The transition temperature of the dilute interacting Bose gas

Details The transition temperature of the dilute interacting Bose gas The transition temperature of the dilute interacting Bose gas

1999-05-29

arxiv.org/abs/cond-mat/9905430v3

Phys.Rev.Lett.83:1703-1706,1999

Physics

Condensed Matter

Statistical Mechanics

4 pages, Revtex, to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.83.1703

We show that the critical temperature of a uniform dilute Bose gas must increase linearly with the s-wave scattering length describing the repulsion between the particles. Because of infrared divergences, the magnitude of the shift cannot be obtained from perturbation theory, even in the weak coupling regime; rather, it is proportional to the size of the critical region in momentum space. By means of a self-consistent calculation of the quasiparticle spectrum at low momenta at the transition, we find an estimate of the effect in reasonable agreement with numerical simulations.

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