Two point correlations of a trapped interacting Bose gas at finite temperature

Details Two point correlations of a trapped interacting Bose gas at finite temperature Two point correlations of a trapped interacting Bose gas at finite temperature

2007-10-31

arxiv.org/abs/0710.5798v1

Phys. Rev. A 77, 023602 (2008)

Physics

Condensed Matter

Other Condensed Matter

9 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.023602

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low energy modes and treats the high energy modes using a Hartree-Fock description. We present results of first and second order correlation functions, in position and momentum space, for an experimentally realistic system in the temperature range of $0.6T_c$ to $1.0T_c$. We also characterize the spatial coherence length of the system. Our theory should be applicable in the critical region where experiments are now able to measure first and second order correlations.

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