Rotating BoseEinstein condensates: Closing the gap between exact and meanfield solutions
(2015) In Physical Review A (Atomic, Molecular and Optical Physics) 91(3). Abstract
 When a BoseEinsteincondensed 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 meanfield GrossPitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting BoseEinstein 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 leadingorder approximation. Although we illustrate this approach for the case... (More)
 When a BoseEinsteincondensed 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 meanfield GrossPitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting BoseEinstein 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 leadingorder 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:
http://lup.lub.lu.se/record/5280789
 author
 Cremon, Jonas ^{LU} ; Jackson, A. D. ; Karabulut, Elife ^{LU} ; Kavoulakis, G. M. ; Mottelson, B. R. and Reimann, Stephanie ^{LU}
 organization
 publishing date
 2015
 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
 10502947
 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
 1b53116cafa14b0c8963374ae9187172 (old id 5280789)
 date added to LUP
 20160401 10:43:15
 date last changed
 20200212 02:37:04
@article{1b53116cafa14b0c8963374ae9187172, abstract = {When a BoseEinsteincondensed 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 meanfield GrossPitaevskii solution and a "complementary" space including the corrections beyond mean field. Considering a weakly interacting BoseEinstein 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 leadingorder 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 = {10502947}, language = {eng}, number = {3}, publisher = {American Physical Society}, series = {Physical Review A (Atomic, Molecular and Optical Physics)}, title = {Rotating BoseEinstein condensates: Closing the gap between exact and meanfield solutions}, url = {http://dx.doi.org/10.1103/PhysRevA.91.033623}, doi = {10.1103/PhysRevA.91.033623}, volume = {91}, year = {2015}, }