Simple model for interactions and corrections to the Gross-Pitaevskii equation

Hagar Veksler, Shmuel Fishman, Wolfgang Ketterle

Research output: Contribution to journalArticlepeer-review


One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle potential is introduced. The correction to the GPE predictions for the energy of a condensate confined by a harmonic trap in the Thomas-Fermi 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.

Original languageEnglish
Article number023620
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - 13 Aug 2014
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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