Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance

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We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. Explicitly, we study the ground state of the anisotropic harmonic-interaction model in two spatial dimensions analytically and the out-of-equilibrium dynamics of repulsive bosons in tilted two-dimensional annuli numerically accurately by using the multiconfigurational time-dependent Hartree for bosons method. The differences between the variances at the mean-field level, which are attributed to the shape of the BEC, and the variances at the many-body level, which incorporate depletion, are used to characterize position, momentum, and angular-momentum correlations in the BEC for finite systems and at the limit of an infinite number of particles where the bosons are 100% condensed. Finally, we also explore inter-connections between the variances.

Original languageEnglish
Article number1344
Number of pages22
Issue number11
StatePublished - 1 Nov 2019

Bibliographical note

Funding Information:
This research was funded by Israel Science Foundation (Grant No. 600/15).

Publisher Copyright:
© 2019 by the authors.


  • Angular-momentum variance
  • Bose-Einstein condensates
  • Density
  • Harmonic-interaction model
  • Momentum variance
  • Position variance

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • General Mathematics
  • Physics and Astronomy (miscellaneous)


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