Dependence of the BEC transition temperature on interaction strength: a perturbative analysis

2000/01/28 by Martin Wilkens, Fabrizio Illuminati, Meret Kraemer · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-4075/33/20/10j

published as J. Phys. B 33, L779 (2000) · 14 pages (RevTeX)

arxiv created 2000/01/28 · arxiv updated 2009/11/30

Abstract

We compute the critical temperature T_c of a weakly interacting uniform Bose gas in the canonical ensemble, extending the criterion of condensation provided by the counting statistics for the uniform ideal gas. Using ordinary perturbation theory, we find in first order (T_c-T_c⁰)/T_c⁰ = -0.93 aρ^1/3, where T_c⁰ is the transition temperature of the corresponding ideal Bose gas, a is the scattering length, and ρ is the particle number density.

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