Bose-Einstein condensation temperature of a homogeneous weakly interacting Bose gas in variational perturbation theory through six loops

2003/03/31 by Boris Kastening · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.stat-mech #hep-ph #quant-ph

paper · pdf · doi:10.1103/physreva.68.061601

published as Phys.Rev. A68 (2003) 061601 · 4 pages; omega' corrected: final result changes slightly to 1.25+/-0.13; references added; several minor changes

arxiv created 2003/07/15 · openalex publication_date 2003/12/04 · arxiv updated 2009/11/30 · openalex created_date 2022/05/12 · openalex updated_date 2026/07/28

Abstract

We compute the shift of the transition temperature for a homogeneous weakly interacting Bose gas in leading order in the scattering length a for given particle density n. Using variational perturbation theory through six loops in a classical three-dimensional scalar field theory, we obtain \ensuremathΔT_c/T_c=1.25\ifmmode±\else\textpm\fi0.13an^1/3, in agreement with recent Monte Carlo results.

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