Condensates in annuli: dimensionality of the variance

Research output: Contribution to journalArticlepeer-review


Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schrödinger 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.

Original languageEnglish
Pages (from-to)2108-2120
Number of pages13
JournalMolecular Physics
Issue number15-16
StatePublished - 18 Aug 2019

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.


  • 03.65.-w
  • 03.75.Hh
  • 03.75.Kk
  • 67.85.Bc
  • 67.85.De
  • Bose-Einstein condensates
  • density
  • dimensionality
  • variance

ASJC Scopus subject areas

  • Biophysics
  • Molecular Biology
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


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