Finite temperature scaling theory for the collapse of Bose-Einstein condensate

Abstract

We show how to apply the scaling theory in an inhomogeneous system like harmonically trapped Bose condensate at finite temperatures. We calculate the temperature dependence of the critical number of particles by a scaling theory within the Hartree-Fock approximation and find that there is a dramatic increase in the critical number of particles as the condensation point is approached.

Published online [6 pages, 3 figures]

References in corpus (4)

• Bose-Einstein condensation of chromium
• Rigorous Derivation of the Gross-Pitaevskii Equation
• Bose-Einstein condensate collapse: a comparison between theory and experiment
• Optimal trap shape for a Bose gas with attractive interactions

Cited by in corpus (8)

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• Particle scattering by harmonically trapped Bose and Fermi gases
• Excess energy of an ultracold Fermi gas in a trapped geometry
• Energy fluctuation and discontinuity of specific heat
• Finite-size effects on the cluster expansions for quantum gases in restricted geometries
• Casimir effect for a Bose-Einstein condensate inside a cylindrical tube
• A proof to Biswas-Mitra-Bhattacharyya conjecture for ideal quantum gas trapped under generic power law potential $U={\sum }_{i=1}^d{c}_i|\frac{x_i}{a_i}{|}^{n_i}$ in $d$ dimension
• Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point