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A simple model for interactions and corrections to the Gross-Pitaevskii Equation

Authors
  • Veksler, Hagar
  • Fishman, Shmuel
  • Ketterle, Wolfgang
Type
Published Article
Publication Date
Aug 27, 2014
Submission Date
Apr 09, 2014
Identifiers
DOI: 10.1103/PhysRevA.90.023620
Source
arXiv
License
Yellow
External links

Abstract

One of the assumptions leading to the Gross-Pitaevskii Equation (GPE) is that the interaction between atom pairs can be written effectively as a \delta -function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the inter-particle potential is introduced. The correction to the GPE predictions for the energy of a condensate confined by a harmonic trap in the Thomas-Fermi (TF) regime is estimated. Although it is found to be small, we believe that in some situations it can be measured using its dependance on the frequency of the confining trap. Due to the simplicity of the model, it may have a wide range of applications.

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