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Low dimensional Bose gases

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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Abstract

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.

Publication metadata

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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