the theory leads to what we call a shape-dependent confinement correction that improves agreements with diffusion Monte Carlo calculations. The theory illustrates, for relatively strong confinement and/or high density, how the shape dependence on atom-atom interaction can come into play in a many-atom quantum system.

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