Critical Temperature Shift in Weakly Interacting Bose Gas

2001/03/06 by Nikolay Prokof'ev, Nikolay Prokof’ev, Boris Svistunov +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0103149

4 pages, latex, 3 figures

arxiv created 2001/03/06 · arxiv updated 2009/11/30

Abstract

With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional |ψ|⁴-theory (which includes quantum Bose gas). In terms of critical density, n_c, mass, m, interaction, U, and temperature, T, this shift is universal: Δn_c(T) = - C m³ T² U, the constant C found to be equal to 0.0140 ± 0.0005. For quantum Bose gas with the scattering length a this implies ΔT_c/T_c = C₀ a n^1/3, with C₀=1.29 ± 0.05.

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