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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)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
91
issue
3
article number
033623
publisher
American Physical Society
external identifiers
  • wos:000352074800005
  • scopus:84927518881
ISSN
1050-2947
DOI
10.1103/PhysRevA.91.033623
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
1b53116c-afa1-4b0c-8963-374ae9187172 (old id 5280789)
date added to LUP
2016-04-01 10:43:15
date last changed
2023-08-31 09:45:51
@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.}},
  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}},
  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}},
  doi          = {{10.1103/PhysRevA.91.033623}},
  volume       = {{91}},
  year         = {{2015}},
}