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

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

2000-01-28

arxiv.org/abs/cond-mat/0001422v1

J. Phys. B 33, L779 (2000)

Physics

Condensed Matter

Statistical Mechanics

14 pages (RevTeX)

Scientific paper

10.1088/0953-4075/33/20/10j

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 $(T_c-T_c^0)/T_c^0 = -0.93 a\rho^{1/3}$, where T_c^0 is the transition temperature of the corresponding ideal Bose gas, a is the scattering length, and $\rho$ is the particle number density.

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