Composite-fermion description of rotating Bose gases at low angular momenta

Details Composite-fermion description of rotating Bose gases at low angular momenta Composite-fermion description of rotating Bose gases at low angular momenta

2006-02-27

arxiv.org/abs/cond-mat/0602620v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages (RevTeX), 1 figure. Slightly revised version (accepted for publication in Phys Rev A)

Scientific paper

We study the composite fermion construction at and below the single vortex ($L=N$) state of weakly interacting rotating Bose gases, presenting a new method for handling the large number of derivatives typically occurring via the Slater determinant. Remarkably, the CF wave function at $L=N$ becomes {\em exact} in the large $N$ limit, even though this construction is not, {\em a priori}, expected to work in the low angular momentum regime. This implies an interesting mathematical identity which may be useful in other contexts.

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