Quantum kinetic theory for the collapse of Bose-Einstein condensate

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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3 pages, 1 figure

Scientific paper

We show how to apply the quantum kinetic theory in an inhomogeneous system like harmonically trapped Bose condensate. We calculate the temperature dependence of the critical number of particles by a quantum kinetic 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. Our results support the experimental result which was obtained well below the condensation temperature. The nature of the temperature dependence of the critical number obtained from the quantum kinetic theory is the same as obtained from the scaling theory.

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