Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-10-27
Physics
Condensed Matter
Statistical Mechanics
5 pages, no figures
Scientific paper
Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be determined this way. New analytical results reported here are for the finite-temperature two-point correlation functions below the critical temperatures in d=3,2 and 1 dimensions. Only for d=3 are correlations both long range and coherent - at long range consistent with the existence of a coherent state of the condensate in the trap. The two-dimensional condensate is marginally stable in the sense that correlations decay by a power law.
Bogoliubov Nikolay M.
Bullough Robin K.
Kapitonov V. S.
Malyshev C.
Timonen Jussi
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