Simple model for interactions and corrections to the Gross-Pitaevskii equation
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PhysRevA.90.023620.pdf
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335.16 KB
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Author(s)
Veksler, Hagar
Fishman, Shmuel
Ketterle, Wolfgang
Date Issued
August 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Veksler, Hagar, Shmuel Fishman, and Wolfgang Ketterle. "Simple model for interactions and corrections to the Gross-Pitaevskii equation." Phys. Rev. A 90, 023620 (August 2014). © 2014 American Physical Society
Version
Final published version
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 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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
MIT-Harvard Center for Ultracold Atoms
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.90.023620
