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

Nicolay Korslund·Susanne Viefers
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Abstract

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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Nicolay Korslund, Susanne Viefers. 2006-05-08. Composite-fermion description of rotating Bose gases at low angular momenta. https://arxiv.org/abs/cond-mat/0602620

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