Transition Temperature of a Uniform Imperfect Bose Gas

Details Transition Temperature of a Uniform Imperfect Bose Gas Transition Temperature of a Uniform Imperfect Bose Gas

1999-04-01

arxiv.org/abs/cond-mat/9904027v1

Physics

Condensed Matter

Email correspondence to huang@mitlns.mit.edu ; 2 pages using REVTeX

Scientific paper

10.1103/PhysRevLett.83.3770

We calculate the transition temperature of a uniform dilute Bose gas with repulsive interactions, using a known virial expansion of the equation of state. We find that the transition temperature is higher than that of an ideal gas, with a fractional increase K_0(na^3)^{1/6}, where n is the density and a is the S-wave scattering length, and K_0 is a constant given in the paper. This disagrees with all existing results, analytical or numerical. It agrees exactly in magnitude with a result due to Toyoda, but has the opposite sign.

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