Hannover 2003 – scientific programme

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Q: Quantenoptik

Q 27: Poster: Quantengase

Q 27.10: Poster

Tuesday, March 25, 2003, 16:30–18:30, Lichthof

Renormalization Group Of A Harmonically Trapped Interacting Bose Gas — •Georgios Metikas, Oliver Zobay, and Gernot Alber — Theoretische Quantenphysik, Institut für Angewandte Physik, TU Darmstadt

We derive renormalization group equations for a dilute interacting Bose gas in an isotropic harmonic trap with repulsive short-range interactions. For this purpose the bosonic field is split in high and low energy modes and energy shells are integrated out successively [1]. We point out the qualitative differences from the homogeneous case; due to the system having finite size, the maximum number of renormalization steps is finite [2], and, due to the discreteness of the energy eigenvalues, the density of states is now given by a more complicated expression. We then show how the homogeneous limit can be obtained from our results. Finally, we proceed to the study of universal and non-universal critical properties by means of both analytical and numerical methods.

[1] G. Metikas and G. Alber, J.Phys. B35, 4223, (2002)

[2] J.O. Andersen and M. Strickland, Phys.Rev. A60, 1442, (1999)