Issue |
Europhys. Lett.
Volume 55, Number 6, September II 2001
|
|
---|---|---|
Page(s) | 755 - 761 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2001-00345-2 | |
Published online | 01 December 2003 |
Finite-temperature correlations in the trapped Bose-Einstein gas
1
Steklov Institute of Mathematics at St. Petersburg Fontanka 27,
191011 St. Petersburg, Russia
2
Department of Mathematics, The University of Manchester Institute
of Science and Technology - P.O. Box 88, Manchester M60 1QD, UK
3
St. Petersburg Technological Institute
Moskovsky 26, 196013 St. Petersburg, Russia
4
Department of Physics, University of Jyväskylä P.O. Box 35,
FIN-40351 Jyväskylä, Finland
Received:
16
February
2001
Accepted:
27
June
2001
New analytical results are reported for the two-point correlation function
at nonzero temperatures in d=3,2 and 1 dimensions. Only for d=3 are
correlations below Tc both long range and coherent —at long range
consistent with the existence of a coherent state of the condensate in the
trap. Asymptotically these correlations are found to decay as
towards a nonzero value.
The condensate density
, with
,
is a slowly varying function and introduces a small amplitude variation in
the decay of correlations when considered as a function of
. The prediction of a
-dependence at least
has very recently been confirmed in a beautiful experiment
(Bloch I., Hänsch T. W. and Esslinger T. REVIEWNature4032000166).
The two-dimensional condensate is marginally stable in
the sense that for
correlations decay by a power law.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 05.30.Jp – Boson systems
© EDP Sciences, 2001
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