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Bose condensates at high angular momenta

S. Viefers·T. H. Hansson·S. M. Reimann
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Abstract

We exploit the analogy with the Quantum Hall (QH) system to study weakly interacting bosons in a harmonic trap. For a $δ$-function interaction potential the ``yrast'' states with $L\ge N(N-1)$ are degenerate, and we show how this can be understood in terms of Haldane exclusion statistics. We present spectra for 4 and 8 particles obtained by numerical and algebraic methods, and demonstrate how a more general hard-core potential lifts the degeneracies on the yrast line. The exact wavefunctions for N=4 are compared with trial states constructed from composite fermions (CF), and the possibility of using CF-states to study the low L region at high N is discussed.

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S. Viefers, T. H. Hansson, S. M. Reimann. 2000-03-06. Bose condensates at high angular momenta. https://doi.org/10.1103/physreva.62.053604

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