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Scaling and thermodynamics of a trapped Bose-condensed gas

S. Giorgini·L. Pitaevskii·S. Stringari
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Abstract

We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation of the trap, s-wave scattering length) fix its large N thermodynamic behaviour through two dimensionless scaling parameters. These are the reduced temperature t=T/T^0_c and the ratio ηbetween the T=0 value of the chemical potential, evaluated in the Thomas-Fermi limit, and the critical temperature T_c^0 of the non-interacting model. The scaling functions relative to the condensate fraction, energy, chemical potential and moment of inertia are calculated within the Popov approximation.

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S. Giorgini, L. Pitaevskii, S. Stringari. 1996-12-20. Scaling and thermodynamics of a trapped Bose-condensed gas. https://doi.org/10.1103/physrevlett.78.3987

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