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Condensates in annuli: Dimensionality of the variance

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 نشر من قبل Ofir Alon
 تاريخ النشر 2019
  مجال البحث فيزياء
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 تأليف Ofir E. Alon




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Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schrodinger equation numerically accurately using the multiconfigurational time-dependent Hartree for bosons method. We concentrate on weakly-interacting bosons exhibiting low depletion. Analysis of the mean-field position variance, which accounts for the shape of the density only, and the many-body position variance, which incorporates a tiny amount of excitations through the reduced two-particle density matrix, shows that the former behaves essentially as a quasi-one-dimensional quantity whereas the latter as a two-dimensional quantity. This brings another dimension to the physics of bosons in ring-shaped traps.



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