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Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions

Cremon, Jonas LU ; Jackson, A. D.; Karabulut, Elife LU ; Kavoulakis, G. M.; Mottelson, B. R. and Reimann, Stephanie LU (2015) In Physical Review A (Atomic, Molecular and Optical Physics) 91(3).
Abstract
When a Bose-Einstein-condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field Gross-Pitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting Bose-Einstein condensate of harmonically trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean field is the correct leading-order approximation. Although we illustrate this approach for the case... (More)
When a Bose-Einstein-condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field Gross-Pitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting Bose-Einstein condensate of harmonically trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean field is the correct leading-order approximation. Although we illustrate this approach for the case of weak interactions, it is expected to be more generally valid. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
91
issue
3
publisher
American Physical Society (APS)
external identifiers
  • wos:000352074800005
  • scopus:84927518881
ISSN
1050-2947
DOI
10.1103/PhysRevA.91.033623
language
English
LU publication?
yes
id
1b53116c-afa1-4b0c-8963-374ae9187172 (old id 5280789)
date added to LUP
2015-04-24 10:18:02
date last changed
2017-03-26 03:16:07
@article{1b53116c-afa1-4b0c-8963-374ae9187172,
  abstract     = {When a Bose-Einstein-condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field Gross-Pitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting Bose-Einstein condensate of harmonically trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean field is the correct leading-order approximation. Although we illustrate this approach for the case of weak interactions, it is expected to be more generally valid.},
  articleno    = {033623},
  author       = {Cremon, Jonas and Jackson, A. D. and Karabulut, Elife and Kavoulakis, G. M. and Mottelson, B. R. and Reimann, Stephanie},
  issn         = {1050-2947},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society (APS)},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions},
  url          = {http://dx.doi.org/10.1103/PhysRevA.91.033623},
  volume       = {91},
  year         = {2015},
}