Beyond the Fermi pseudopotential: A modified Gross-Pitaevskii equation

Haixiang Fu, Yuzhu Wang, and Bo Gao
Phys. Rev. A 67, 053612 – Published 27 May 2003
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Abstract

We present an effective potential and the corresponding modified Gross-Pitaevskii equation, which 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.

  • Received 17 February 2003

DOI:https://doi.org/10.1103/PhysRevA.67.053612

©2003 American Physical Society

Authors & Affiliations

Haixiang Fu1, Yuzhu Wang1, and Bo Gao1,2

  • 1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Department of Physics and Astronomy, University of Toledo, Toledo, Ohio 43606

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Vol. 67, Iss. 5 — May 2003

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