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The Transition Temperature of the Dilute Interacting Bose Gas

1999/05/31 by Gordon Baym, Jean-Paul Blaizot, Markus Holzmann +3 · 2 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Materials science #Momentum (technical analysis) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Position and momentum space #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Scattering #Scattering length #Transition temperature #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.83.1703

published as Phys.Rev.Lett.83:1703-1706,1999 · 4 pages, Revtex, to be published in Physical Review Letters

arxiv created 1999/08/08 · openalex publication_date 1999/08/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the critical temperature of a uniform dilute Bose gas increases 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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