Thermodynamical properties of a trapped interacting Bose gas

Abstract

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 $T_c$ decreases as the interactions increase. Below the critical point, the condensation fraction exhibits a universal relation of $N_0/N=1-(T/T_c{)}^{\gamma }$, with the index $\gamma \approx 2.3$ independent of the interaction strength, the chemical potential, as well as the frequency of the confining potential.

5 figures, Accepted by Mod. Phys. Lett. B. arXiv admin note: text overlap with arXiv:cond-mat/0001079 by other authors

References in corpus (6)

• Dynamical Creation of Fractionalized Vortices and Vortex Lattices
• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
• Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases
• Critical Temperature of Dilute Bose Gases
• On the order of BEC transition in weakly interacting gases predicted by mean-field theory

Cited by in corpus (1)

• Condensate fraction and critical temperature of interacting Bose gas in anharmonic trap