Many-body T-matrix of a two-dimensional Bose-Einstein condensate within the Hartree-Fock-Bogoliubov formalism

Details Many-body T-matrix of a two-dimensional Bose-Einstein condensate within the Hartree-Fock-Bogoliubov formalism Many-body T-matrix of a two-dimensional Bose-Einstein condensate within the Hartree-Fock-Bogoliubov formalism

2004-09-28

arxiv.org/abs/cond-mat/0409724v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 6 figures

Scientific paper

10.1088/0953-4075/38/11/019

In a two-dimensional Bose-Einstein condensate the reduction in dimensionality fundamentally influences collisions between the atoms. In the crossover regime from three to two dimensions several scattering parameters have been considered. However, finite temperature results are more difficult to obtain. In this work we present the many-body T-matrix at finite temperatures within a gapless Hartree-Fock-Bogoliubov approach and compare to zero and finite temperature results obtained using different approaches. A semi-classical renormalization method is used to remove the ultra-violet divergence of the anomalous average.

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