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Lookup NU author(s): Professor Nikolaos ProukakisORCiD
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We present an improved many-body T-matrix theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. The resulting mean-field theory is valid in arbitrary dimensions and able to describe the low-temperature crossover between three-, two-, and one-dimensional Bose gases. When applied to a degenerate two-dimensional atomic hydrogen gas, we obtain a reduction of the three-body recombination rate, which compares favorably with experiment. Supplementing the mean-field theory with a renormalization-group approach to treat the critical fluctuations, we also incorporate into the theory the Kosterlitz-Thouless transition that occurs in a homogeneous Bose gas in two dimensions. In particular, we calculate the critical conditions for the Kosterlitz-Thouless phase transition as a function of the microscopic parameters of the theory. The proposed theory is further applied to a trapped one-dimensional Bose gas, where we find good agreement with exact numerical results obtained by solving a nonlinear Langevin field equation.
Author(s): Al Khawaja U, Andersen JO, Proukakis NP, Stoof HTC
Publication type: Article
Publication status: Published
Journal: Physical Review A: Atomic, Molecular and Optical Physics
Year: 2002
Volume: 66
Issue: 1
ISSN (print): 1050-2947
ISSN (electronic): 1094-1622
Publisher: American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevA.66.013615
DOI: 10.1103/PhysRevA.66.013615
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