2012/01/11 by Shi-Jie Yang, Yuechan Liu, Shiping Feng
Physics and Astronomy · #cond-mat.quant-gas
paper · pdf · doi:10.1142/s0217984912500534
published as Mod.Phys.Lett.B 26,1250053 (2010) · 5 figures, Accepted by Mod. Phys. Lett. B. arXiv admin note: text overlap with arXiv:cond-mat/0001079 by other authors
arxiv created 2012/01/11 · arxiv updated 2015/06/03
The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field potential. The eigenvalue of the Gross-Pitaevskii equation is identified as the chemical potential of the ideal gas. The condensation temperature and density profile of atoms are calculated. It is found that the critical temperature Tc decreases as the interactions increase. Below the critical point, the condensation fraction exhibits a universal relation of N0/N=1-(T/Tc)γ, with the index γ≈ 2.3 independent of the interaction strength, the chemical potential, as well as the frequency of the confining potential.